GCD of 381, 736, 91, 997 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, 736, 91, 997 i.e. 1 largest integer that divides all the numbers equally.

GCD of 381, 736, 91, 997 is 1

GCD(381, 736, 91, 997) = 1

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

GCD of

GCD of numbers 381, 736, 91, 997 is 1

GCD(381, 736, 91, 997) = 1

GCD of 381,736,91,997 Calculator

GCDof 381,736,91,997 is 1

Given Input numbers are 381, 736, 91, 997

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 736

List of positive integer divisors of 736 that divides 736 without a remainder.

1, 2, 4, 8, 16, 23, 32, 46, 92, 184, 368, 736

Divisors of 91

List of positive integer divisors of 91 that divides 91 without a remainder.

1, 7, 13, 91

Divisors of 997

List of positive integer divisors of 997 that divides 997 without a remainder.

1, 997

Greatest Common Divisior

We found the divisors of 381, 736, 91, 997 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 381, 736, 91, 997 is 1.

Therefore, GCD of numbers 381, 736, 91, 997 is 1

Finding GCD of 381, 736, 91, 997 using Prime Factorization

Given Input Data is 381, 736, 91, 997

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

Prime Factorization of 381 is 3 x 127

Prime Factorization of 736 is 2 x 2 x 2 x 2 x 2 x 23

Prime Factorization of 91 is 7 x 13

Prime Factorization of 997 is 997

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

Finding GCD of 381, 736, 91, 997 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, 736) = 280416

GCD(381, 736) = ( 381 x 736 ) / 280416

GCD(381, 736) = 280416 / 280416

GCD(381, 736) = 1


Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 91

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

LCM(1, 91) = 91

GCD(1, 91) = ( 1 x 91 ) / 91

GCD(1, 91) = 91 / 91

GCD(1, 91) = 1


Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 997

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

LCM(1, 997) = 997

GCD(1, 997) = ( 1 x 997 ) / 997

GCD(1, 997) = 997 / 997

GCD(1, 997) = 1

GCD of 381, 736, 91, 997 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 381, 736, 91, 997

1. What is the GCD of 381, 736, 91, 997?

GCD of 381, 736, 91, 997 is 1


2. Where do I get the detailed procedure to find GCD of 381, 736, 91, 997?

You can find a detailed procedure to find GCD of 381, 736, 91, 997 on our page.


3. How to find GCD of 381, 736, 91, 997 on a calculator?

You can find the GCD of 381, 736, 91, 997 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.