GCD of 130, 970, 64, 397 Calculator

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Make use of GCD Calculator to determine the Greatest Common Divisor of 130, 970, 64, 397 i.e. 1 largest integer that divides all the numbers equally.

GCD of 130, 970, 64, 397 is 1

GCD(130, 970, 64, 397) = 1

Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345

GCD of

GCD of numbers 130, 970, 64, 397 is 1

GCD(130, 970, 64, 397) = 1

GCD of 130,970,64,397 Calculator

GCDof 130,970,64,397 is 1

Given Input numbers are 130, 970, 64, 397

To find the GCD of numbers using factoring list out all the divisors of each number

Divisors of 130

List of positive integer divisors of 130 that divides 130 without a remainder.

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

Divisors of 970

List of positive integer divisors of 970 that divides 970 without a remainder.

1, 2, 5, 10, 97, 194, 485, 970

Divisors of 64

List of positive integer divisors of 64 that divides 64 without a remainder.

1, 2, 4, 8, 16, 32, 64

Divisors of 397

List of positive integer divisors of 397 that divides 397 without a remainder.

1, 397

Greatest Common Divisior

We found the divisors of 130, 970, 64, 397 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 130, 970, 64, 397 is 1.

Therefore, GCD of numbers 130, 970, 64, 397 is 1

Finding GCD of 130, 970, 64, 397 using Prime Factorization

Given Input Data is 130, 970, 64, 397

Make a list of Prime Factors of all the given numbers initially

Prime Factorization of 130 is 2 x 5 x 13

Prime Factorization of 970 is 2 x 5 x 97

Prime Factorization of 64 is 2 x 2 x 2 x 2 x 2 x 2

Prime Factorization of 397 is 397

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

Finding GCD of 130, 970, 64, 397 using LCM Formula

Step1:

Let's calculate the GCD of first two numbers

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

LCM(130, 970) = 12610

GCD(130, 970) = ( 130 x 970 ) / 12610

GCD(130, 970) = 126100 / 12610

GCD(130, 970) = 10


Step2:

Here we consider the GCD from the above i.e. 10 as first number and the next as 64

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

LCM(10, 64) = 320

GCD(10, 64) = ( 10 x 64 ) / 320

GCD(10, 64) = 640 / 320

GCD(10, 64) = 2


Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 397

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

LCM(2, 397) = 794

GCD(2, 397) = ( 2 x 397 ) / 794

GCD(2, 397) = 794 / 794

GCD(2, 397) = 1

GCD of 130, 970, 64, 397 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 130, 970, 64, 397

1. What is the GCD of 130, 970, 64, 397?

GCD of 130, 970, 64, 397 is 1


2. Where do I get the detailed procedure to find GCD of 130, 970, 64, 397?

You can find a detailed procedure to find GCD of 130, 970, 64, 397 on our page.


3. How to find GCD of 130, 970, 64, 397 on a calculator?

You can find the GCD of 130, 970, 64, 397 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.