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 90, 179, 507, 908 i.e. 1 largest integer that divides all the numbers equally.
GCD of 90, 179, 507, 908 is 1
GCD(90, 179, 507, 908) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 90, 179, 507, 908 is 1
GCD(90, 179, 507, 908) = 1
Given Input numbers are 90, 179, 507, 908
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 90
List of positive integer divisors of 90 that divides 90 without a remainder.
1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 90
Divisors of 179
List of positive integer divisors of 179 that divides 179 without a remainder.
1, 179
Divisors of 507
List of positive integer divisors of 507 that divides 507 without a remainder.
1, 3, 13, 39, 169, 507
Divisors of 908
List of positive integer divisors of 908 that divides 908 without a remainder.
1, 2, 4, 227, 454, 908
Greatest Common Divisior
We found the divisors of 90, 179, 507, 908 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 90, 179, 507, 908 is 1.
Therefore, GCD of numbers 90, 179, 507, 908 is 1
Given Input Data is 90, 179, 507, 908
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 90 is 2 x 3 x 3 x 5
Prime Factorization of 179 is 179
Prime Factorization of 507 is 3 x 13 x 13
Prime Factorization of 908 is 2 x 2 x 227
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(90, 179) = 16110
GCD(90, 179) = ( 90 x 179 ) / 16110
GCD(90, 179) = 16110 / 16110
GCD(90, 179) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 507
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 507) = 507
GCD(1, 507) = ( 1 x 507 ) / 507
GCD(1, 507) = 507 / 507
GCD(1, 507) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 908
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 908) = 908
GCD(1, 908) = ( 1 x 908 ) / 908
GCD(1, 908) = 908 / 908
GCD(1, 908) = 1
GCD of 90, 179, 507, 908 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 90, 179, 507, 908?
GCD of 90, 179, 507, 908 is 1
2. Where do I get the detailed procedure to find GCD of 90, 179, 507, 908?
You can find a detailed procedure to find GCD of 90, 179, 507, 908 on our page.
3. How to find GCD of 90, 179, 507, 908 on a calculator?
You can find the GCD of 90, 179, 507, 908 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.