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GCD of 272, 418, 332, 908 Calculator

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


Online GCD Calculator is useful to find the GCD of 272, 418, 332, 908 quickly. Get the easiest ways to solve the greatest common divisor of 272, 418, 332, 908 i.e 2 in different methods as follows.

GCD of

How to Find GCD of Numbers 272, 418, 332, 908 with Factoring?

Given Input numbers are 272, 418, 332, 908

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

Divisors of 272 :

The positive integer divisors of 272 that completely divides 272 are.

1, 2, 4, 8, 16, 17, 34, 68, 136, 272

Divisors of 418 :

The positive integer divisors of 418 that completely divides 418 are.

1, 2, 11, 19, 22, 38, 209, 418

Divisors of 332 :

The positive integer divisors of 332 that completely divides 332 are.

1, 2, 4, 83, 166, 332

Divisors of 908 :

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

1, 2, 4, 227, 454, 908


GCD of numbers is the greatest common divisor

So, the GCD (272, 418, 332, 908) = 2.

Find GCD of 272, 418, 332, 908 using Prime Factorization

Given numbers are 272, 418, 332, 908

The list of prime factors of all numbers are

Prime factors of 272 are 2 x 2 x 2 x 2 x 17

Prime factors of 418 are 2 x 11 x 19

Prime factors of 332 are 2 x 2 x 83

Prime factors of 908 are 2 x 2 x 227

The highest common occurrence is 21

Therefore, GCD of 272, 418, 332, 908 is 2.

Steps to Calculate GCD of 272, 418, 332, 908 using LCM Formula

Given numbers are 272, 418, 332, 908

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

Apply this formula for all numbers.

Step1:

LCM(272, 418) = 56848

GCD(272, 418) = ( 272 x 418 ) / 56848

= 272 / 418

= 272


Step2:

LCM(2, 332) = 332

GCD(2, 332) = ( 2 x 332 ) / 332

= 2 / 332

= 2


Step3:

LCM(2, 908) = 908

GCD(2, 908) = ( 2 x 908 ) / 908

= 2 / 908

= 2


So, Greatest Common Divisor of 272, 418, 332, 908 is 2

GCD of Numbers Calculation Examples

Greatest Common Divisor of 272, 418, 332, 908

Given numbers are 272, 418, 332, 908
The greatest common divisor of numbers 272, 418, 332, 908 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 272, 418, 332, 908 is 2.

FAQs on GCD of 272, 418, 332, 908 Calculator

1. What is the GCD of 272, 418, 332, 908?

GCD of given numbers 272, 418, 332, 908 is 2


2. How to calculate the greatest common divisor of 272, 418, 332, 908?

We can find the highest common divisor of 272, 418, 332, 908 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 272, 418, 332, 908 i.e 2.


3. How can I use the GCD of 272, 418, 332, 908Calculator?

Out the numbers 272, 418, 332, 908 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.