GCD of 965, 638, 31, 196 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 965, 638, 31, 196 i.e. 1 largest integer that divides all the numbers equally.

GCD of 965, 638, 31, 196 is 1

GCD(965, 638, 31, 196) = 1

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

GCD of

GCD of numbers 965, 638, 31, 196 is 1

GCD(965, 638, 31, 196) = 1

GCD of 965,638,31,196 Calculator

GCDof 965,638,31,196 is 1

Given Input numbers are 965, 638, 31, 196

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

Divisors of 965

List of positive integer divisors of 965 that divides 965 without a remainder.

1, 5, 193, 965

Divisors of 638

List of positive integer divisors of 638 that divides 638 without a remainder.

1, 2, 11, 22, 29, 58, 319, 638

Divisors of 31

List of positive integer divisors of 31 that divides 31 without a remainder.

1, 31

Divisors of 196

List of positive integer divisors of 196 that divides 196 without a remainder.

1, 2, 4, 7, 14, 28, 49, 98, 196

Greatest Common Divisior

We found the divisors of 965, 638, 31, 196 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 965, 638, 31, 196 is 1.

Therefore, GCD of numbers 965, 638, 31, 196 is 1

Finding GCD of 965, 638, 31, 196 using Prime Factorization

Given Input Data is 965, 638, 31, 196

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

Prime Factorization of 965 is 5 x 193

Prime Factorization of 638 is 2 x 11 x 29

Prime Factorization of 31 is 31

Prime Factorization of 196 is 2 x 2 x 7 x 7

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

Finding GCD of 965, 638, 31, 196 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(965, 638) = 615670

GCD(965, 638) = ( 965 x 638 ) / 615670

GCD(965, 638) = 615670 / 615670

GCD(965, 638) = 1


Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 31

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

LCM(1, 31) = 31

GCD(1, 31) = ( 1 x 31 ) / 31

GCD(1, 31) = 31 / 31

GCD(1, 31) = 1


Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 196

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

LCM(1, 196) = 196

GCD(1, 196) = ( 1 x 196 ) / 196

GCD(1, 196) = 196 / 196

GCD(1, 196) = 1

GCD of 965, 638, 31, 196 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 965, 638, 31, 196

1. What is the GCD of 965, 638, 31, 196?

GCD of 965, 638, 31, 196 is 1


2. Where do I get the detailed procedure to find GCD of 965, 638, 31, 196?

You can find a detailed procedure to find GCD of 965, 638, 31, 196 on our page.


3. How to find GCD of 965, 638, 31, 196 on a calculator?

You can find the GCD of 965, 638, 31, 196 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.