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GCD of 660, 354, 388, 636 Calculator

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


Online GCD Calculator is useful to find the GCD of 660, 354, 388, 636 quickly. Get the easiest ways to solve the greatest common divisor of 660, 354, 388, 636 i.e 2 in different methods as follows.

GCD of

How to Find GCD of Numbers 660, 354, 388, 636 with Factoring?

Given Input numbers are 660, 354, 388, 636

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

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

Divisors of 354 :

The positive integer divisors of 354 that completely divides 354 are.

1, 2, 3, 6, 59, 118, 177, 354

Divisors of 388 :

The positive integer divisors of 388 that completely divides 388 are.

1, 2, 4, 97, 194, 388

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


GCD of numbers is the greatest common divisor

So, the GCD (660, 354, 388, 636) = 2.

Find GCD of 660, 354, 388, 636 using Prime Factorization

Given numbers are 660, 354, 388, 636

The list of prime factors of all numbers are

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

Prime factors of 354 are 2 x 3 x 59

Prime factors of 388 are 2 x 2 x 97

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

The highest common occurrence is 21

Therefore, GCD of 660, 354, 388, 636 is 2.

Steps to Calculate GCD of 660, 354, 388, 636 using LCM Formula

Given numbers are 660, 354, 388, 636

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

Apply this formula for all numbers.

Step1:

LCM(660, 354) = 38940

GCD(660, 354) = ( 660 x 354 ) / 38940

= 660 / 354

= 660


Step2:

LCM(6, 388) = 1164

GCD(6, 388) = ( 6 x 388 ) / 1164

= 6 / 388

= 6


Step3:

LCM(2, 636) = 636

GCD(2, 636) = ( 2 x 636 ) / 636

= 2 / 636

= 2


So, Greatest Common Divisor of 660, 354, 388, 636 is 2

GCD of Numbers Calculation Examples

Greatest Common Divisor of 660, 354, 388, 636

Given numbers are 660, 354, 388, 636
The greatest common divisor of numbers 660, 354, 388, 636 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 660, 354, 388, 636 is 2.

FAQs on GCD of 660, 354, 388, 636 Calculator

1. What is the GCD of 660, 354, 388, 636?

GCD of given numbers 660, 354, 388, 636 is 2


2. How to calculate the greatest common divisor of 660, 354, 388, 636?

We can find the highest common divisor of 660, 354, 388, 636 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 660, 354, 388, 636 i.e 2.


3. How can I use the GCD of 660, 354, 388, 636Calculator?

Out the numbers 660, 354, 388, 636 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.