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GCD of 130, 423, 427, 978 Calculator

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


Online GCD Calculator is useful to find the GCD of 130, 423, 427, 978 quickly. Get the easiest ways to solve the greatest common divisor of 130, 423, 427, 978 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 130, 423, 427, 978 with Factoring?

Given Input numbers are 130, 423, 427, 978

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

Divisors of 130 :

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

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

Divisors of 423 :

The positive integer divisors of 423 that completely divides 423 are.

1, 3, 9, 47, 141, 423

Divisors of 427 :

The positive integer divisors of 427 that completely divides 427 are.

1, 7, 61, 427

Divisors of 978 :

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

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


GCD of numbers is the greatest common divisor

So, the GCD (130, 423, 427, 978) = 1.

Find GCD of 130, 423, 427, 978 using Prime Factorization

Given numbers are 130, 423, 427, 978

The list of prime factors of all numbers are

Prime factors of 130 are 2 x 5 x 13

Prime factors of 423 are 3 x 3 x 47

Prime factors of 427 are 7 x 61

Prime factors of 978 are 2 x 3 x 163

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

Steps to Calculate GCD of 130, 423, 427, 978 using LCM Formula

Given numbers are 130, 423, 427, 978

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

Apply this formula for all numbers.

Step1:

LCM(130, 423) = 54990

GCD(130, 423) = ( 130 x 423 ) / 54990

= 130 / 423

= 130


Step2:

LCM(1, 427) = 427

GCD(1, 427) = ( 1 x 427 ) / 427

= 1 / 427

= 1


Step3:

LCM(1, 978) = 978

GCD(1, 978) = ( 1 x 978 ) / 978

= 1 / 978

= 1


So, Greatest Common Divisor of 130, 423, 427, 978 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 130, 423, 427, 978

Given numbers are 130, 423, 427, 978
The greatest common divisor of numbers 130, 423, 427, 978 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 130, 423, 427, 978 is 1.

FAQs on GCD of 130, 423, 427, 978 Calculator

1. What is the GCD of 130, 423, 427, 978?

GCD of given numbers 130, 423, 427, 978 is 1


2. How to calculate the greatest common divisor of 130, 423, 427, 978?

We can find the highest common divisor of 130, 423, 427, 978 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 130, 423, 427, 978 i.e 1.


3. How can I use the GCD of 130, 423, 427, 978Calculator?

Out the numbers 130, 423, 427, 978 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.