GCD of 627, 864, 109, 312 Calculator

Given Input numbers are 627, 864, 109, 312

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

Divisors of 627 :

The positive integer divisors of 627 that completely divides 627 are.

1, 3, 11, 19, 33, 57, 209, 627

Divisors of 864 :

The positive integer divisors of 864 that completely divides 864 are.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 32, 36, 48, 54, 72, 96, 108, 144, 216, 288, 432, 864

Divisors of 109 :

The positive integer divisors of 109 that completely divides 109 are.

1, 109

Divisors of 312 :

The positive integer divisors of 312 that completely divides 312 are.

1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312

GCD of numbers is the greatest common divisor

So, the GCD (627, 864, 109, 312) = 1.

Given numbers are 627, 864, 109, 312

The list of prime factors of all numbers are

Prime factors of 627 are 3 x 11 x 19

Prime factors of 864 are 2 x 2 x 2 x 2 x 2 x 3 x 3 x 3

Prime factors of 109 are 109

Prime factors of 312 are 2 x 2 x 2 x 3 x 13

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

Given numbers are 627, 864, 109, 312

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

Apply this formula for all numbers.

Step1:

LCM(627, 864) = 180576

GCD(627, 864) = ( 627 x 864 ) / 180576

= 627 / 864

= 627

Step2:

LCM(3, 109) = 327

GCD(3, 109) = ( 3 x 109 ) / 327

= 3 / 109

= 3

Step3:

LCM(1, 312) = 312

GCD(1, 312) = ( 1 x 312 ) / 312

= 1 / 312

= 1

So, Greatest Common Divisor of 627, 864, 109, 312 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 468, 623, 375, 183
• GCD of 107, 940, 195, 906
• GCD of 221, 334, 119, 497
• GCD of 785, 959, 962, 204
• GCD of 322, 857, 975, 140

Given numbers are 627, 864, 109, 312
The greatest common divisor of numbers 627, 864, 109, 312 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 627, 864, 109, 312 is 1.

1. What is the GCD of 627, 864, 109, 312?

GCD of given numbers 627, 864, 109, 312 is 1

2. How to calculate the greatest common divisor of 627, 864, 109, 312?

We can find the highest common divisor of 627, 864, 109, 312 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 627, 864, 109, 312 i.e 1.

3. How can I use the GCD of 627, 864, 109, 312Calculator?

Out the numbers 627, 864, 109, 312 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.