Common Core: 6th Grade Math : Find Greatest Common Factor

Study concepts, example questions & explanations for Common Core: 6th Grade Math

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Example Questions

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Example Question #1 : Find Greatest Common Factor

Use the distributive property to express the sum  as the multiple of a sum of two whole numbers with no common factor. 

Possible Answers:

None of these

Correct answer:

Explanation:

The distributive property can be used to rewrite an expression. When we use this property we will identify and pull out the greatest common factor of each of the addends. Then we can create a quantity that represents the sum of two whole numbers with no common factor multiplied by their greatest common factor.

 

In this case, the greatest common factor shared by each number is:

 

After we reduce each addend by the greatest common factor we can rewrite the expression:

Example Question #1 : Find Greatest Common Factor

Use the distributive property to express the sum  as the multiple of a sum of two whole numbers with no common factor. 

Possible Answers:

Correct answer:

Explanation:

The distributive property can be used to rewrite an expression. When we use this property we will identify and pull out the greatest common factor of each of the addends. Then we can create a quantity that represents the sum of two whole numbers with no common factor multiplied by their greatest common factor.

 

In this case, the greatest common factor shared by each number is:

 

After we reduce each addend by the greatest common factor we can rewrite the expression:

Example Question #1 : Find Greatest Common Factor

Use the distributive property to express the sum  as the multiple of a sum of two whole numbers with no common factor. 

Possible Answers:

None of these

Correct answer:

Explanation:

The distributive property can be used to rewrite an expression. When we use this property we will identify and pull out the greatest common factor of each of the addends. Then we can create a quantity that represents the sum of two whole numbers with no common factor multiplied by their greatest common factor.

 

In this case, the greatest common factor shared by each number is:

 

After we reduce each addend by the greatest common factor we can rewrite the expression:

Example Question #1 : Find Greatest Common Factor

Use the distributive property to express the sum  as the multiple of a sum of two whole numbers with no common factor. 

Possible Answers:

Correct answer:

Explanation:

The distributive property can be used to rewrite an expression. When we use this property we will identify and pull out the greatest common factor of each of the addends. Then we can create a quantity that represents the sum of two whole numbers with no common factor multiplied by their greatest common factor.

 

In this case, the greatest common factor shared by each number is:

 

After we reduce each addend by the greatest common factor we can rewrite the expression:

Example Question #1 : Find Greatest Common Factor And Least Common Multiple: Ccss.Math.Content.6.Ns.B.4

Use the distributive property to express the sum  as the multiple of a sum of two whole numbers with no common factor.

Possible Answers:

None of these

Correct answer:

Explanation:

The distributive property can be used to rewrite an expression. When we use this property we will identify and pull out the greatest common factor of each of the addends. Then we can create a quantity that represents the sum of two whole numbers with no common factor multiplied by their greatest common factor.

 

In this case, the greatest common factor shared by each number is:

 

After we reduce each addend by the greatest common factor we can rewrite the expression:

Example Question #1 : Find Greatest Common Factor

Use the distributive property to express the sum  as the multiple of a sum of two whole numbers with no common factor.

Possible Answers:

Correct answer:

Explanation:

The distributive property can be used to rewrite an expression. When we use this property we will identify and pull out the greatest common factor of each of the addends. Then we can create a quantity that represents the sum of two whole numbers with no common factor multiplied by their greatest common factor.

 

In this case, the greatest common factor shared by each number is:

 

After we reduce each addend by the greatest common factor we can rewrite the expression:

Example Question #3 : Find Greatest Common Factor

Use the distributive property to express the sum  as the multiple of a sum of two whole numbers with no common factor.

Possible Answers:

None of these

Correct answer:

Explanation:

The distributive property can be used to rewrite an expression. When we use this property we will identify and pull out the greatest common factor of each of the addends. Then we can create a quantity that represents the sum of two whole numbers with no common factor multiplied by their greatest common factor.

 

In this case, the greatest common factor shared by each number is:

 

After we reduce each addend by the greatest common factor we can rewrite the expression:

Example Question #8 : Find Greatest Common Factor

Use the distributive property to express the sum  as the multiple of a sum of two whole numbers with no common factor.

Possible Answers:

Correct answer:

Explanation:

The distributive property can be used to rewrite an expression. When we use this property we will identify and pull out the greatest common factor of each of the addends. Then we can create a quantity that represents the sum of two whole numbers with no common factor multiplied by their greatest common factor.

 

In this case, the greatest common factor shared by each number is:

 

After we reduce each addend by the greatest common factor we can rewrite the expression:

Example Question #9 : Find Greatest Common Factor

Use the distributive property to express the sum  as the multiple of a sum of two whole numbers with no common factor.

Possible Answers:

None of these

Correct answer:

Explanation:

The distributive property can be used to rewrite an expression. When we use this property we will identify and pull out the greatest common factor of each of the addends. Then we can create a quantity that represents the sum of two whole numbers with no common factor multiplied by their greatest common factor.

 

In this case, the greatest common factor shared by each number is:

 

After we reduce each addend by the greatest common factor we can rewrite the expression:

Example Question #1 : Find Greatest Common Factor

Use the distributive property to express the sum  as the multiple of a sum of two whole numbers with no common factor. 

Possible Answers:

Correct answer:

Explanation:

The distributive property can be used to rewrite an expression. When we use this property we will identify and pull out the greatest common factor of each of the addends. Then we can create a quantity that represents the sum of two whole numbers with no common factor multiplied by their greatest common factor.

 

In this case, the greatest common factor shared by each number is:

 

After we reduce each addend by the greatest common factor we can rewrite the expression:

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