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GCD of 636, 908, 580, 660 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, 908, 580, 660 quickly. Get the easiest ways to solve the greatest common divisor of 636, 908, 580, 660 i.e 4 in different methods as follows.

GCD of

How to Find GCD of Numbers 636, 908, 580, 660 with Factoring?

Given Input numbers are 636, 908, 580, 660

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 908 :

The positive integer divisors of 908 that completely divides 908 are.

1, 2, 4, 227, 454, 908

Divisors of 580 :

The positive integer divisors of 580 that completely divides 580 are.

1, 2, 4, 5, 10, 20, 29, 58, 116, 145, 290, 580

Divisors of 660 :

The positive integer divisors of 660 that completely divides 660 are.

1, 2, 3, 4, 5, 6, 10, 11, 12, 15, 20, 22, 30, 33, 44, 55, 60, 66, 110, 132, 165, 220, 330, 660


GCD of numbers is the greatest common divisor

So, the GCD (636, 908, 580, 660) = 4.

Find GCD of 636, 908, 580, 660 using Prime Factorization

Given numbers are 636, 908, 580, 660

The list of prime factors of all numbers are

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

Prime factors of 908 are 2 x 2 x 227

Prime factors of 580 are 2 x 2 x 5 x 29

Prime factors of 660 are 2 x 2 x 3 x 5 x 11

The highest common occurrence is 22

Therefore, GCD of 636, 908, 580, 660 is 4.

Steps to Calculate GCD of 636, 908, 580, 660 using LCM Formula

Given numbers are 636, 908, 580, 660

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

Apply this formula for all numbers.

Step1:

LCM(636, 908) = 144372

GCD(636, 908) = ( 636 x 908 ) / 144372

= 636 / 908

= 636


Step2:

LCM(4, 580) = 580

GCD(4, 580) = ( 4 x 580 ) / 580

= 4 / 580

= 4


Step3:

LCM(4, 660) = 660

GCD(4, 660) = ( 4 x 660 ) / 660

= 4 / 660

= 4


So, Greatest Common Divisor of 636, 908, 580, 660 is 4

GCD of Numbers Calculation Examples

Greatest Common Divisor of 636, 908, 580, 660

Given numbers are 636, 908, 580, 660
The greatest common divisor of numbers 636, 908, 580, 660 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 636, 908, 580, 660 is 4.

FAQs on GCD of 636, 908, 580, 660 Calculator

1. What is the GCD of 636, 908, 580, 660?

GCD of given numbers 636, 908, 580, 660 is 4


2. How to calculate the greatest common divisor of 636, 908, 580, 660?

We can find the highest common divisor of 636, 908, 580, 660 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, 908, 580, 660 i.e 4.


3. How can I use the GCD of 636, 908, 580, 660Calculator?

Out the numbers 636, 908, 580, 660 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.