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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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