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 numbers 558, 155, 57, 972 is 1
GCD(558, 155, 57, 972) = 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
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
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
Here are some samples of GCD of Numbers calculations.
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.