GCD of 108, 317, 642, 560 Calculator

Given Input numbers are 108, 317, 642, 560

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

Divisors of 108 :

The positive integer divisors of 108 that completely divides 108 are.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 108

Divisors of 317 :

The positive integer divisors of 317 that completely divides 317 are.

1, 317

Divisors of 642 :

The positive integer divisors of 642 that completely divides 642 are.

1, 2, 3, 6, 107, 214, 321, 642

Divisors of 560 :

The positive integer divisors of 560 that completely divides 560 are.

1, 2, 4, 5, 7, 8, 10, 14, 16, 20, 28, 35, 40, 56, 70, 80, 112, 140, 280, 560

GCD of numbers is the greatest common divisor

So, the GCD (108, 317, 642, 560) = 1.

Given numbers are 108, 317, 642, 560

The list of prime factors of all numbers are

Prime factors of 108 are 2 x 2 x 3 x 3 x 3

Prime factors of 317 are 317

Prime factors of 642 are 2 x 3 x 107

Prime factors of 560 are 2 x 2 x 2 x 2 x 5 x 7

The above numbers do not have any common prime factor. So GCD is 1

Given numbers are 108, 317, 642, 560

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

Apply this formula for all numbers.

Step1:

LCM(108, 317) = 34236

GCD(108, 317) = ( 108 x 317 ) / 34236

= 108 / 317

= 108

Step2:

LCM(1, 642) = 642

GCD(1, 642) = ( 1 x 642 ) / 642

= 1 / 642

= 1

Step3:

LCM(1, 560) = 560

GCD(1, 560) = ( 1 x 560 ) / 560

= 1 / 560

= 1

So, Greatest Common Divisor of 108, 317, 642, 560 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 598, 463, 474, 443
• GCD of 530, 178, 814, 118
• GCD of 335, 763, 174, 428
• GCD of 625, 141, 163, 405
• GCD of 517, 879, 351, 759

Given numbers are 108, 317, 642, 560
The greatest common divisor of numbers 108, 317, 642, 560 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 108, 317, 642, 560 is 1.

1. What is the GCD of 108, 317, 642, 560?

GCD of given numbers 108, 317, 642, 560 is 1

2. How to calculate the greatest common divisor of 108, 317, 642, 560?

We can find the highest common divisor of 108, 317, 642, 560 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 108, 317, 642, 560 i.e 1.

3. How can I use the GCD of 108, 317, 642, 560Calculator?

Out the numbers 108, 317, 642, 560 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.