GCD of 516, 756, 725, 108 Calculator

Given Input numbers are 516, 756, 725, 108

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

Divisors of 516 :

The positive integer divisors of 516 that completely divides 516 are.

1, 2, 3, 4, 6, 12, 43, 86, 129, 172, 258, 516

Divisors of 756 :

The positive integer divisors of 756 that completely divides 756 are.

1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 27, 28, 36, 42, 54, 63, 84, 108, 126, 189, 252, 378, 756

Divisors of 725 :

The positive integer divisors of 725 that completely divides 725 are.

1, 5, 25, 29, 145, 725

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

GCD of numbers is the greatest common divisor

So, the GCD (516, 756, 725, 108) = 1.

Given numbers are 516, 756, 725, 108

The list of prime factors of all numbers are

Prime factors of 516 are 2 x 2 x 3 x 43

Prime factors of 756 are 2 x 2 x 3 x 3 x 3 x 7

Prime factors of 725 are 5 x 5 x 29

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

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

Given numbers are 516, 756, 725, 108

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

Apply this formula for all numbers.

Step1:

LCM(516, 756) = 32508

GCD(516, 756) = ( 516 x 756 ) / 32508

= 516 / 756

= 516

Step2:

LCM(12, 725) = 8700

GCD(12, 725) = ( 12 x 725 ) / 8700

= 12 / 725

= 12

Step3:

LCM(1, 108) = 108

GCD(1, 108) = ( 1 x 108 ) / 108

= 1 / 108

= 1

So, Greatest Common Divisor of 516, 756, 725, 108 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 502, 851, 394, 954
• GCD of 170, 924, 624, 292
• GCD of 387, 176, 967, 385
• GCD of 568, 800, 278, 655
• GCD of 628, 884, 625, 735

Given numbers are 516, 756, 725, 108
The greatest common divisor of numbers 516, 756, 725, 108 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 516, 756, 725, 108 is 1.

1. What is the GCD of 516, 756, 725, 108?

GCD of given numbers 516, 756, 725, 108 is 1

2. How to calculate the greatest common divisor of 516, 756, 725, 108?

We can find the highest common divisor of 516, 756, 725, 108 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 516, 756, 725, 108 i.e 1.

3. How can I use the GCD of 516, 756, 725, 108Calculator?

Out the numbers 516, 756, 725, 108 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.