GCD of 558, 155, 57, 972 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 558, 155, 57, 972 i.e. 1 largest integer that divides all the numbers equally.

GCD of 558, 155, 57, 972 is 1

GCD(558, 155, 57, 972) = 1

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

GCD of

GCD of numbers 558, 155, 57, 972 is 1

GCD(558, 155, 57, 972) = 1

GCD of 558,155,57,972 Calculator

GCDof 558,155,57,972 is 1

Given Input numbers are 558, 155, 57, 972

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

Divisors of 558

List of positive integer divisors of 558 that divides 558 without a remainder.

1, 2, 3, 6, 9, 18, 31, 62, 93, 186, 279, 558

Divisors of 155

List of positive integer divisors of 155 that divides 155 without a remainder.

1, 5, 31, 155

Divisors of 57

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

1, 3, 19, 57

Divisors of 972

List of positive integer divisors of 972 that divides 972 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 243, 324, 486, 972

Greatest Common Divisior

We found the divisors of 558, 155, 57, 972 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 558, 155, 57, 972 is 1.

Therefore, GCD of numbers 558, 155, 57, 972 is 1

Finding GCD of 558, 155, 57, 972 using Prime Factorization

Given Input Data is 558, 155, 57, 972

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

Prime Factorization of 558 is 2 x 3 x 3 x 31

Prime Factorization of 155 is 5 x 31

Prime Factorization of 57 is 3 x 19

Prime Factorization of 972 is 2 x 2 x 3 x 3 x 3 x 3 x 3

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

Finding GCD of 558, 155, 57, 972 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(558, 155) = 2790

GCD(558, 155) = ( 558 x 155 ) / 2790

GCD(558, 155) = 86490 / 2790

GCD(558, 155) = 31


Step2:

Here we consider the GCD from the above i.e. 31 as first number and the next as 57

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

LCM(31, 57) = 1767

GCD(31, 57) = ( 31 x 57 ) / 1767

GCD(31, 57) = 1767 / 1767

GCD(31, 57) = 1


Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 972

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

LCM(1, 972) = 972

GCD(1, 972) = ( 1 x 972 ) / 972

GCD(1, 972) = 972 / 972

GCD(1, 972) = 1

GCD of 558, 155, 57, 972 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 558, 155, 57, 972

1. What is the GCD of 558, 155, 57, 972?

GCD of 558, 155, 57, 972 is 1


2. Where do I get the detailed procedure to find GCD of 558, 155, 57, 972?

You can find a detailed procedure to find GCD of 558, 155, 57, 972 on our page.


3. How to find GCD of 558, 155, 57, 972 on a calculator?

You can find the GCD of 558, 155, 57, 972 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.