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 72, 149, 817, 558 i.e. 1 largest integer that divides all the numbers equally.
GCD of 72, 149, 817, 558 is 1
GCD(72, 149, 817, 558) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 72, 149, 817, 558 is 1
GCD(72, 149, 817, 558) = 1
Given Input numbers are 72, 149, 817, 558
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 72
List of positive integer divisors of 72 that divides 72 without a remainder.
1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72
Divisors of 149
List of positive integer divisors of 149 that divides 149 without a remainder.
1, 149
Divisors of 817
List of positive integer divisors of 817 that divides 817 without a remainder.
1, 19, 43, 817
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
Greatest Common Divisior
We found the divisors of 72, 149, 817, 558 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 72, 149, 817, 558 is 1.
Therefore, GCD of numbers 72, 149, 817, 558 is 1
Given Input Data is 72, 149, 817, 558
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 72 is 2 x 2 x 2 x 3 x 3
Prime Factorization of 149 is 149
Prime Factorization of 817 is 19 x 43
Prime Factorization of 558 is 2 x 3 x 3 x 31
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(72, 149) = 10728
GCD(72, 149) = ( 72 x 149 ) / 10728
GCD(72, 149) = 10728 / 10728
GCD(72, 149) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 817
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 817) = 817
GCD(1, 817) = ( 1 x 817 ) / 817
GCD(1, 817) = 817 / 817
GCD(1, 817) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 558
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 558) = 558
GCD(1, 558) = ( 1 x 558 ) / 558
GCD(1, 558) = 558 / 558
GCD(1, 558) = 1
GCD of 72, 149, 817, 558 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 72, 149, 817, 558?
GCD of 72, 149, 817, 558 is 1
2. Where do I get the detailed procedure to find GCD of 72, 149, 817, 558?
You can find a detailed procedure to find GCD of 72, 149, 817, 558 on our page.
3. How to find GCD of 72, 149, 817, 558 on a calculator?
You can find the GCD of 72, 149, 817, 558 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.