GCD of 57, 424, 781, 462 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 57, 424, 781, 462 i.e. 1 largest integer that divides all the numbers equally.

GCD of 57, 424, 781, 462 is 1

GCD(57, 424, 781, 462) = 1

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

GCD of

GCD of numbers 57, 424, 781, 462 is 1

GCD(57, 424, 781, 462) = 1

GCD of 57,424,781,462 Calculator

GCDof 57,424,781,462 is 1

Given Input numbers are 57, 424, 781, 462

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

Divisors of 57

List of positive integer divisors of 57 that divides 57 without a remainder.

1, 3, 19, 57

Divisors of 424

List of positive integer divisors of 424 that divides 424 without a remainder.

1, 2, 4, 8, 53, 106, 212, 424

Divisors of 781

List of positive integer divisors of 781 that divides 781 without a remainder.

1, 11, 71, 781

Divisors of 462

List of positive integer divisors of 462 that divides 462 without a remainder.

1, 2, 3, 6, 7, 11, 14, 21, 22, 33, 42, 66, 77, 154, 231, 462

Greatest Common Divisior

We found the divisors of 57, 424, 781, 462 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 57, 424, 781, 462 is 1.

Therefore, GCD of numbers 57, 424, 781, 462 is 1

Finding GCD of 57, 424, 781, 462 using Prime Factorization

Given Input Data is 57, 424, 781, 462

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

Prime Factorization of 57 is 3 x 19

Prime Factorization of 424 is 2 x 2 x 2 x 53

Prime Factorization of 781 is 11 x 71

Prime Factorization of 462 is 2 x 3 x 7 x 11

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

Finding GCD of 57, 424, 781, 462 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(57, 424) = 24168

GCD(57, 424) = ( 57 x 424 ) / 24168

GCD(57, 424) = 24168 / 24168

GCD(57, 424) = 1


Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 781

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

LCM(1, 781) = 781

GCD(1, 781) = ( 1 x 781 ) / 781

GCD(1, 781) = 781 / 781

GCD(1, 781) = 1


Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 462

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

LCM(1, 462) = 462

GCD(1, 462) = ( 1 x 462 ) / 462

GCD(1, 462) = 462 / 462

GCD(1, 462) = 1

GCD of 57, 424, 781, 462 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 57, 424, 781, 462

1. What is the GCD of 57, 424, 781, 462?

GCD of 57, 424, 781, 462 is 1


2. Where do I get the detailed procedure to find GCD of 57, 424, 781, 462?

You can find a detailed procedure to find GCD of 57, 424, 781, 462 on our page.


3. How to find GCD of 57, 424, 781, 462 on a calculator?

You can find the GCD of 57, 424, 781, 462 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.