GCD of 494, 772, 57, 425 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 494, 772, 57, 425 i.e. 1 largest integer that divides all the numbers equally.

GCD of 494, 772, 57, 425 is 1

GCD(494, 772, 57, 425) = 1

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

GCD of

GCD of numbers 494, 772, 57, 425 is 1

GCD(494, 772, 57, 425) = 1

GCD of 494,772,57,425 Calculator

GCDof 494,772,57,425 is 1

Given Input numbers are 494, 772, 57, 425

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

Divisors of 494

List of positive integer divisors of 494 that divides 494 without a remainder.

1, 2, 13, 19, 26, 38, 247, 494

Divisors of 772

List of positive integer divisors of 772 that divides 772 without a remainder.

1, 2, 4, 193, 386, 772

Divisors of 57

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

1, 3, 19, 57

Divisors of 425

List of positive integer divisors of 425 that divides 425 without a remainder.

1, 5, 17, 25, 85, 425

Greatest Common Divisior

We found the divisors of 494, 772, 57, 425 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 494, 772, 57, 425 is 1.

Therefore, GCD of numbers 494, 772, 57, 425 is 1

Finding GCD of 494, 772, 57, 425 using Prime Factorization

Given Input Data is 494, 772, 57, 425

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

Prime Factorization of 494 is 2 x 13 x 19

Prime Factorization of 772 is 2 x 2 x 193

Prime Factorization of 57 is 3 x 19

Prime Factorization of 425 is 5 x 5 x 17

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

Finding GCD of 494, 772, 57, 425 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(494, 772) = 190684

GCD(494, 772) = ( 494 x 772 ) / 190684

GCD(494, 772) = 381368 / 190684

GCD(494, 772) = 2


Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 57

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

LCM(2, 57) = 114

GCD(2, 57) = ( 2 x 57 ) / 114

GCD(2, 57) = 114 / 114

GCD(2, 57) = 1


Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 425

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

LCM(1, 425) = 425

GCD(1, 425) = ( 1 x 425 ) / 425

GCD(1, 425) = 425 / 425

GCD(1, 425) = 1

GCD of 494, 772, 57, 425 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 494, 772, 57, 425

1. What is the GCD of 494, 772, 57, 425?

GCD of 494, 772, 57, 425 is 1


2. Where do I get the detailed procedure to find GCD of 494, 772, 57, 425?

You can find a detailed procedure to find GCD of 494, 772, 57, 425 on our page.


3. How to find GCD of 494, 772, 57, 425 on a calculator?

You can find the GCD of 494, 772, 57, 425 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.