GCD of 31, 977, 770, 195 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 31, 977, 770, 195 i.e. 1 largest integer that divides all the numbers equally.

GCD of 31, 977, 770, 195 is 1

GCD(31, 977, 770, 195) = 1

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

GCD of

GCD of numbers 31, 977, 770, 195 is 1

GCD(31, 977, 770, 195) = 1

GCD of 31,977,770,195 Calculator

GCDof 31,977,770,195 is 1

Given Input numbers are 31, 977, 770, 195

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

Divisors of 31

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

1, 31

Divisors of 977

List of positive integer divisors of 977 that divides 977 without a remainder.

1, 977

Divisors of 770

List of positive integer divisors of 770 that divides 770 without a remainder.

1, 2, 5, 7, 10, 11, 14, 22, 35, 55, 70, 77, 110, 154, 385, 770

Divisors of 195

List of positive integer divisors of 195 that divides 195 without a remainder.

1, 3, 5, 13, 15, 39, 65, 195

Greatest Common Divisior

We found the divisors of 31, 977, 770, 195 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 31, 977, 770, 195 is 1.

Therefore, GCD of numbers 31, 977, 770, 195 is 1

Finding GCD of 31, 977, 770, 195 using Prime Factorization

Given Input Data is 31, 977, 770, 195

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

Prime Factorization of 31 is 31

Prime Factorization of 977 is 977

Prime Factorization of 770 is 2 x 5 x 7 x 11

Prime Factorization of 195 is 3 x 5 x 13

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

Finding GCD of 31, 977, 770, 195 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(31, 977) = 30287

GCD(31, 977) = ( 31 x 977 ) / 30287

GCD(31, 977) = 30287 / 30287

GCD(31, 977) = 1


Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 770

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

LCM(1, 770) = 770

GCD(1, 770) = ( 1 x 770 ) / 770

GCD(1, 770) = 770 / 770

GCD(1, 770) = 1


Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 195

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

LCM(1, 195) = 195

GCD(1, 195) = ( 1 x 195 ) / 195

GCD(1, 195) = 195 / 195

GCD(1, 195) = 1

GCD of 31, 977, 770, 195 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 31, 977, 770, 195

1. What is the GCD of 31, 977, 770, 195?

GCD of 31, 977, 770, 195 is 1


2. Where do I get the detailed procedure to find GCD of 31, 977, 770, 195?

You can find a detailed procedure to find GCD of 31, 977, 770, 195 on our page.


3. How to find GCD of 31, 977, 770, 195 on a calculator?

You can find the GCD of 31, 977, 770, 195 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.