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GCD of 978, 116, 655, 379 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, 116, 655, 379 quickly. Get the easiest ways to solve the greatest common divisor of 978, 116, 655, 379 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 978, 116, 655, 379 with Factoring?

Given Input numbers are 978, 116, 655, 379

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 116 :

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

1, 2, 4, 29, 58, 116

Divisors of 655 :

The positive integer divisors of 655 that completely divides 655 are.

1, 5, 131, 655

Divisors of 379 :

The positive integer divisors of 379 that completely divides 379 are.

1, 379


GCD of numbers is the greatest common divisor

So, the GCD (978, 116, 655, 379) = 1.

Find GCD of 978, 116, 655, 379 using Prime Factorization

Given numbers are 978, 116, 655, 379

The list of prime factors of all numbers are

Prime factors of 978 are 2 x 3 x 163

Prime factors of 116 are 2 x 2 x 29

Prime factors of 655 are 5 x 131

Prime factors of 379 are 379

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

Steps to Calculate GCD of 978, 116, 655, 379 using LCM Formula

Given numbers are 978, 116, 655, 379

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

Apply this formula for all numbers.

Step1:

LCM(978, 116) = 56724

GCD(978, 116) = ( 978 x 116 ) / 56724

= 978 / 116

= 978


Step2:

LCM(2, 655) = 1310

GCD(2, 655) = ( 2 x 655 ) / 1310

= 2 / 655

= 2


Step3:

LCM(1, 379) = 379

GCD(1, 379) = ( 1 x 379 ) / 379

= 1 / 379

= 1


So, Greatest Common Divisor of 978, 116, 655, 379 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 978, 116, 655, 379

Given numbers are 978, 116, 655, 379
The greatest common divisor of numbers 978, 116, 655, 379 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 978, 116, 655, 379 is 1.

FAQs on GCD of 978, 116, 655, 379 Calculator

1. What is the GCD of 978, 116, 655, 379?

GCD of given numbers 978, 116, 655, 379 is 1


2. How to calculate the greatest common divisor of 978, 116, 655, 379?

We can find the highest common divisor of 978, 116, 655, 379 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, 116, 655, 379 i.e 1.


3. How can I use the GCD of 978, 116, 655, 379Calculator?

Out the numbers 978, 116, 655, 379 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.