GCD of 758, 724, 60, 865 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, 724, 60, 865 i.e. 1 largest integer that divides all the numbers equally.

GCD of 758, 724, 60, 865 is 1

GCD(758, 724, 60, 865) = 1

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

GCD of

GCD of numbers 758, 724, 60, 865 is 1

GCD(758, 724, 60, 865) = 1

GCD of 758,724,60,865 Calculator

GCDof 758,724,60,865 is 1

Given Input numbers are 758, 724, 60, 865

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 724

List of positive integer divisors of 724 that divides 724 without a remainder.

1, 2, 4, 181, 362, 724

Divisors of 60

List of positive integer divisors of 60 that divides 60 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60

Divisors of 865

List of positive integer divisors of 865 that divides 865 without a remainder.

1, 5, 173, 865

Greatest Common Divisior

We found the divisors of 758, 724, 60, 865 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 758, 724, 60, 865 is 1.

Therefore, GCD of numbers 758, 724, 60, 865 is 1

Finding GCD of 758, 724, 60, 865 using Prime Factorization

Given Input Data is 758, 724, 60, 865

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

Prime Factorization of 758 is 2 x 379

Prime Factorization of 724 is 2 x 2 x 181

Prime Factorization of 60 is 2 x 2 x 3 x 5

Prime Factorization of 865 is 5 x 173

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

Finding GCD of 758, 724, 60, 865 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, 724) = 274396

GCD(758, 724) = ( 758 x 724 ) / 274396

GCD(758, 724) = 548792 / 274396

GCD(758, 724) = 2


Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 60

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

LCM(2, 60) = 60

GCD(2, 60) = ( 2 x 60 ) / 60

GCD(2, 60) = 120 / 60

GCD(2, 60) = 2


Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 865

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

LCM(2, 865) = 1730

GCD(2, 865) = ( 2 x 865 ) / 1730

GCD(2, 865) = 1730 / 1730

GCD(2, 865) = 1

GCD of 758, 724, 60, 865 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 758, 724, 60, 865

1. What is the GCD of 758, 724, 60, 865?

GCD of 758, 724, 60, 865 is 1


2. Where do I get the detailed procedure to find GCD of 758, 724, 60, 865?

You can find a detailed procedure to find GCD of 758, 724, 60, 865 on our page.


3. How to find GCD of 758, 724, 60, 865 on a calculator?

You can find the GCD of 758, 724, 60, 865 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.