GCD of 964, 313, 71, 531 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 964, 313, 71, 531 i.e. 1 largest integer that divides all the numbers equally.

GCD of 964, 313, 71, 531 is 1

GCD(964, 313, 71, 531) = 1

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

GCD of

GCD of numbers 964, 313, 71, 531 is 1

GCD(964, 313, 71, 531) = 1

GCD of 964,313,71,531 Calculator

GCDof 964,313,71,531 is 1

Given Input numbers are 964, 313, 71, 531

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

Divisors of 964

List of positive integer divisors of 964 that divides 964 without a remainder.

1, 2, 4, 241, 482, 964

Divisors of 313

List of positive integer divisors of 313 that divides 313 without a remainder.

1, 313

Divisors of 71

List of positive integer divisors of 71 that divides 71 without a remainder.

1, 71

Divisors of 531

List of positive integer divisors of 531 that divides 531 without a remainder.

1, 3, 9, 59, 177, 531

Greatest Common Divisior

We found the divisors of 964, 313, 71, 531 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 964, 313, 71, 531 is 1.

Therefore, GCD of numbers 964, 313, 71, 531 is 1

Finding GCD of 964, 313, 71, 531 using Prime Factorization

Given Input Data is 964, 313, 71, 531

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

Prime Factorization of 964 is 2 x 2 x 241

Prime Factorization of 313 is 313

Prime Factorization of 71 is 71

Prime Factorization of 531 is 3 x 3 x 59

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

Finding GCD of 964, 313, 71, 531 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(964, 313) = 301732

GCD(964, 313) = ( 964 x 313 ) / 301732

GCD(964, 313) = 301732 / 301732

GCD(964, 313) = 1


Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 71

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

LCM(1, 71) = 71

GCD(1, 71) = ( 1 x 71 ) / 71

GCD(1, 71) = 71 / 71

GCD(1, 71) = 1


Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 531

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

LCM(1, 531) = 531

GCD(1, 531) = ( 1 x 531 ) / 531

GCD(1, 531) = 531 / 531

GCD(1, 531) = 1

GCD of 964, 313, 71, 531 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 964, 313, 71, 531

1. What is the GCD of 964, 313, 71, 531?

GCD of 964, 313, 71, 531 is 1


2. Where do I get the detailed procedure to find GCD of 964, 313, 71, 531?

You can find a detailed procedure to find GCD of 964, 313, 71, 531 on our page.


3. How to find GCD of 964, 313, 71, 531 on a calculator?

You can find the GCD of 964, 313, 71, 531 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.