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GCD of 908, 142, 522, 959 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, 142, 522, 959 quickly. Get the easiest ways to solve the greatest common divisor of 908, 142, 522, 959 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 908, 142, 522, 959 with Factoring?

Given Input numbers are 908, 142, 522, 959

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 142 :

The positive integer divisors of 142 that completely divides 142 are.

1, 2, 71, 142

Divisors of 522 :

The positive integer divisors of 522 that completely divides 522 are.

1, 2, 3, 6, 9, 18, 29, 58, 87, 174, 261, 522

Divisors of 959 :

The positive integer divisors of 959 that completely divides 959 are.

1, 7, 137, 959


GCD of numbers is the greatest common divisor

So, the GCD (908, 142, 522, 959) = 1.

Find GCD of 908, 142, 522, 959 using Prime Factorization

Given numbers are 908, 142, 522, 959

The list of prime factors of all numbers are

Prime factors of 908 are 2 x 2 x 227

Prime factors of 142 are 2 x 71

Prime factors of 522 are 2 x 3 x 3 x 29

Prime factors of 959 are 7 x 137

The above numbers do not have any common prime factor. So GCD is 1

Steps to Calculate GCD of 908, 142, 522, 959 using LCM Formula

Given numbers are 908, 142, 522, 959

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

Apply this formula for all numbers.

Step1:

LCM(908, 142) = 64468

GCD(908, 142) = ( 908 x 142 ) / 64468

= 908 / 142

= 908


Step2:

LCM(2, 522) = 522

GCD(2, 522) = ( 2 x 522 ) / 522

= 2 / 522

= 2


Step3:

LCM(2, 959) = 1918

GCD(2, 959) = ( 2 x 959 ) / 1918

= 2 / 959

= 2


So, Greatest Common Divisor of 908, 142, 522, 959 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 908, 142, 522, 959

Given numbers are 908, 142, 522, 959
The greatest common divisor of numbers 908, 142, 522, 959 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 908, 142, 522, 959 is 1.

FAQs on GCD of 908, 142, 522, 959 Calculator

1. What is the GCD of 908, 142, 522, 959?

GCD of given numbers 908, 142, 522, 959 is 1


2. How to calculate the greatest common divisor of 908, 142, 522, 959?

We can find the highest common divisor of 908, 142, 522, 959 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, 142, 522, 959 i.e 1.


3. How can I use the GCD of 908, 142, 522, 959Calculator?

Out the numbers 908, 142, 522, 959 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.