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GCD of 636, 189, 255, 957 Calculator

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


Online GCD Calculator is useful to find the GCD of 636, 189, 255, 957 quickly. Get the easiest ways to solve the greatest common divisor of 636, 189, 255, 957 i.e 3 in different methods as follows.

GCD of

How to Find GCD of Numbers 636, 189, 255, 957 with Factoring?

Given Input numbers are 636, 189, 255, 957

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

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 189 :

The positive integer divisors of 189 that completely divides 189 are.

1, 3, 7, 9, 21, 27, 63, 189

Divisors of 255 :

The positive integer divisors of 255 that completely divides 255 are.

1, 3, 5, 15, 17, 51, 85, 255

Divisors of 957 :

The positive integer divisors of 957 that completely divides 957 are.

1, 3, 11, 29, 33, 87, 319, 957


GCD of numbers is the greatest common divisor

So, the GCD (636, 189, 255, 957) = 3.

Find GCD of 636, 189, 255, 957 using Prime Factorization

Given numbers are 636, 189, 255, 957

The list of prime factors of all numbers are

Prime factors of 636 are 2 x 2 x 3 x 53

Prime factors of 189 are 3 x 3 x 3 x 7

Prime factors of 255 are 3 x 5 x 17

Prime factors of 957 are 3 x 11 x 29

The highest common occurrence is 31

Therefore, GCD of 636, 189, 255, 957 is 3.

Steps to Calculate GCD of 636, 189, 255, 957 using LCM Formula

Given numbers are 636, 189, 255, 957

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

Apply this formula for all numbers.

Step1:

LCM(636, 189) = 40068

GCD(636, 189) = ( 636 x 189 ) / 40068

= 636 / 189

= 636


Step2:

LCM(3, 255) = 255

GCD(3, 255) = ( 3 x 255 ) / 255

= 3 / 255

= 3


Step3:

LCM(3, 957) = 957

GCD(3, 957) = ( 3 x 957 ) / 957

= 3 / 957

= 3


So, Greatest Common Divisor of 636, 189, 255, 957 is 3

GCD of Numbers Calculation Examples

Greatest Common Divisor of 636, 189, 255, 957

Given numbers are 636, 189, 255, 957
The greatest common divisor of numbers 636, 189, 255, 957 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 636, 189, 255, 957 is 3.

FAQs on GCD of 636, 189, 255, 957 Calculator

1. What is the GCD of 636, 189, 255, 957?

GCD of given numbers 636, 189, 255, 957 is 3


2. How to calculate the greatest common divisor of 636, 189, 255, 957?

We can find the highest common divisor of 636, 189, 255, 957 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 636, 189, 255, 957 i.e 3.


3. How can I use the GCD of 636, 189, 255, 957Calculator?

Out the numbers 636, 189, 255, 957 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.