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GCD of 908, 362, 442 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, 362, 442 quickly. Get the easiest ways to solve the greatest common divisor of 908, 362, 442 i.e 2 in different methods as follows.

GCD of

How to Find GCD of Numbers 908, 362, 442 with Factoring?

Given Input numbers are 908, 362, 442

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 362 :

The positive integer divisors of 362 that completely divides 362 are.

1, 2, 181, 362

Divisors of 442 :

The positive integer divisors of 442 that completely divides 442 are.

1, 2, 13, 17, 26, 34, 221, 442


GCD of numbers is the greatest common divisor

So, the GCD (908, 362, 442) = 2.

Find GCD of 908, 362, 442 using Prime Factorization

Given numbers are 908, 362, 442

The list of prime factors of all numbers are

Prime factors of 908 are 2 x 2 x 227

Prime factors of 362 are 2 x 181

Prime factors of 442 are 2 x 13 x 17

The highest common occurrence is 21

Therefore, GCD of 908, 362, 442 is 2.

Steps to Calculate GCD of 908, 362, 442 using LCM Formula

Given numbers are 908, 362, 442

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

Apply this formula for all numbers.

Step1:

LCM(908, 362) = 164348

GCD(908, 362) = ( 908 x 362 ) / 164348

= 908 / 362

= 908


Step2:

LCM(2, 442) = 442

GCD(2, 442) = ( 2 x 442 ) / 442

= 2 / 442

= 2


So, Greatest Common Divisor of 908, 362, 442 is 2

GCD of Numbers Calculation Examples

Greatest Common Divisor of 908, 362, 442

Given numbers are 908, 362, 442
The greatest common divisor of numbers 908, 362, 442 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 908, 362, 442 is 2.

FAQs on GCD of 908, 362, 442 Calculator

1. What is the GCD of 908, 362, 442?

GCD of given numbers 908, 362, 442 is 2


2. How to calculate the greatest common divisor of 908, 362, 442?

We can find the highest common divisor of 908, 362, 442 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, 362, 442 i.e 2.


3. How can I use the GCD of 908, 362, 442Calculator?

Out the numbers 908, 362, 442 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.