In these lessons, class 6 students find out to discover the greatest usual factor of two whole numbersless than or same to 100 and also the least usual multiple of two entirety numbers less than or same to 12.

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Related PagesGreatest usual FactorNumber PropertiesCommon core for class 6Grade 6 Math

Use the distributive residential property to to express a amount of two totality numbers 1–100 through a usual factor together a many of a amount of two whole numbers through no common factor.

For example, express 36 + 8 as 4 (9 + 2).

### Common Core: 6.NS.4

Suggested finding out Targets

I can uncover the greatest usual factor and least usual multiple.I deserve to use the distributive residential property for totality numbers through no common factor.I can use the Distributive home to rewrite addition problems through factoring out theGreatest common Factor.

 3.OA.5Apply nature of work as methods to multiply and also divide. For example, write8 × 7 together 8 × (5 + 2) = (8 × 5) + (8 × 2) = 40 + 16 = 56. (Distributive property.) GCF & LCMFind the greatest typical factor of two totality numbers less than or same to 100 and also the least common multiple the two entirety numbers less than or same to 12.

The adhering to diagram shows just how to usage the GCF and Distributive residential property to discover the amount of 2 numbers.Scroll under the web page for much more examples and also solutions top top GCF and distributive property.

Greatest typical Factor (GCF)

How to uncover GCF

GCF and also Distributive Property

6NS4 - Distributive Property

Example:3(2 + 6)

6NS4 - multiple of a Sum

How to create a amount of two totality numbers as a lot of of a amount of two entirety numbers?

GCF and also Distributive Property

Example:Use the GCF and also the distributive residential property to refer a amount as a product.20 + 35

Example:Use the GCF and the Distributive home to to express the sum as a product18 + 27

GCF and also the Distributive Property

Step 1: find the GCF of the 2 numbersStep 2: Re-write making use of the distributive property.

See more: 4 Ounces Of Chocolate Is How Many Cups Is 4 Oz Of Chocolate Chips?

Example:Use the GCF and the Distributive residential or commercial property to refer the sum.36 + 827 + 1825 + 60

Example:Apply the distributive home to the algebraic expression.24x + 18y10x + 1516x + 32y

GCF and also Distributive residential or commercial property Word Problems

Learn just how to use solve troubles using the GCF and Distributive Property

Example:Bryan is setup chairs for a graduation ceremony. He has 50 black color chairs and also 60 white chairs.Each row will have the same variety of chairs and and each heat will have the same color chair.What is the greatest variety of chairs the he can fit in each row? How many rows of each color chair will there be?

Use the GCF and Distributive property to settle word problems

Example:A keep clerk is bagging spices. He has actually 18 teaspoons of cinnamon and also 30 teaspoons that nutmeg.Each bag need to contain the same number of teaspoons and each bag have the right to contain only one spice.How plenty of teaspoons the spice should the clerk placed in every bag? How plenty of bags of every spice would certainly there be?

GCF and Distributive Property difficulty Solving

Learn how to use the GCF in difficulty solving. Distinguish how to usage the distributive propertyin difficulty solving.

Example:Madison has 56 roses and 42 daisies to usage in floral centerpieces for a party. Every centerpiecewill have the same variety of flowers and will contain just roses or only daisies.What is the greatest number of flowers that Madison have the right to use in every centerpiece?

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