GCD of 760, 210, 31 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 760, 210, 31 i.e. 1 largest integer that divides all the numbers equally.

GCD of 760, 210, 31 is 1

GCD(760, 210, 31) = 1

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

GCD of

GCD of numbers 760, 210, 31 is 1

GCD(760, 210, 31) = 1

GCD of 760,210,31 Calculator

GCDof 760,210,31 is 1

Given Input numbers are 760, 210, 31

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

Divisors of 760

List of positive integer divisors of 760 that divides 760 without a remainder.

1, 2, 4, 5, 8, 10, 19, 20, 38, 40, 76, 95, 152, 190, 380, 760

Divisors of 210

List of positive integer divisors of 210 that divides 210 without a remainder.

1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 30, 35, 42, 70, 105, 210

Divisors of 31

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

1, 31

Greatest Common Divisior

We found the divisors of 760, 210, 31 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 760, 210, 31 is 1.

Therefore, GCD of numbers 760, 210, 31 is 1

Finding GCD of 760, 210, 31 using Prime Factorization

Given Input Data is 760, 210, 31

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

Prime Factorization of 760 is 2 x 2 x 2 x 5 x 19

Prime Factorization of 210 is 2 x 3 x 5 x 7

Prime Factorization of 31 is 31

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

Finding GCD of 760, 210, 31 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(760, 210) = 15960

GCD(760, 210) = ( 760 x 210 ) / 15960

GCD(760, 210) = 159600 / 15960

GCD(760, 210) = 10


Step2:

Here we consider the GCD from the above i.e. 10 as first number and the next as 31

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

LCM(10, 31) = 310

GCD(10, 31) = ( 10 x 31 ) / 310

GCD(10, 31) = 310 / 310

GCD(10, 31) = 1

GCD of 760, 210, 31 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 760, 210, 31

1. What is the GCD of 760, 210, 31?

GCD of 760, 210, 31 is 1


2. Where do I get the detailed procedure to find GCD of 760, 210, 31?

You can find a detailed procedure to find GCD of 760, 210, 31 on our page.


3. How to find GCD of 760, 210, 31 on a calculator?

You can find the GCD of 760, 210, 31 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.