GCD of 987, 684, 980, 709 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, 684, 980, 709 i.e. 1 largest integer that divides all the numbers equally.

GCD of 987, 684, 980, 709 is 1

GCD(987, 684, 980, 709) = 1

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

GCD of

GCD of numbers 987, 684, 980, 709 is 1

GCD(987, 684, 980, 709) = 1

GCD of 987,684,980,709 Calculator

GCDof 987,684,980,709 is 1

Given Input numbers are 987, 684, 980, 709

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 684

List of positive integer divisors of 684 that divides 684 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 19, 36, 38, 57, 76, 114, 171, 228, 342, 684

Divisors of 980

List of positive integer divisors of 980 that divides 980 without a remainder.

1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 49, 70, 98, 140, 196, 245, 490, 980

Divisors of 709

List of positive integer divisors of 709 that divides 709 without a remainder.

1, 709

Greatest Common Divisior

We found the divisors of 987, 684, 980, 709 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 987, 684, 980, 709 is 1.

Therefore, GCD of numbers 987, 684, 980, 709 is 1

Finding GCD of 987, 684, 980, 709 using Prime Factorization

Given Input Data is 987, 684, 980, 709

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 684 is 2 x 2 x 3 x 3 x 19

Prime Factorization of 980 is 2 x 2 x 5 x 7 x 7

Prime Factorization of 709 is 709

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

Finding GCD of 987, 684, 980, 709 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, 684) = 225036

GCD(987, 684) = ( 987 x 684 ) / 225036

GCD(987, 684) = 675108 / 225036

GCD(987, 684) = 3


Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 980

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

LCM(3, 980) = 2940

GCD(3, 980) = ( 3 x 980 ) / 2940

GCD(3, 980) = 2940 / 2940

GCD(3, 980) = 1


Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 709

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

LCM(1, 709) = 709

GCD(1, 709) = ( 1 x 709 ) / 709

GCD(1, 709) = 709 / 709

GCD(1, 709) = 1

GCD of 987, 684, 980, 709 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 987, 684, 980, 709

1. What is the GCD of 987, 684, 980, 709?

GCD of 987, 684, 980, 709 is 1


2. Where do I get the detailed procedure to find GCD of 987, 684, 980, 709?

You can find a detailed procedure to find GCD of 987, 684, 980, 709 on our page.


3. How to find GCD of 987, 684, 980, 709 on a calculator?

You can find the GCD of 987, 684, 980, 709 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.