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GCD of 908, 118, 642 Calculator

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


Online GCD Calculator is useful to find the GCD of 908, 118, 642 quickly. Get the easiest ways to solve the greatest common divisor of 908, 118, 642 i.e 2 in different methods as follows.

GCD of

How to Find GCD of Numbers 908, 118, 642 with Factoring?

Given Input numbers are 908, 118, 642

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

Divisors of 908 :

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

1, 2, 4, 227, 454, 908

Divisors of 118 :

The positive integer divisors of 118 that completely divides 118 are.

1, 2, 59, 118

Divisors of 642 :

The positive integer divisors of 642 that completely divides 642 are.

1, 2, 3, 6, 107, 214, 321, 642


GCD of numbers is the greatest common divisor

So, the GCD (908, 118, 642) = 2.

Find GCD of 908, 118, 642 using Prime Factorization

Given numbers are 908, 118, 642

The list of prime factors of all numbers are

Prime factors of 908 are 2 x 2 x 227

Prime factors of 118 are 2 x 59

Prime factors of 642 are 2 x 3 x 107

The highest common occurrence is 21

Therefore, GCD of 908, 118, 642 is 2.

Steps to Calculate GCD of 908, 118, 642 using LCM Formula

Given numbers are 908, 118, 642

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

Apply this formula for all numbers.

Step1:

LCM(908, 118) = 53572

GCD(908, 118) = ( 908 x 118 ) / 53572

= 908 / 118

= 908


Step2:

LCM(2, 642) = 642

GCD(2, 642) = ( 2 x 642 ) / 642

= 2 / 642

= 2


So, Greatest Common Divisor of 908, 118, 642 is 2

GCD of Numbers Calculation Examples

Greatest Common Divisor of 908, 118, 642

Given numbers are 908, 118, 642
The greatest common divisor of numbers 908, 118, 642 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 908, 118, 642 is 2.

FAQs on GCD of 908, 118, 642 Calculator

1. What is the GCD of 908, 118, 642?

GCD of given numbers 908, 118, 642 is 2


2. How to calculate the greatest common divisor of 908, 118, 642?

We can find the highest common divisor of 908, 118, 642 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 908, 118, 642 i.e 2.


3. How can I use the GCD of 908, 118, 642Calculator?

Out the numbers 908, 118, 642 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.