GCD of 195, 364, 715 Calculator

Given Input numbers are 195, 364, 715

In the factoring method, we have to find the divisors of all numbers

Divisors of 195 :

The positive integer divisors of 195 that completely divides 195 are.

1, 3, 5, 13, 15, 39, 65, 195

Divisors of 364 :

The positive integer divisors of 364 that completely divides 364 are.

1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 182, 364

Divisors of 715 :

The positive integer divisors of 715 that completely divides 715 are.

1, 5, 11, 13, 55, 65, 143, 715

GCD of numbers is the greatest common divisor

So, the GCD (195, 364, 715) = 13.

Given numbers are 195, 364, 715

The list of prime factors of all numbers are

Prime factors of 195 are 3 x 5 x 13

Prime factors of 364 are 2 x 2 x 7 x 13

Prime factors of 715 are 5 x 11 x 13

The highest common occurrence is 13¹

Therefore, GCD of 195, 364, 715 is 13.

Given numbers are 195, 364, 715

GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)

Apply this formula for all numbers.

Step1:

LCM(195, 364) = 5460

GCD(195, 364) = ( 195 x 364 ) / 5460

= 195 / 364

= 195

Step2:

LCM(13, 715) = 715

GCD(13, 715) = ( 13 x 715 ) / 715

= 13 / 715

= 13

So, Greatest Common Divisor of 195, 364, 715 is 13

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Given numbers are 195, 364, 715
The greatest common divisor of numbers 195, 364, 715 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 195, 364, 715 is 13.

1. What is the GCD of 195, 364, 715?

GCD of given numbers 195, 364, 715 is 13

2. How to calculate the greatest common divisor of 195, 364, 715?

We can find the highest common divisor of 195, 364, 715 easily using the prime factorization method. Just list the prime factors of all numbers and pick the highest common factor which is the GCD of 195, 364, 715 i.e 13.

3. How can I use the GCD of 195, 364, 715Calculator?

Out the numbers 195, 364, 715 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.