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GCD of 678, 130, 978, 121 Calculator

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


Online GCD Calculator is useful to find the GCD of 678, 130, 978, 121 quickly. Get the easiest ways to solve the greatest common divisor of 678, 130, 978, 121 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 678, 130, 978, 121 with Factoring?

Given Input numbers are 678, 130, 978, 121

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

Divisors of 678 :

The positive integer divisors of 678 that completely divides 678 are.

1, 2, 3, 6, 113, 226, 339, 678

Divisors of 130 :

The positive integer divisors of 130 that completely divides 130 are.

1, 2, 5, 10, 13, 26, 65, 130

Divisors of 978 :

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

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

Divisors of 121 :

The positive integer divisors of 121 that completely divides 121 are.

1, 11, 121


GCD of numbers is the greatest common divisor

So, the GCD (678, 130, 978, 121) = 1.

Find GCD of 678, 130, 978, 121 using Prime Factorization

Given numbers are 678, 130, 978, 121

The list of prime factors of all numbers are

Prime factors of 678 are 2 x 3 x 113

Prime factors of 130 are 2 x 5 x 13

Prime factors of 978 are 2 x 3 x 163

Prime factors of 121 are 11 x 11

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

Steps to Calculate GCD of 678, 130, 978, 121 using LCM Formula

Given numbers are 678, 130, 978, 121

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

Apply this formula for all numbers.

Step1:

LCM(678, 130) = 44070

GCD(678, 130) = ( 678 x 130 ) / 44070

= 678 / 130

= 678


Step2:

LCM(2, 978) = 978

GCD(2, 978) = ( 2 x 978 ) / 978

= 2 / 978

= 2


Step3:

LCM(2, 121) = 242

GCD(2, 121) = ( 2 x 121 ) / 242

= 2 / 121

= 2


So, Greatest Common Divisor of 678, 130, 978, 121 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 678, 130, 978, 121

Given numbers are 678, 130, 978, 121
The greatest common divisor of numbers 678, 130, 978, 121 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 678, 130, 978, 121 is 1.

FAQs on GCD of 678, 130, 978, 121 Calculator

1. What is the GCD of 678, 130, 978, 121?

GCD of given numbers 678, 130, 978, 121 is 1


2. How to calculate the greatest common divisor of 678, 130, 978, 121?

We can find the highest common divisor of 678, 130, 978, 121 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 678, 130, 978, 121 i.e 1.


3. How can I use the GCD of 678, 130, 978, 121Calculator?

Out the numbers 678, 130, 978, 121 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.