GCD of 312, 687, 315, 574 Calculator

Given Input numbers are 312, 687, 315, 574

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

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

Divisors of 687 :

The positive integer divisors of 687 that completely divides 687 are.

1, 3, 229, 687

Divisors of 315 :

The positive integer divisors of 315 that completely divides 315 are.

1, 3, 5, 7, 9, 15, 21, 35, 45, 63, 105, 315

Divisors of 574 :

The positive integer divisors of 574 that completely divides 574 are.

1, 2, 7, 14, 41, 82, 287, 574

GCD of numbers is the greatest common divisor

So, the GCD (312, 687, 315, 574) = 1.

Given numbers are 312, 687, 315, 574

The list of prime factors of all numbers are

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

Prime factors of 687 are 3 x 229

Prime factors of 315 are 3 x 3 x 5 x 7

Prime factors of 574 are 2 x 7 x 41

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

Given numbers are 312, 687, 315, 574

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

Apply this formula for all numbers.

Step1:

LCM(312, 687) = 71448

GCD(312, 687) = ( 312 x 687 ) / 71448

= 312 / 687

= 312

Step2:

LCM(3, 315) = 315

GCD(3, 315) = ( 3 x 315 ) / 315

= 3 / 315

= 3

Step3:

LCM(3, 574) = 1722

GCD(3, 574) = ( 3 x 574 ) / 1722

= 3 / 574

= 3

So, Greatest Common Divisor of 312, 687, 315, 574 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 877, 747, 272, 702
• GCD of 334, 422, 375, 692
• GCD of 598, 849, 805, 779
• GCD of 525, 245, 317, 243
• GCD of 835, 201, 943, 109

Given numbers are 312, 687, 315, 574
The greatest common divisor of numbers 312, 687, 315, 574 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 312, 687, 315, 574 is 1.

1. What is the GCD of 312, 687, 315, 574?

GCD of given numbers 312, 687, 315, 574 is 1

2. How to calculate the greatest common divisor of 312, 687, 315, 574?

We can find the highest common divisor of 312, 687, 315, 574 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 312, 687, 315, 574 i.e 1.

3. How can I use the GCD of 312, 687, 315, 574Calculator?

Out the numbers 312, 687, 315, 574 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.