GCD of 381, 292, 65, 988 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 381, 292, 65, 988 i.e. 1 largest integer that divides all the numbers equally.

GCD of 381, 292, 65, 988 is 1

GCD(381, 292, 65, 988) = 1

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

GCD of

GCD of numbers 381, 292, 65, 988 is 1

GCD(381, 292, 65, 988) = 1

GCD of 381,292,65,988 Calculator

GCDof 381,292,65,988 is 1

Given Input numbers are 381, 292, 65, 988

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

Divisors of 381

List of positive integer divisors of 381 that divides 381 without a remainder.

1, 3, 127, 381

Divisors of 292

List of positive integer divisors of 292 that divides 292 without a remainder.

1, 2, 4, 73, 146, 292

Divisors of 65

List of positive integer divisors of 65 that divides 65 without a remainder.

1, 5, 13, 65

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

Greatest Common Divisior

We found the divisors of 381, 292, 65, 988 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 381, 292, 65, 988 is 1.

Therefore, GCD of numbers 381, 292, 65, 988 is 1

Finding GCD of 381, 292, 65, 988 using Prime Factorization

Given Input Data is 381, 292, 65, 988

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

Prime Factorization of 381 is 3 x 127

Prime Factorization of 292 is 2 x 2 x 73

Prime Factorization of 65 is 5 x 13

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

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

Finding GCD of 381, 292, 65, 988 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(381, 292) = 111252

GCD(381, 292) = ( 381 x 292 ) / 111252

GCD(381, 292) = 111252 / 111252

GCD(381, 292) = 1


Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 65

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

LCM(1, 65) = 65

GCD(1, 65) = ( 1 x 65 ) / 65

GCD(1, 65) = 65 / 65

GCD(1, 65) = 1


Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 988

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

LCM(1, 988) = 988

GCD(1, 988) = ( 1 x 988 ) / 988

GCD(1, 988) = 988 / 988

GCD(1, 988) = 1

GCD of 381, 292, 65, 988 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 381, 292, 65, 988

1. What is the GCD of 381, 292, 65, 988?

GCD of 381, 292, 65, 988 is 1


2. Where do I get the detailed procedure to find GCD of 381, 292, 65, 988?

You can find a detailed procedure to find GCD of 381, 292, 65, 988 on our page.


3. How to find GCD of 381, 292, 65, 988 on a calculator?

You can find the GCD of 381, 292, 65, 988 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.