GCD of 987, 684, 68, 949 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, 68, 949 i.e. 1 largest integer that divides all the numbers equally.

GCD of 987, 684, 68, 949 is 1

GCD(987, 684, 68, 949) = 1

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

GCD of

GCD of numbers 987, 684, 68, 949 is 1

GCD(987, 684, 68, 949) = 1

GCD of 987,684,68,949 Calculator

GCDof 987,684,68,949 is 1

Given Input numbers are 987, 684, 68, 949

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 68

List of positive integer divisors of 68 that divides 68 without a remainder.

1, 2, 4, 17, 34, 68

Divisors of 949

List of positive integer divisors of 949 that divides 949 without a remainder.

1, 13, 73, 949

Greatest Common Divisior

We found the divisors of 987, 684, 68, 949 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 987, 684, 68, 949 is 1.

Therefore, GCD of numbers 987, 684, 68, 949 is 1

Finding GCD of 987, 684, 68, 949 using Prime Factorization

Given Input Data is 987, 684, 68, 949

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 68 is 2 x 2 x 17

Prime Factorization of 949 is 13 x 73

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

Finding GCD of 987, 684, 68, 949 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 68

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

LCM(3, 68) = 204

GCD(3, 68) = ( 3 x 68 ) / 204

GCD(3, 68) = 204 / 204

GCD(3, 68) = 1


Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 949

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

LCM(1, 949) = 949

GCD(1, 949) = ( 1 x 949 ) / 949

GCD(1, 949) = 949 / 949

GCD(1, 949) = 1

GCD of 987, 684, 68, 949 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 987, 684, 68, 949

1. What is the GCD of 987, 684, 68, 949?

GCD of 987, 684, 68, 949 is 1


2. Where do I get the detailed procedure to find GCD of 987, 684, 68, 949?

You can find a detailed procedure to find GCD of 987, 684, 68, 949 on our page.


3. How to find GCD of 987, 684, 68, 949 on a calculator?

You can find the GCD of 987, 684, 68, 949 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.