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GCD of 369, 412, 961, 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 369, 412, 961, 979 quickly. Get the easiest ways to solve the greatest common divisor of 369, 412, 961, 979 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 369, 412, 961, 979 with Factoring?

Given Input numbers are 369, 412, 961, 979

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

Divisors of 369 :

The positive integer divisors of 369 that completely divides 369 are.

1, 3, 9, 41, 123, 369

Divisors of 412 :

The positive integer divisors of 412 that completely divides 412 are.

1, 2, 4, 103, 206, 412

Divisors of 961 :

The positive integer divisors of 961 that completely divides 961 are.

1, 31, 961

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 (369, 412, 961, 979) = 1.

Find GCD of 369, 412, 961, 979 using Prime Factorization

Given numbers are 369, 412, 961, 979

The list of prime factors of all numbers are

Prime factors of 369 are 3 x 3 x 41

Prime factors of 412 are 2 x 2 x 103

Prime factors of 961 are 31 x 31

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 369, 412, 961, 979 using LCM Formula

Given numbers are 369, 412, 961, 979

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

Apply this formula for all numbers.

Step1:

LCM(369, 412) = 152028

GCD(369, 412) = ( 369 x 412 ) / 152028

= 369 / 412

= 369


Step2:

LCM(1, 961) = 961

GCD(1, 961) = ( 1 x 961 ) / 961

= 1 / 961

= 1


Step3:

LCM(1, 979) = 979

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

= 1 / 979

= 1


So, Greatest Common Divisor of 369, 412, 961, 979 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 369, 412, 961, 979

Given numbers are 369, 412, 961, 979
The greatest common divisor of numbers 369, 412, 961, 979 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 369, 412, 961, 979 is 1.

FAQs on GCD of 369, 412, 961, 979 Calculator

1. What is the GCD of 369, 412, 961, 979?

GCD of given numbers 369, 412, 961, 979 is 1


2. How to calculate the greatest common divisor of 369, 412, 961, 979?

We can find the highest common divisor of 369, 412, 961, 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 369, 412, 961, 979 i.e 1.


3. How can I use the GCD of 369, 412, 961, 979Calculator?

Out the numbers 369, 412, 961, 979 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.