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GCD of 978, 889, 980, 131 Calculator

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


Online GCD Calculator is useful to find the GCD of 978, 889, 980, 131 quickly. Get the easiest ways to solve the greatest common divisor of 978, 889, 980, 131 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 978, 889, 980, 131 with Factoring?

Given Input numbers are 978, 889, 980, 131

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

Divisors of 978 :

The positive integer divisors of 978 that completely divides 978 are.

1, 2, 3, 6, 163, 326, 489, 978

Divisors of 889 :

The positive integer divisors of 889 that completely divides 889 are.

1, 7, 127, 889

Divisors of 980 :

The positive integer divisors of 980 that completely divides 980 are.

1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 49, 70, 98, 140, 196, 245, 490, 980

Divisors of 131 :

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

1, 131


GCD of numbers is the greatest common divisor

So, the GCD (978, 889, 980, 131) = 1.

Find GCD of 978, 889, 980, 131 using Prime Factorization

Given numbers are 978, 889, 980, 131

The list of prime factors of all numbers are

Prime factors of 978 are 2 x 3 x 163

Prime factors of 889 are 7 x 127

Prime factors of 980 are 2 x 2 x 5 x 7 x 7

Prime factors of 131 are 131

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

Steps to Calculate GCD of 978, 889, 980, 131 using LCM Formula

Given numbers are 978, 889, 980, 131

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

Apply this formula for all numbers.

Step1:

LCM(978, 889) = 869442

GCD(978, 889) = ( 978 x 889 ) / 869442

= 978 / 889

= 978


Step2:

LCM(1, 980) = 980

GCD(1, 980) = ( 1 x 980 ) / 980

= 1 / 980

= 1


Step3:

LCM(1, 131) = 131

GCD(1, 131) = ( 1 x 131 ) / 131

= 1 / 131

= 1


So, Greatest Common Divisor of 978, 889, 980, 131 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 978, 889, 980, 131

Given numbers are 978, 889, 980, 131
The greatest common divisor of numbers 978, 889, 980, 131 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 978, 889, 980, 131 is 1.

FAQs on GCD of 978, 889, 980, 131 Calculator

1. What is the GCD of 978, 889, 980, 131?

GCD of given numbers 978, 889, 980, 131 is 1


2. How to calculate the greatest common divisor of 978, 889, 980, 131?

We can find the highest common divisor of 978, 889, 980, 131 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 978, 889, 980, 131 i.e 1.


3. How can I use the GCD of 978, 889, 980, 131Calculator?

Out the numbers 978, 889, 980, 131 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.