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Finding the GCD Test
About Finding the Greatest Common Divisor (GCD):

The greatest common divisor, also known as the greatest common factor is the largest number that is a factor or divisor for a group of numbers. For example, the greatest common divisor for 6, 24, and 51 is 3. This is the largest number that is a factor of all three numbers.

Test Objectives:

•Demonstrate the ability to find the prime factorization of a whole number

•Demonstrate the ability to find the GCD for two numbers

•Demonstrate the ability to find the GCD for more than two numbers

Finding the Greatest Common Divisor Test:

#1:

Instructions: Find the Greatest Common Divisor (GCD) for each group of numbers.

a) GCD(26,65)

b) GCD(100,75)

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#2:

Instructions: Find the Greatest Common Divisor (GCD) for each group of numbers.

a) GCD(87,406)

b) GCD(1085,117)

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#3:

Instructions: Find the Greatest Common Divisor (GCD) for each group of numbers.

a) GCD(805,322,4025)

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#4:

Instructions: Find the Greatest Common Divisor (GCD) for each group of numbers.

a) GCD(1620,300,1500,3900)

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#5:

Instructions: Find the Greatest Common Divisor (GCD) for each group of numbers.

a) GCD(2400,3150,6300)

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Written Solutions:

#1:

Solution:

a) GCD(26,65) = 13

b) GCD(100,75) = 25

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#2:

Solution:

a) GCD(87,406) = 29

b) GCD(1085,117) = 1

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#3:

Solution:

a) GCD(805,322,4025) = 161

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#4:

Solution:

a) GCD(1620,300,1500,3900) = 60

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#5:

Solution:

a) GCD(2400,3150,6300) = 150

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