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GCD of 120, 413, 764, 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 120, 413, 764, 979 quickly. Get the easiest ways to solve the greatest common divisor of 120, 413, 764, 979 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 120, 413, 764, 979 with Factoring?

Given Input numbers are 120, 413, 764, 979

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

Divisors of 120 :

The positive integer divisors of 120 that completely divides 120 are.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120

Divisors of 413 :

The positive integer divisors of 413 that completely divides 413 are.

1, 7, 59, 413

Divisors of 764 :

The positive integer divisors of 764 that completely divides 764 are.

1, 2, 4, 191, 382, 764

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 (120, 413, 764, 979) = 1.

Find GCD of 120, 413, 764, 979 using Prime Factorization

Given numbers are 120, 413, 764, 979

The list of prime factors of all numbers are

Prime factors of 120 are 2 x 2 x 2 x 3 x 5

Prime factors of 413 are 7 x 59

Prime factors of 764 are 2 x 2 x 191

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 120, 413, 764, 979 using LCM Formula

Given numbers are 120, 413, 764, 979

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

Apply this formula for all numbers.

Step1:

LCM(120, 413) = 49560

GCD(120, 413) = ( 120 x 413 ) / 49560

= 120 / 413

= 120


Step2:

LCM(1, 764) = 764

GCD(1, 764) = ( 1 x 764 ) / 764

= 1 / 764

= 1


Step3:

LCM(1, 979) = 979

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

= 1 / 979

= 1


So, Greatest Common Divisor of 120, 413, 764, 979 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 120, 413, 764, 979

Given numbers are 120, 413, 764, 979
The greatest common divisor of numbers 120, 413, 764, 979 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 120, 413, 764, 979 is 1.

FAQs on GCD of 120, 413, 764, 979 Calculator

1. What is the GCD of 120, 413, 764, 979?

GCD of given numbers 120, 413, 764, 979 is 1


2. How to calculate the greatest common divisor of 120, 413, 764, 979?

We can find the highest common divisor of 120, 413, 764, 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 120, 413, 764, 979 i.e 1.


3. How can I use the GCD of 120, 413, 764, 979Calculator?

Out the numbers 120, 413, 764, 979 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.