GCD of 956, 787, 20, 217 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 956, 787, 20, 217 i.e. 1 largest integer that divides all the numbers equally.

GCD of 956, 787, 20, 217 is 1

GCD(956, 787, 20, 217) = 1

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

GCD of

GCD of numbers 956, 787, 20, 217 is 1

GCD(956, 787, 20, 217) = 1

GCD of 956,787,20,217 Calculator

GCDof 956,787,20,217 is 1

Given Input numbers are 956, 787, 20, 217

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

Divisors of 956

List of positive integer divisors of 956 that divides 956 without a remainder.

1, 2, 4, 239, 478, 956

Divisors of 787

List of positive integer divisors of 787 that divides 787 without a remainder.

1, 787

Divisors of 20

List of positive integer divisors of 20 that divides 20 without a remainder.

1, 2, 4, 5, 10, 20

Divisors of 217

List of positive integer divisors of 217 that divides 217 without a remainder.

1, 7, 31, 217

Greatest Common Divisior

We found the divisors of 956, 787, 20, 217 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 956, 787, 20, 217 is 1.

Therefore, GCD of numbers 956, 787, 20, 217 is 1

Finding GCD of 956, 787, 20, 217 using Prime Factorization

Given Input Data is 956, 787, 20, 217

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

Prime Factorization of 956 is 2 x 2 x 239

Prime Factorization of 787 is 787

Prime Factorization of 20 is 2 x 2 x 5

Prime Factorization of 217 is 7 x 31

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

Finding GCD of 956, 787, 20, 217 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(956, 787) = 752372

GCD(956, 787) = ( 956 x 787 ) / 752372

GCD(956, 787) = 752372 / 752372

GCD(956, 787) = 1


Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 20

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

LCM(1, 20) = 20

GCD(1, 20) = ( 1 x 20 ) / 20

GCD(1, 20) = 20 / 20

GCD(1, 20) = 1


Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 217

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

LCM(1, 217) = 217

GCD(1, 217) = ( 1 x 217 ) / 217

GCD(1, 217) = 217 / 217

GCD(1, 217) = 1

GCD of 956, 787, 20, 217 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 956, 787, 20, 217

1. What is the GCD of 956, 787, 20, 217?

GCD of 956, 787, 20, 217 is 1


2. Where do I get the detailed procedure to find GCD of 956, 787, 20, 217?

You can find a detailed procedure to find GCD of 956, 787, 20, 217 on our page.


3. How to find GCD of 956, 787, 20, 217 on a calculator?

You can find the GCD of 956, 787, 20, 217 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.