GCD of 988, 760, 399, 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 988, 760, 399, 492 i.e. 1 largest integer that divides all the numbers equally.

GCD of 988, 760, 399, 492 is 1

GCD(988, 760, 399, 492) = 1

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

GCD of

GCD of numbers 988, 760, 399, 492 is 1

GCD(988, 760, 399, 492) = 1

GCD of 988,760,399,492 Calculator

GCDof 988,760,399,492 is 1

Given Input numbers are 988, 760, 399, 492

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

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 760

List of positive integer divisors of 760 that divides 760 without a remainder.

1, 2, 4, 5, 8, 10, 19, 20, 38, 40, 76, 95, 152, 190, 380, 760

Divisors of 399

List of positive integer divisors of 399 that divides 399 without a remainder.

1, 3, 7, 19, 21, 57, 133, 399

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 988, 760, 399, 492 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 988, 760, 399, 492 is 1.

Therefore, GCD of numbers 988, 760, 399, 492 is 1

Finding GCD of 988, 760, 399, 492 using Prime Factorization

Given Input Data is 988, 760, 399, 492

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

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

Prime Factorization of 760 is 2 x 2 x 2 x 5 x 19

Prime Factorization of 399 is 3 x 7 x 19

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 988, 760, 399, 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(988, 760) = 9880

GCD(988, 760) = ( 988 x 760 ) / 9880

GCD(988, 760) = 750880 / 9880

GCD(988, 760) = 76


Step2:

Here we consider the GCD from the above i.e. 76 as first number and the next as 399

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

LCM(76, 399) = 1596

GCD(76, 399) = ( 76 x 399 ) / 1596

GCD(76, 399) = 30324 / 1596

GCD(76, 399) = 19


Step3:

Here we consider the GCD from the above i.e. 19 as first number and the next as 492

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

LCM(19, 492) = 9348

GCD(19, 492) = ( 19 x 492 ) / 9348

GCD(19, 492) = 9348 / 9348

GCD(19, 492) = 1

GCD of 988, 760, 399, 492 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 988, 760, 399, 492

1. What is the GCD of 988, 760, 399, 492?

GCD of 988, 760, 399, 492 is 1


2. Where do I get the detailed procedure to find GCD of 988, 760, 399, 492?

You can find a detailed procedure to find GCD of 988, 760, 399, 492 on our page.


3. How to find GCD of 988, 760, 399, 492 on a calculator?

You can find the GCD of 988, 760, 399, 492 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.