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GCD of 131, 775, 914, 979 Calculator

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


Online GCD Calculator is useful to find the GCD of 131, 775, 914, 979 quickly. Get the easiest ways to solve the greatest common divisor of 131, 775, 914, 979 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 131, 775, 914, 979 with Factoring?

Given Input numbers are 131, 775, 914, 979

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

Divisors of 131 :

The positive integer divisors of 131 that completely divides 131 are.

1, 131

Divisors of 775 :

The positive integer divisors of 775 that completely divides 775 are.

1, 5, 25, 31, 155, 775

Divisors of 914 :

The positive integer divisors of 914 that completely divides 914 are.

1, 2, 457, 914

Divisors of 979 :

The positive integer divisors of 979 that completely divides 979 are.

1, 11, 89, 979


GCD of numbers is the greatest common divisor

So, the GCD (131, 775, 914, 979) = 1.

Find GCD of 131, 775, 914, 979 using Prime Factorization

Given numbers are 131, 775, 914, 979

The list of prime factors of all numbers are

Prime factors of 131 are 131

Prime factors of 775 are 5 x 5 x 31

Prime factors of 914 are 2 x 457

Prime factors of 979 are 11 x 89

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

Steps to Calculate GCD of 131, 775, 914, 979 using LCM Formula

Given numbers are 131, 775, 914, 979

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

Apply this formula for all numbers.

Step1:

LCM(131, 775) = 101525

GCD(131, 775) = ( 131 x 775 ) / 101525

= 131 / 775

= 131


Step2:

LCM(1, 914) = 914

GCD(1, 914) = ( 1 x 914 ) / 914

= 1 / 914

= 1


Step3:

LCM(1, 979) = 979

GCD(1, 979) = ( 1 x 979 ) / 979

= 1 / 979

= 1


So, Greatest Common Divisor of 131, 775, 914, 979 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 131, 775, 914, 979

Given numbers are 131, 775, 914, 979
The greatest common divisor of numbers 131, 775, 914, 979 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 131, 775, 914, 979 is 1.

FAQs on GCD of 131, 775, 914, 979 Calculator

1. What is the GCD of 131, 775, 914, 979?

GCD of given numbers 131, 775, 914, 979 is 1


2. How to calculate the greatest common divisor of 131, 775, 914, 979?

We can find the highest common divisor of 131, 775, 914, 979 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 131, 775, 914, 979 i.e 1.


3. How can I use the GCD of 131, 775, 914, 979Calculator?

Out the numbers 131, 775, 914, 979 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.