GCD of 57, 743, 142, 767 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, 743, 142, 767 i.e. 1 largest integer that divides all the numbers equally.

GCD of 57, 743, 142, 767 is 1

GCD(57, 743, 142, 767) = 1

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

GCD of

GCD of numbers 57, 743, 142, 767 is 1

GCD(57, 743, 142, 767) = 1

GCD of 57,743,142,767 Calculator

GCDof 57,743,142,767 is 1

Given Input numbers are 57, 743, 142, 767

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 743

List of positive integer divisors of 743 that divides 743 without a remainder.

1, 743

Divisors of 142

List of positive integer divisors of 142 that divides 142 without a remainder.

1, 2, 71, 142

Divisors of 767

List of positive integer divisors of 767 that divides 767 without a remainder.

1, 13, 59, 767

Greatest Common Divisior

We found the divisors of 57, 743, 142, 767 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 57, 743, 142, 767 is 1.

Therefore, GCD of numbers 57, 743, 142, 767 is 1

Finding GCD of 57, 743, 142, 767 using Prime Factorization

Given Input Data is 57, 743, 142, 767

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

Prime Factorization of 57 is 3 x 19

Prime Factorization of 743 is 743

Prime Factorization of 142 is 2 x 71

Prime Factorization of 767 is 13 x 59

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

Finding GCD of 57, 743, 142, 767 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, 743) = 42351

GCD(57, 743) = ( 57 x 743 ) / 42351

GCD(57, 743) = 42351 / 42351

GCD(57, 743) = 1


Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 142

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

LCM(1, 142) = 142

GCD(1, 142) = ( 1 x 142 ) / 142

GCD(1, 142) = 142 / 142

GCD(1, 142) = 1


Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 767

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

LCM(1, 767) = 767

GCD(1, 767) = ( 1 x 767 ) / 767

GCD(1, 767) = 767 / 767

GCD(1, 767) = 1

GCD of 57, 743, 142, 767 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 57, 743, 142, 767

1. What is the GCD of 57, 743, 142, 767?

GCD of 57, 743, 142, 767 is 1


2. Where do I get the detailed procedure to find GCD of 57, 743, 142, 767?

You can find a detailed procedure to find GCD of 57, 743, 142, 767 on our page.


3. How to find GCD of 57, 743, 142, 767 on a calculator?

You can find the GCD of 57, 743, 142, 767 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.