GCD of 625, 988, 28, 492 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 625, 988, 28, 492 i.e. 1 largest integer that divides all the numbers equally.

GCD of 625, 988, 28, 492 is 1

GCD(625, 988, 28, 492) = 1

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

GCD of

GCD of numbers 625, 988, 28, 492 is 1

GCD(625, 988, 28, 492) = 1

GCD of 625,988,28,492 Calculator

GCDof 625,988,28,492 is 1

Given Input numbers are 625, 988, 28, 492

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

Divisors of 625

List of positive integer divisors of 625 that divides 625 without a remainder.

1, 5, 25, 125, 625

Divisors of 988

List of positive integer divisors of 988 that divides 988 without a remainder.

1, 2, 4, 13, 19, 26, 38, 52, 76, 247, 494, 988

Divisors of 28

List of positive integer divisors of 28 that divides 28 without a remainder.

1, 2, 4, 7, 14, 28

Divisors of 492

List of positive integer divisors of 492 that divides 492 without a remainder.

1, 2, 3, 4, 6, 12, 41, 82, 123, 164, 246, 492

Greatest Common Divisior

We found the divisors of 625, 988, 28, 492 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 625, 988, 28, 492 is 1.

Therefore, GCD of numbers 625, 988, 28, 492 is 1

Finding GCD of 625, 988, 28, 492 using Prime Factorization

Given Input Data is 625, 988, 28, 492

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

Prime Factorization of 625 is 5 x 5 x 5 x 5

Prime Factorization of 988 is 2 x 2 x 13 x 19

Prime Factorization of 28 is 2 x 2 x 7

Prime Factorization of 492 is 2 x 2 x 3 x 41

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

Finding GCD of 625, 988, 28, 492 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(625, 988) = 617500

GCD(625, 988) = ( 625 x 988 ) / 617500

GCD(625, 988) = 617500 / 617500

GCD(625, 988) = 1


Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 28

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

LCM(1, 28) = 28

GCD(1, 28) = ( 1 x 28 ) / 28

GCD(1, 28) = 28 / 28

GCD(1, 28) = 1


Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 492

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

LCM(1, 492) = 492

GCD(1, 492) = ( 1 x 492 ) / 492

GCD(1, 492) = 492 / 492

GCD(1, 492) = 1

GCD of 625, 988, 28, 492 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 625, 988, 28, 492

1. What is the GCD of 625, 988, 28, 492?

GCD of 625, 988, 28, 492 is 1


2. Where do I get the detailed procedure to find GCD of 625, 988, 28, 492?

You can find a detailed procedure to find GCD of 625, 988, 28, 492 on our page.


3. How to find GCD of 625, 988, 28, 492 on a calculator?

You can find the GCD of 625, 988, 28, 492 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.