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GCD of 636, 462, 664, 378 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, 462, 664, 378 quickly. Get the easiest ways to solve the greatest common divisor of 636, 462, 664, 378 i.e 2 in different methods as follows.

GCD of

How to Find GCD of Numbers 636, 462, 664, 378 with Factoring?

Given Input numbers are 636, 462, 664, 378

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 462 :

The positive integer divisors of 462 that completely divides 462 are.

1, 2, 3, 6, 7, 11, 14, 21, 22, 33, 42, 66, 77, 154, 231, 462

Divisors of 664 :

The positive integer divisors of 664 that completely divides 664 are.

1, 2, 4, 8, 83, 166, 332, 664

Divisors of 378 :

The positive integer divisors of 378 that completely divides 378 are.

1, 2, 3, 6, 7, 9, 14, 18, 21, 27, 42, 54, 63, 126, 189, 378


GCD of numbers is the greatest common divisor

So, the GCD (636, 462, 664, 378) = 2.

Find GCD of 636, 462, 664, 378 using Prime Factorization

Given numbers are 636, 462, 664, 378

The list of prime factors of all numbers are

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

Prime factors of 462 are 2 x 3 x 7 x 11

Prime factors of 664 are 2 x 2 x 2 x 83

Prime factors of 378 are 2 x 3 x 3 x 3 x 7

The highest common occurrence is 21

Therefore, GCD of 636, 462, 664, 378 is 2.

Steps to Calculate GCD of 636, 462, 664, 378 using LCM Formula

Given numbers are 636, 462, 664, 378

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

Apply this formula for all numbers.

Step1:

LCM(636, 462) = 48972

GCD(636, 462) = ( 636 x 462 ) / 48972

= 636 / 462

= 636


Step2:

LCM(6, 664) = 1992

GCD(6, 664) = ( 6 x 664 ) / 1992

= 6 / 664

= 6


Step3:

LCM(2, 378) = 378

GCD(2, 378) = ( 2 x 378 ) / 378

= 2 / 378

= 2


So, Greatest Common Divisor of 636, 462, 664, 378 is 2

GCD of Numbers Calculation Examples

Greatest Common Divisor of 636, 462, 664, 378

Given numbers are 636, 462, 664, 378
The greatest common divisor of numbers 636, 462, 664, 378 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 636, 462, 664, 378 is 2.

FAQs on GCD of 636, 462, 664, 378 Calculator

1. What is the GCD of 636, 462, 664, 378?

GCD of given numbers 636, 462, 664, 378 is 2


2. How to calculate the greatest common divisor of 636, 462, 664, 378?

We can find the highest common divisor of 636, 462, 664, 378 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, 462, 664, 378 i.e 2.


3. How can I use the GCD of 636, 462, 664, 378Calculator?

Out the numbers 636, 462, 664, 378 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.