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GCD of 116, 742, 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 116, 742, 979 quickly. Get the easiest ways to solve the greatest common divisor of 116, 742, 979 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 116, 742, 979 with Factoring?

Given Input numbers are 116, 742, 979

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

Divisors of 116 :

The positive integer divisors of 116 that completely divides 116 are.

1, 2, 4, 29, 58, 116

Divisors of 742 :

The positive integer divisors of 742 that completely divides 742 are.

1, 2, 7, 14, 53, 106, 371, 742

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 (116, 742, 979) = 1.

Find GCD of 116, 742, 979 using Prime Factorization

Given numbers are 116, 742, 979

The list of prime factors of all numbers are

Prime factors of 116 are 2 x 2 x 29

Prime factors of 742 are 2 x 7 x 53

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 116, 742, 979 using LCM Formula

Given numbers are 116, 742, 979

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

Apply this formula for all numbers.

Step1:

LCM(116, 742) = 43036

GCD(116, 742) = ( 116 x 742 ) / 43036

= 116 / 742

= 116


Step2:

LCM(2, 979) = 1958

GCD(2, 979) = ( 2 x 979 ) / 1958

= 2 / 979

= 2


So, Greatest Common Divisor of 116, 742, 979 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 116, 742, 979

Given numbers are 116, 742, 979
The greatest common divisor of numbers 116, 742, 979 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 116, 742, 979 is 1.

FAQs on GCD of 116, 742, 979 Calculator

1. What is the GCD of 116, 742, 979?

GCD of given numbers 116, 742, 979 is 1


2. How to calculate the greatest common divisor of 116, 742, 979?

We can find the highest common divisor of 116, 742, 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 116, 742, 979 i.e 1.


3. How can I use the GCD of 116, 742, 979Calculator?

Out the numbers 116, 742, 979 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.