GCD of 967, 131, 218 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 967, 131, 218 i.e. 1 largest integer that divides all the numbers equally.

GCD of 967, 131, 218 is 1

GCD(967, 131, 218) = 1

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

GCD of

GCD of numbers 967, 131, 218 is 1

GCD(967, 131, 218) = 1

GCD of 967,131,218 Calculator

GCDof 967,131,218 is 1

Given Input numbers are 967, 131, 218

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

Divisors of 967

List of positive integer divisors of 967 that divides 967 without a remainder.

1, 967

Divisors of 131

List of positive integer divisors of 131 that divides 131 without a remainder.

1, 131

Divisors of 218

List of positive integer divisors of 218 that divides 218 without a remainder.

1, 2, 109, 218

Greatest Common Divisior

We found the divisors of 967, 131, 218 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 967, 131, 218 is 1.

Therefore, GCD of numbers 967, 131, 218 is 1

Finding GCD of 967, 131, 218 using Prime Factorization

Given Input Data is 967, 131, 218

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

Prime Factorization of 967 is 967

Prime Factorization of 131 is 131

Prime Factorization of 218 is 2 x 109

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

Finding GCD of 967, 131, 218 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(967, 131) = 126677

GCD(967, 131) = ( 967 x 131 ) / 126677

GCD(967, 131) = 126677 / 126677

GCD(967, 131) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 218

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

LCM(1, 218) = 218

GCD(1, 218) = ( 1 x 218 ) / 218

GCD(1, 218) = 218 / 218

GCD(1, 218) = 1

GCD of 967, 131, 218 is 1

GCD of Numbers Calculation Examples

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FAQs on GCD of numbers 967, 131, 218

1. What is the GCD of 967, 131, 218?

GCD of 967, 131, 218 is 1

2. Where do I get the detailed procedure to find GCD of 967, 131, 218?

You can find a detailed procedure to find GCD of 967, 131, 218 on our page.

3. How to find GCD of 967, 131, 218 on a calculator?

You can find the GCD of 967, 131, 218 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.