If n is a positive integer and the greatest common divisor of n and 16 is 4, and the greatest common...
If n is a positive integer and the greatest common divisor of n and 16 is 4, and the greatest common divisor of n and 15 is 3, which of the following is the greatest common divisor of n and 204?
Answer/Solution
102
Steps/Work
The greatest common divisor of n and 16 is 4 --> n is a multiple of 4 but not a multiple of 8.
The greatest common divisor of n and 15 is 3 --> n is a multiple of 3 but not a multiple of 5.
204=2*3*17*2 is divisible by 102. therefore the greatest common divisor is 102.
E
The greatest common divisor of n and 15 is 3 --> n is a multiple of 3 but not a multiple of 5.
204=2*3*17*2 is divisible by 102. therefore the greatest common divisor is 102.
E