GCD of 780, 756, 91, 731 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 780, 756, 91, 731 i.e. 1 largest integer that divides all the numbers equally.

GCD of 780, 756, 91, 731 is 1

GCD(780, 756, 91, 731) = 1

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

GCD of

GCD of numbers 780, 756, 91, 731 is 1

GCD(780, 756, 91, 731) = 1

GCD of 780,756,91,731 Calculator

GCDof 780,756,91,731 is 1

Given Input numbers are 780, 756, 91, 731

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

Divisors of 780

List of positive integer divisors of 780 that divides 780 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 13, 15, 20, 26, 30, 39, 52, 60, 65, 78, 130, 156, 195, 260, 390, 780

Divisors of 756

List of positive integer divisors of 756 that divides 756 without a remainder.

1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 27, 28, 36, 42, 54, 63, 84, 108, 126, 189, 252, 378, 756

Divisors of 91

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

1, 7, 13, 91

Divisors of 731

List of positive integer divisors of 731 that divides 731 without a remainder.

1, 17, 43, 731

Greatest Common Divisior

We found the divisors of 780, 756, 91, 731 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 780, 756, 91, 731 is 1.

Therefore, GCD of numbers 780, 756, 91, 731 is 1

Finding GCD of 780, 756, 91, 731 using Prime Factorization

Given Input Data is 780, 756, 91, 731

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

Prime Factorization of 780 is 2 x 2 x 3 x 5 x 13

Prime Factorization of 756 is 2 x 2 x 3 x 3 x 3 x 7

Prime Factorization of 91 is 7 x 13

Prime Factorization of 731 is 17 x 43

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

Finding GCD of 780, 756, 91, 731 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(780, 756) = 49140

GCD(780, 756) = ( 780 x 756 ) / 49140

GCD(780, 756) = 589680 / 49140

GCD(780, 756) = 12


Step2:

Here we consider the GCD from the above i.e. 12 as first number and the next as 91

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

LCM(12, 91) = 1092

GCD(12, 91) = ( 12 x 91 ) / 1092

GCD(12, 91) = 1092 / 1092

GCD(12, 91) = 1


Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 731

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

LCM(1, 731) = 731

GCD(1, 731) = ( 1 x 731 ) / 731

GCD(1, 731) = 731 / 731

GCD(1, 731) = 1

GCD of 780, 756, 91, 731 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 780, 756, 91, 731

1. What is the GCD of 780, 756, 91, 731?

GCD of 780, 756, 91, 731 is 1


2. Where do I get the detailed procedure to find GCD of 780, 756, 91, 731?

You can find a detailed procedure to find GCD of 780, 756, 91, 731 on our page.


3. How to find GCD of 780, 756, 91, 731 on a calculator?

You can find the GCD of 780, 756, 91, 731 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.