Find GCF and LCM - 6th Grade Math
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What is the greatest common factor (GCF) of $81$ and $63$?
What is the greatest common factor (GCF) of $81$ and $63$?
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$9$. Both $81$ and $63$ are divisible by $9$ with no larger common factor.
$9$. Both $81$ and $63$ are divisible by $9$ with no larger common factor.
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What expression factors $36+8$ using the GCF and leaves no common factor inside parentheses?
What expression factors $36+8$ using the GCF and leaves no common factor inside parentheses?
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$4(9+2)$. GCF of $36$ and $8$ is $4$; $36÷4=9$, $8÷4=2$.
$4(9+2)$. GCF of $36$ and $8$ is $4$; $36÷4=9$, $8÷4=2$.
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What is the least common multiple (LCM) of $10$ and $12$?
What is the least common multiple (LCM) of $10$ and $12$?
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$60$. The smallest number that both $10$ and $12$ divide into.
$60$. The smallest number that both $10$ and $12$ divide into.
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What is the distributive property pattern for factoring a common factor: $ab+ac$?
What is the distributive property pattern for factoring a common factor: $ab+ac$?
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$ab+ac=a(b+c)$. Factor out the common term $a$ from both addends.
$ab+ac=a(b+c)$. Factor out the common term $a$ from both addends.
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What is the distributive property pattern for expanding: $a(b+c)$?
What is the distributive property pattern for expanding: $a(b+c)$?
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$a(b+c)=ab+ac$. Multiply $a$ by each term inside the parentheses.
$a(b+c)=ab+ac$. Multiply $a$ by each term inside the parentheses.
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What is the greatest common factor (GCF) of $24$ and $36$?
What is the greatest common factor (GCF) of $24$ and $36$?
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$12$. Find the largest number that divides both $24$ and $36$ evenly.
$12$. Find the largest number that divides both $24$ and $36$ evenly.
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What is the greatest common factor (GCF) of $45$ and $60$?
What is the greatest common factor (GCF) of $45$ and $60$?
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$15$. The largest factor shared by both $45$ and $60$.
$15$. The largest factor shared by both $45$ and $60$.
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What is the greatest common factor (GCF) of $64$ and $96$?
What is the greatest common factor (GCF) of $64$ and $96$?
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$32$. Since $64 = 2^6$ and $96 = 2^5 imes 3$, GCF is $2^5 = 32$.
$32$. Since $64 = 2^6$ and $96 = 2^5 imes 3$, GCF is $2^5 = 32$.
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What is the least common multiple (LCM) of $4$ and $6$?
What is the least common multiple (LCM) of $4$ and $6$?
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$12$. The smallest number divisible by both $4$ and $6$.
$12$. The smallest number divisible by both $4$ and $6$.
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What is the least common multiple (LCM) of $8$ and $12$?
What is the least common multiple (LCM) of $8$ and $12$?
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$24$. Find the smallest multiple shared by $8$ and $12$.
$24$. Find the smallest multiple shared by $8$ and $12$.
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What is the least common multiple (LCM) of $9$ and $12$?
What is the least common multiple (LCM) of $9$ and $12$?
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$36$. The first common multiple of $9$ and $12$ is $36$.
$36$. The first common multiple of $9$ and $12$ is $36$.
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What is the least common multiple (LCM) of $5$ and $12$?
What is the least common multiple (LCM) of $5$ and $12$?
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$60$. Since $5$ and $12$ share no factors, LCM = $5 imes 12$.
$60$. Since $5$ and $12$ share no factors, LCM = $5 imes 12$.
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What is the least common multiple (LCM) of $6$ and $7$?
What is the least common multiple (LCM) of $6$ and $7$?
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$42$. Since $6$ and $7$ are coprime, LCM = $6 imes 7$.
$42$. Since $6$ and $7$ are coprime, LCM = $6 imes 7$.
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What expression factors $84+30$ using the GCF and leaves no common factor inside parentheses?
What expression factors $84+30$ using the GCF and leaves no common factor inside parentheses?
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$6(14+5)$. GCF of $84$ and $30$ is $6$; factor completely.
$6(14+5)$. GCF of $84$ and $30$ is $6$; factor completely.
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What expression factors $90+75$ using the GCF and leaves no common factor inside parentheses?
What expression factors $90+75$ using the GCF and leaves no common factor inside parentheses?
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$15(6+5)$. GCF of $90$ and $75$ is $15$; divide to get the factors.
$15(6+5)$. GCF of $90$ and $75$ is $15$; divide to get the factors.
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What expression factors $63+42$ using the GCF and leaves no common factor inside parentheses?
What expression factors $63+42$ using the GCF and leaves no common factor inside parentheses?
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$21(3+2)$. Factor out GCF $21$ from both terms.
$21(3+2)$. Factor out GCF $21$ from both terms.
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What expression factors $28+56$ using the GCF and leaves no common factor inside parentheses?
What expression factors $28+56$ using the GCF and leaves no common factor inside parentheses?
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$28(1+2)$. GCF of $28$ and $56$ is $28$; $56÷28=2$.
$28(1+2)$. GCF of $28$ and $56$ is $28$; $56÷28=2$.
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What is the greatest common factor (GCF) of $54$ and $72$?
What is the greatest common factor (GCF) of $54$ and $72$?
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$18$. Both numbers share $18$ as their highest common divisor.
$18$. Both numbers share $18$ as their highest common divisor.
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What is the greatest common factor (GCF) of $35$ and $49$?
What is the greatest common factor (GCF) of $35$ and $49$?
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$7$. Since $35 = 5 imes 7$ and $49 = 7 imes 7$, GCF is $7$.
$7$. Since $35 = 5 imes 7$ and $49 = 7 imes 7$, GCF is $7$.
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What expression factors $48+18$ using the GCF and leaves no common factor inside parentheses?
What expression factors $48+18$ using the GCF and leaves no common factor inside parentheses?
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$6(8+3)$. GCF of $48$ and $18$ is $6$; factor it out completely.
$6(8+3)$. GCF of $48$ and $18$ is $6$; factor it out completely.
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What is the greatest common factor (GCF) of $a$ and $b$?
What is the greatest common factor (GCF) of $a$ and $b$?
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The greatest whole number that divides both $a$ and $b$. The GCF is the largest factor shared by both numbers.
The greatest whole number that divides both $a$ and $b$. The GCF is the largest factor shared by both numbers.
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What is the least common multiple (LCM) of $a$ and $b$?
What is the least common multiple (LCM) of $a$ and $b$?
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The smallest positive whole number that is a multiple of both $a$ and $b$. The LCM is the smallest number divisible by both.
The smallest positive whole number that is a multiple of both $a$ and $b$. The LCM is the smallest number divisible by both.
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What is the LCM of $5$ and $12$?
What is the LCM of $5$ and $12$?
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$60$. Multiples of $5$: $5,10,15,...,60$; of $12$: $12,24,36,48,60$.
$60$. Multiples of $5$: $5,10,15,...,60$; of $12$: $12,24,36,48,60$.
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What is the distributive property used for factoring: $ab+ac=,?$
What is the distributive property used for factoring: $ab+ac=,?$
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$a(b+c)$. Factor out the common term $a$ from both terms.
$a(b+c)$. Factor out the common term $a$ from both terms.
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What is the GCF of $36$ and $8$, and factor $36+8$ using it?
What is the GCF of $36$ and $8$, and factor $36+8$ using it?
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$4(9+2)$. GCF is $4$; $36+8=44=4(9+2)$.
$4(9+2)$. GCF is $4$; $36+8=44=4(9+2)$.
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