How To Find Gcf Using Distributive Property

Use the distributive holding to express a sum of two whole numbers 1–100 with a common factor as a multiple of a sum of two whole numbers with no mutual cistron.

For example, express 36 + 8 as 4 (ix + two).

Common Core: 6.NS.4

Suggested Learning Targets

I can find the greatest common factor and least common multiple.
I can use the distributive property for whole numbers with no common cistron.
I tin apply the Distributive Holding to rewrite addition issues by factoring out the Greatest Common Cistron.

Component Skills from Previous Grades

3.OA.5
Utilise backdrop of operations as strategies to multiply and divide. For example, write
8 × 7 every bit eight × (five + 2) = (8 × five) + (8 × 2) = twoscore + sixteen = 56. (Distributive property.)

GCF & LCM
Find the greatest mutual factor of two whole numbers less than or equal to 100 and the least mutual multiple of two whole numbers less than or equal to 12.

The post-obit diagram shows how to use the GCF and Distributive Property to find the sum of two numbers. Coil down the page for more than examples and solutions on GCF and distributive property.

GCF Distributive

Greatest Common Factor (GCF)

How to find GCF

GCF and Distributive Belongings

6NS4 - Distributive Belongings

Example:
3(2 + 6)

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6NS4 - Multiple of a Sum

How to write a sum of two whole numbers equally a multiple of a sum of two whole numbers?

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GCF and Distributive Property

Case:
Use the GCF and the distributive belongings to express a sum equally a production.
xx + 35

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Example:
Use the GCF and the Distributive Property to express the sum equally a product
xviii + 27

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GCF and the Distributive Property

Step ane: Find the GCF of the ii numbers
Footstep 2: Re-write using the distributive property.

Case:
Use the GCF and the Distributive Property to limited the sum.
36 + viii
27 + 18
25 + sixty

Instance:
Apply the distributive property to the algebraic expression.
24x + 18y
10x + 15
16x + 32y

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GCF And Distributive Property Word Problems

Learn how to apply solve bug using the GCF and Distributive Holding

Example:
Bryan is setting chairs for a graduation ceremony. He has 50 blackness chairs and 60 white chairs. Each row volition have the same number of chairs and and each row will have the same color chair.
What is the greatest number of chairs that he tin can fit in each row?
How many rows of each color chair will there be?

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Apply the GCF and Distributive Property to solve word problems

Instance:
A shop clerk is bagging spices. He has 18 teaspoons of cinnamon and xxx teaspoons of nutmeg. Each bag need to contain the aforementioned number of teaspoons and each purse can contain only one spice.
How many teaspoons of spice should the clerk put in each purse?
How many numberless of each spice would there exist?

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GCF and Distributive Property Problem Solving

Learn how to use the GCF in problem solving. Distinguish how to use the distributive holding in problem solving.

Example:
Madison has 56 roses and 42 daisies to employ in floral centerpieces for a party. Each centerpiece will have the aforementioned number of flowers and will contain merely roses or only daisies.
What is the greatest number of flowers that Madison tin utilize in each centerpiece?

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