GCD of 107, 502, 564, 912 Calculator

Given Input numbers are 107, 502, 564, 912

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

Divisors of 107 :

The positive integer divisors of 107 that completely divides 107 are.

1, 107

Divisors of 502 :

The positive integer divisors of 502 that completely divides 502 are.

1, 2, 251, 502

Divisors of 564 :

The positive integer divisors of 564 that completely divides 564 are.

1, 2, 3, 4, 6, 12, 47, 94, 141, 188, 282, 564

Divisors of 912 :

The positive integer divisors of 912 that completely divides 912 are.

1, 2, 3, 4, 6, 8, 12, 16, 19, 24, 38, 48, 57, 76, 114, 152, 228, 304, 456, 912

GCD of numbers is the greatest common divisor

So, the GCD (107, 502, 564, 912) = 1.

Given numbers are 107, 502, 564, 912

The list of prime factors of all numbers are

Prime factors of 107 are 107

Prime factors of 502 are 2 x 251

Prime factors of 564 are 2 x 2 x 3 x 47

Prime factors of 912 are 2 x 2 x 2 x 2 x 3 x 19

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

Given numbers are 107, 502, 564, 912

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

Apply this formula for all numbers.

Step1:

LCM(107, 502) = 53714

GCD(107, 502) = ( 107 x 502 ) / 53714

= 107 / 502

= 107

Step2:

LCM(1, 564) = 564

GCD(1, 564) = ( 1 x 564 ) / 564

= 1 / 564

= 1

Step3:

LCM(1, 912) = 912

GCD(1, 912) = ( 1 x 912 ) / 912

= 1 / 912

= 1

So, Greatest Common Divisor of 107, 502, 564, 912 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 351, 352, 966, 585
• GCD of 334, 176, 711, 919
• GCD of 812, 565, 680, 990
• GCD of 589, 839, 301, 889
• GCD of 700, 902, 634, 473

Given numbers are 107, 502, 564, 912
The greatest common divisor of numbers 107, 502, 564, 912 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 107, 502, 564, 912 is 1.

1. What is the GCD of 107, 502, 564, 912?

GCD of given numbers 107, 502, 564, 912 is 1

2. How to calculate the greatest common divisor of 107, 502, 564, 912?

We can find the highest common divisor of 107, 502, 564, 912 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 107, 502, 564, 912 i.e 1.

3. How can I use the GCD of 107, 502, 564, 912Calculator?

Out the numbers 107, 502, 564, 912 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.