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GCD of 378, 360, 122, 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 378, 360, 122, 979 quickly. Get the easiest ways to solve the greatest common divisor of 378, 360, 122, 979 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 378, 360, 122, 979 with Factoring?

Given Input numbers are 378, 360, 122, 979

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

Divisors of 378 :

The positive integer divisors of 378 that completely divides 378 are.

1, 2, 3, 6, 7, 9, 14, 18, 21, 27, 42, 54, 63, 126, 189, 378

Divisors of 360 :

The positive integer divisors of 360 that completely divides 360 are.

1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 90, 120, 180, 360

Divisors of 122 :

The positive integer divisors of 122 that completely divides 122 are.

1, 2, 61, 122

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 (378, 360, 122, 979) = 1.

Find GCD of 378, 360, 122, 979 using Prime Factorization

Given numbers are 378, 360, 122, 979

The list of prime factors of all numbers are

Prime factors of 378 are 2 x 3 x 3 x 3 x 7

Prime factors of 360 are 2 x 2 x 2 x 3 x 3 x 5

Prime factors of 122 are 2 x 61

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 378, 360, 122, 979 using LCM Formula

Given numbers are 378, 360, 122, 979

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

Apply this formula for all numbers.

Step1:

LCM(378, 360) = 7560

GCD(378, 360) = ( 378 x 360 ) / 7560

= 378 / 360

= 378


Step2:

LCM(18, 122) = 1098

GCD(18, 122) = ( 18 x 122 ) / 1098

= 18 / 122

= 18


Step3:

LCM(2, 979) = 1958

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

= 2 / 979

= 2


So, Greatest Common Divisor of 378, 360, 122, 979 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 378, 360, 122, 979

Given numbers are 378, 360, 122, 979
The greatest common divisor of numbers 378, 360, 122, 979 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 378, 360, 122, 979 is 1.

FAQs on GCD of 378, 360, 122, 979 Calculator

1. What is the GCD of 378, 360, 122, 979?

GCD of given numbers 378, 360, 122, 979 is 1


2. How to calculate the greatest common divisor of 378, 360, 122, 979?

We can find the highest common divisor of 378, 360, 122, 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 378, 360, 122, 979 i.e 1.


3. How can I use the GCD of 378, 360, 122, 979Calculator?

Out the numbers 378, 360, 122, 979 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.