GCD of 758, 731, 77, 679 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 758, 731, 77, 679 i.e. 1 largest integer that divides all the numbers equally.

GCD of 758, 731, 77, 679 is 1

GCD(758, 731, 77, 679) = 1

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

GCD of

GCD of numbers 758, 731, 77, 679 is 1

GCD(758, 731, 77, 679) = 1

GCD of 758,731,77,679 Calculator

GCDof 758,731,77,679 is 1

Given Input numbers are 758, 731, 77, 679

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

Divisors of 758

List of positive integer divisors of 758 that divides 758 without a remainder.

1, 2, 379, 758

Divisors of 731

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

1, 17, 43, 731

Divisors of 77

List of positive integer divisors of 77 that divides 77 without a remainder.

1, 7, 11, 77

Divisors of 679

List of positive integer divisors of 679 that divides 679 without a remainder.

1, 7, 97, 679

Greatest Common Divisior

We found the divisors of 758, 731, 77, 679 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 758, 731, 77, 679 is 1.

Therefore, GCD of numbers 758, 731, 77, 679 is 1

Finding GCD of 758, 731, 77, 679 using Prime Factorization

Given Input Data is 758, 731, 77, 679

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

Prime Factorization of 758 is 2 x 379

Prime Factorization of 731 is 17 x 43

Prime Factorization of 77 is 7 x 11

Prime Factorization of 679 is 7 x 97

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

Finding GCD of 758, 731, 77, 679 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(758, 731) = 554098

GCD(758, 731) = ( 758 x 731 ) / 554098

GCD(758, 731) = 554098 / 554098

GCD(758, 731) = 1


Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 77

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

LCM(1, 77) = 77

GCD(1, 77) = ( 1 x 77 ) / 77

GCD(1, 77) = 77 / 77

GCD(1, 77) = 1


Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 679

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

LCM(1, 679) = 679

GCD(1, 679) = ( 1 x 679 ) / 679

GCD(1, 679) = 679 / 679

GCD(1, 679) = 1

GCD of 758, 731, 77, 679 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 758, 731, 77, 679

1. What is the GCD of 758, 731, 77, 679?

GCD of 758, 731, 77, 679 is 1


2. Where do I get the detailed procedure to find GCD of 758, 731, 77, 679?

You can find a detailed procedure to find GCD of 758, 731, 77, 679 on our page.


3. How to find GCD of 758, 731, 77, 679 on a calculator?

You can find the GCD of 758, 731, 77, 679 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.