GCD of 57, 997, 193, 264 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, 997, 193, 264 i.e. 1 largest integer that divides all the numbers equally.

GCD of 57, 997, 193, 264 is 1

GCD(57, 997, 193, 264) = 1

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

GCD of

GCD of numbers 57, 997, 193, 264 is 1

GCD(57, 997, 193, 264) = 1

GCD of 57,997,193,264 Calculator

GCDof 57,997,193,264 is 1

Given Input numbers are 57, 997, 193, 264

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 997

List of positive integer divisors of 997 that divides 997 without a remainder.

1, 997

Divisors of 193

List of positive integer divisors of 193 that divides 193 without a remainder.

1, 193

Divisors of 264

List of positive integer divisors of 264 that divides 264 without a remainder.

1, 2, 3, 4, 6, 8, 11, 12, 22, 24, 33, 44, 66, 88, 132, 264

Greatest Common Divisior

We found the divisors of 57, 997, 193, 264 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 57, 997, 193, 264 is 1.

Therefore, GCD of numbers 57, 997, 193, 264 is 1

Finding GCD of 57, 997, 193, 264 using Prime Factorization

Given Input Data is 57, 997, 193, 264

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

Prime Factorization of 57 is 3 x 19

Prime Factorization of 997 is 997

Prime Factorization of 193 is 193

Prime Factorization of 264 is 2 x 2 x 2 x 3 x 11

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

Finding GCD of 57, 997, 193, 264 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, 997) = 56829

GCD(57, 997) = ( 57 x 997 ) / 56829

GCD(57, 997) = 56829 / 56829

GCD(57, 997) = 1


Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 193

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

LCM(1, 193) = 193

GCD(1, 193) = ( 1 x 193 ) / 193

GCD(1, 193) = 193 / 193

GCD(1, 193) = 1


Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 264

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

LCM(1, 264) = 264

GCD(1, 264) = ( 1 x 264 ) / 264

GCD(1, 264) = 264 / 264

GCD(1, 264) = 1

GCD of 57, 997, 193, 264 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 57, 997, 193, 264

1. What is the GCD of 57, 997, 193, 264?

GCD of 57, 997, 193, 264 is 1


2. Where do I get the detailed procedure to find GCD of 57, 997, 193, 264?

You can find a detailed procedure to find GCD of 57, 997, 193, 264 on our page.


3. How to find GCD of 57, 997, 193, 264 on a calculator?

You can find the GCD of 57, 997, 193, 264 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.