GCD of 767, 735, 726, 980 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 767, 735, 726, 980 i.e. 1 largest integer that divides all the numbers equally.

GCD of 767, 735, 726, 980 is 1

GCD(767, 735, 726, 980) = 1

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

GCD of

GCD of numbers 767, 735, 726, 980 is 1

GCD(767, 735, 726, 980) = 1

GCD of 767,735,726,980 Calculator

GCDof 767,735,726,980 is 1

Given Input numbers are 767, 735, 726, 980

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

Divisors of 767

List of positive integer divisors of 767 that divides 767 without a remainder.

1, 13, 59, 767

Divisors of 735

List of positive integer divisors of 735 that divides 735 without a remainder.

1, 3, 5, 7, 15, 21, 35, 49, 105, 147, 245, 735

Divisors of 726

List of positive integer divisors of 726 that divides 726 without a remainder.

1, 2, 3, 6, 11, 22, 33, 66, 121, 242, 363, 726

Divisors of 980

List of positive integer divisors of 980 that divides 980 without a remainder.

1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 49, 70, 98, 140, 196, 245, 490, 980

Greatest Common Divisior

We found the divisors of 767, 735, 726, 980 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 767, 735, 726, 980 is 1.

Therefore, GCD of numbers 767, 735, 726, 980 is 1

Finding GCD of 767, 735, 726, 980 using Prime Factorization

Given Input Data is 767, 735, 726, 980

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

Prime Factorization of 767 is 13 x 59

Prime Factorization of 735 is 3 x 5 x 7 x 7

Prime Factorization of 726 is 2 x 3 x 11 x 11

Prime Factorization of 980 is 2 x 2 x 5 x 7 x 7

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

Finding GCD of 767, 735, 726, 980 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(767, 735) = 563745

GCD(767, 735) = ( 767 x 735 ) / 563745

GCD(767, 735) = 563745 / 563745

GCD(767, 735) = 1


Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 726

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

LCM(1, 726) = 726

GCD(1, 726) = ( 1 x 726 ) / 726

GCD(1, 726) = 726 / 726

GCD(1, 726) = 1


Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 980

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

LCM(1, 980) = 980

GCD(1, 980) = ( 1 x 980 ) / 980

GCD(1, 980) = 980 / 980

GCD(1, 980) = 1

GCD of 767, 735, 726, 980 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 767, 735, 726, 980

1. What is the GCD of 767, 735, 726, 980?

GCD of 767, 735, 726, 980 is 1


2. Where do I get the detailed procedure to find GCD of 767, 735, 726, 980?

You can find a detailed procedure to find GCD of 767, 735, 726, 980 on our page.


3. How to find GCD of 767, 735, 726, 980 on a calculator?

You can find the GCD of 767, 735, 726, 980 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.