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GCD of 312, 636, 204, 875 Calculator

Created By : Veerendra
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023


Online GCD Calculator is useful to find the GCD of 312, 636, 204, 875 quickly. Get the easiest ways to solve the greatest common divisor of 312, 636, 204, 875 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 312, 636, 204, 875 with Factoring?

Given Input numbers are 312, 636, 204, 875

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 636 :

The positive integer divisors of 636 that completely divides 636 are.

1, 2, 3, 4, 6, 12, 53, 106, 159, 212, 318, 636

Divisors of 204 :

The positive integer divisors of 204 that completely divides 204 are.

1, 2, 3, 4, 6, 12, 17, 34, 51, 68, 102, 204

Divisors of 875 :

The positive integer divisors of 875 that completely divides 875 are.

1, 5, 7, 25, 35, 125, 175, 875


GCD of numbers is the greatest common divisor

So, the GCD (312, 636, 204, 875) = 1.

Find GCD of 312, 636, 204, 875 using Prime Factorization

Given numbers are 312, 636, 204, 875

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 636 are 2 x 2 x 3 x 53

Prime factors of 204 are 2 x 2 x 3 x 17

Prime factors of 875 are 5 x 5 x 5 x 7

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

Steps to Calculate GCD of 312, 636, 204, 875 using LCM Formula

Given numbers are 312, 636, 204, 875

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

Apply this formula for all numbers.

Step1:

LCM(312, 636) = 16536

GCD(312, 636) = ( 312 x 636 ) / 16536

= 312 / 636

= 312


Step2:

LCM(12, 204) = 204

GCD(12, 204) = ( 12 x 204 ) / 204

= 12 / 204

= 12


Step3:

LCM(12, 875) = 10500

GCD(12, 875) = ( 12 x 875 ) / 10500

= 12 / 875

= 12


So, Greatest Common Divisor of 312, 636, 204, 875 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 312, 636, 204, 875

Given numbers are 312, 636, 204, 875
The greatest common divisor of numbers 312, 636, 204, 875 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 312, 636, 204, 875 is 1.

FAQs on GCD of 312, 636, 204, 875 Calculator

1. What is the GCD of 312, 636, 204, 875?

GCD of given numbers 312, 636, 204, 875 is 1


2. How to calculate the greatest common divisor of 312, 636, 204, 875?

We can find the highest common divisor of 312, 636, 204, 875 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, 636, 204, 875 i.e 1.


3. How can I use the GCD of 312, 636, 204, 875Calculator?

Out the numbers 312, 636, 204, 875 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.