GCD of 108, 370, 686, 572 Calculator

Given Input numbers are 108, 370, 686, 572

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 370 :

The positive integer divisors of 370 that completely divides 370 are.

1, 2, 5, 10, 37, 74, 185, 370

Divisors of 686 :

The positive integer divisors of 686 that completely divides 686 are.

1, 2, 7, 14, 49, 98, 343, 686

Divisors of 572 :

The positive integer divisors of 572 that completely divides 572 are.

1, 2, 4, 11, 13, 22, 26, 44, 52, 143, 286, 572

GCD of numbers is the greatest common divisor

So, the GCD (108, 370, 686, 572) = 2.

Given numbers are 108, 370, 686, 572

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 370 are 2 x 5 x 37

Prime factors of 686 are 2 x 7 x 7 x 7

Prime factors of 572 are 2 x 2 x 11 x 13

The highest common occurrence is 2¹

Therefore, GCD of 108, 370, 686, 572 is 2.

Given numbers are 108, 370, 686, 572

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

Apply this formula for all numbers.

Step1:

LCM(108, 370) = 19980

GCD(108, 370) = ( 108 x 370 ) / 19980

= 108 / 370

= 108

Step2:

LCM(2, 686) = 686

GCD(2, 686) = ( 2 x 686 ) / 686

= 2 / 686

= 2

Step3:

LCM(2, 572) = 572

GCD(2, 572) = ( 2 x 572 ) / 572

= 2 / 572

= 2

So, Greatest Common Divisor of 108, 370, 686, 572 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 960, 405, 351, 937
• GCD of 114, 996, 887, 301
• GCD of 191, 251, 361, 697
• GCD of 826, 163, 604, 448
• GCD of 796, 787, 832, 561

Given numbers are 108, 370, 686, 572
The greatest common divisor of numbers 108, 370, 686, 572 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 108, 370, 686, 572 is 2.

1. What is the GCD of 108, 370, 686, 572?

GCD of given numbers 108, 370, 686, 572 is 2

2. How to calculate the greatest common divisor of 108, 370, 686, 572?

We can find the highest common divisor of 108, 370, 686, 572 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, 370, 686, 572 i.e 2.

3. How can I use the GCD of 108, 370, 686, 572Calculator?

Out the numbers 108, 370, 686, 572 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.