GCD of 57, 332, 743, 697 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, 332, 743, 697 i.e. 1 largest integer that divides all the numbers equally.

GCD of 57, 332, 743, 697 is 1

GCD(57, 332, 743, 697) = 1

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

GCD of

GCD of numbers 57, 332, 743, 697 is 1

GCD(57, 332, 743, 697) = 1

GCD of 57,332,743,697 Calculator

GCDof 57,332,743,697 is 1

Given Input numbers are 57, 332, 743, 697

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 332

List of positive integer divisors of 332 that divides 332 without a remainder.

1, 2, 4, 83, 166, 332

Divisors of 743

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

1, 743

Divisors of 697

List of positive integer divisors of 697 that divides 697 without a remainder.

1, 17, 41, 697

Greatest Common Divisior

We found the divisors of 57, 332, 743, 697 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 57, 332, 743, 697 is 1.

Therefore, GCD of numbers 57, 332, 743, 697 is 1

Finding GCD of 57, 332, 743, 697 using Prime Factorization

Given Input Data is 57, 332, 743, 697

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

Prime Factorization of 57 is 3 x 19

Prime Factorization of 332 is 2 x 2 x 83

Prime Factorization of 743 is 743

Prime Factorization of 697 is 17 x 41

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

Finding GCD of 57, 332, 743, 697 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, 332) = 18924

GCD(57, 332) = ( 57 x 332 ) / 18924

GCD(57, 332) = 18924 / 18924

GCD(57, 332) = 1


Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 743

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

LCM(1, 743) = 743

GCD(1, 743) = ( 1 x 743 ) / 743

GCD(1, 743) = 743 / 743

GCD(1, 743) = 1


Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 697

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

LCM(1, 697) = 697

GCD(1, 697) = ( 1 x 697 ) / 697

GCD(1, 697) = 697 / 697

GCD(1, 697) = 1

GCD of 57, 332, 743, 697 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 57, 332, 743, 697

1. What is the GCD of 57, 332, 743, 697?

GCD of 57, 332, 743, 697 is 1


2. Where do I get the detailed procedure to find GCD of 57, 332, 743, 697?

You can find a detailed procedure to find GCD of 57, 332, 743, 697 on our page.


3. How to find GCD of 57, 332, 743, 697 on a calculator?

You can find the GCD of 57, 332, 743, 697 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.