GCD of 987, 712, 917, 251 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 987, 712, 917, 251 i.e. 1 largest integer that divides all the numbers equally.

GCD of 987, 712, 917, 251 is 1

GCD(987, 712, 917, 251) = 1

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

GCD of

GCD of numbers 987, 712, 917, 251 is 1

GCD(987, 712, 917, 251) = 1

GCD of 987,712,917,251 Calculator

GCDof 987,712,917,251 is 1

Given Input numbers are 987, 712, 917, 251

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

Divisors of 987

List of positive integer divisors of 987 that divides 987 without a remainder.

1, 3, 7, 21, 47, 141, 329, 987

Divisors of 712

List of positive integer divisors of 712 that divides 712 without a remainder.

1, 2, 4, 8, 89, 178, 356, 712

Divisors of 917

List of positive integer divisors of 917 that divides 917 without a remainder.

1, 7, 131, 917

Divisors of 251

List of positive integer divisors of 251 that divides 251 without a remainder.

1, 251

Greatest Common Divisior

We found the divisors of 987, 712, 917, 251 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 987, 712, 917, 251 is 1.

Therefore, GCD of numbers 987, 712, 917, 251 is 1

Finding GCD of 987, 712, 917, 251 using Prime Factorization

Given Input Data is 987, 712, 917, 251

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

Prime Factorization of 987 is 3 x 7 x 47

Prime Factorization of 712 is 2 x 2 x 2 x 89

Prime Factorization of 917 is 7 x 131

Prime Factorization of 251 is 251

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

Finding GCD of 987, 712, 917, 251 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(987, 712) = 702744

GCD(987, 712) = ( 987 x 712 ) / 702744

GCD(987, 712) = 702744 / 702744

GCD(987, 712) = 1


Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 917

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

LCM(1, 917) = 917

GCD(1, 917) = ( 1 x 917 ) / 917

GCD(1, 917) = 917 / 917

GCD(1, 917) = 1


Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 251

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

LCM(1, 251) = 251

GCD(1, 251) = ( 1 x 251 ) / 251

GCD(1, 251) = 251 / 251

GCD(1, 251) = 1

GCD of 987, 712, 917, 251 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 987, 712, 917, 251

1. What is the GCD of 987, 712, 917, 251?

GCD of 987, 712, 917, 251 is 1


2. Where do I get the detailed procedure to find GCD of 987, 712, 917, 251?

You can find a detailed procedure to find GCD of 987, 712, 917, 251 on our page.


3. How to find GCD of 987, 712, 917, 251 on a calculator?

You can find the GCD of 987, 712, 917, 251 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.