GCD of 991, 745, 72, 836 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 991, 745, 72, 836 i.e. 1 largest integer that divides all the numbers equally.

GCD of 991, 745, 72, 836 is 1

GCD(991, 745, 72, 836) = 1

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

GCD of

GCD of numbers 991, 745, 72, 836 is 1

GCD(991, 745, 72, 836) = 1

GCD of 991,745,72,836 Calculator

GCDof 991,745,72,836 is 1

Given Input numbers are 991, 745, 72, 836

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

Divisors of 991

List of positive integer divisors of 991 that divides 991 without a remainder.

1, 991

Divisors of 745

List of positive integer divisors of 745 that divides 745 without a remainder.

1, 5, 149, 745

Divisors of 72

List of positive integer divisors of 72 that divides 72 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72

Divisors of 836

List of positive integer divisors of 836 that divides 836 without a remainder.

1, 2, 4, 11, 19, 22, 38, 44, 76, 209, 418, 836

Greatest Common Divisior

We found the divisors of 991, 745, 72, 836 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 991, 745, 72, 836 is 1.

Therefore, GCD of numbers 991, 745, 72, 836 is 1

Finding GCD of 991, 745, 72, 836 using Prime Factorization

Given Input Data is 991, 745, 72, 836

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

Prime Factorization of 991 is 991

Prime Factorization of 745 is 5 x 149

Prime Factorization of 72 is 2 x 2 x 2 x 3 x 3

Prime Factorization of 836 is 2 x 2 x 11 x 19

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

Finding GCD of 991, 745, 72, 836 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(991, 745) = 738295

GCD(991, 745) = ( 991 x 745 ) / 738295

GCD(991, 745) = 738295 / 738295

GCD(991, 745) = 1


Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 72

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

LCM(1, 72) = 72

GCD(1, 72) = ( 1 x 72 ) / 72

GCD(1, 72) = 72 / 72

GCD(1, 72) = 1


Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 836

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

LCM(1, 836) = 836

GCD(1, 836) = ( 1 x 836 ) / 836

GCD(1, 836) = 836 / 836

GCD(1, 836) = 1

GCD of 991, 745, 72, 836 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 991, 745, 72, 836

1. What is the GCD of 991, 745, 72, 836?

GCD of 991, 745, 72, 836 is 1


2. Where do I get the detailed procedure to find GCD of 991, 745, 72, 836?

You can find a detailed procedure to find GCD of 991, 745, 72, 836 on our page.


3. How to find GCD of 991, 745, 72, 836 on a calculator?

You can find the GCD of 991, 745, 72, 836 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.