GCD of 742, 857, 478, 764 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 742, 857, 478, 764 i.e. 1 largest integer that divides all the numbers equally.

GCD of 742, 857, 478, 764 is 1

GCD(742, 857, 478, 764) = 1

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

GCD of

GCD of numbers 742, 857, 478, 764 is 1

GCD(742, 857, 478, 764) = 1

GCD of 742,857,478,764 Calculator

GCDof 742,857,478,764 is 1

Given Input numbers are 742, 857, 478, 764

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

Divisors of 742

List of positive integer divisors of 742 that divides 742 without a remainder.

1, 2, 7, 14, 53, 106, 371, 742

Divisors of 857

List of positive integer divisors of 857 that divides 857 without a remainder.

1, 857

Divisors of 478

List of positive integer divisors of 478 that divides 478 without a remainder.

1, 2, 239, 478

Divisors of 764

List of positive integer divisors of 764 that divides 764 without a remainder.

1, 2, 4, 191, 382, 764

Greatest Common Divisior

We found the divisors of 742, 857, 478, 764 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 742, 857, 478, 764 is 1.

Therefore, GCD of numbers 742, 857, 478, 764 is 1

Finding GCD of 742, 857, 478, 764 using Prime Factorization

Given Input Data is 742, 857, 478, 764

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

Prime Factorization of 742 is 2 x 7 x 53

Prime Factorization of 857 is 857

Prime Factorization of 478 is 2 x 239

Prime Factorization of 764 is 2 x 2 x 191

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

Finding GCD of 742, 857, 478, 764 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(742, 857) = 635894

GCD(742, 857) = ( 742 x 857 ) / 635894

GCD(742, 857) = 635894 / 635894

GCD(742, 857) = 1


Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 478

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

LCM(1, 478) = 478

GCD(1, 478) = ( 1 x 478 ) / 478

GCD(1, 478) = 478 / 478

GCD(1, 478) = 1


Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 764

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

LCM(1, 764) = 764

GCD(1, 764) = ( 1 x 764 ) / 764

GCD(1, 764) = 764 / 764

GCD(1, 764) = 1

GCD of 742, 857, 478, 764 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 742, 857, 478, 764

1. What is the GCD of 742, 857, 478, 764?

GCD of 742, 857, 478, 764 is 1


2. Where do I get the detailed procedure to find GCD of 742, 857, 478, 764?

You can find a detailed procedure to find GCD of 742, 857, 478, 764 on our page.


3. How to find GCD of 742, 857, 478, 764 on a calculator?

You can find the GCD of 742, 857, 478, 764 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.