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 124, 580, 902 i.e. 2 largest integer that divides all the numbers equally.
GCD of 124, 580, 902 is 2
GCD(124, 580, 902) = 2
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 124, 580, 902 is 2
GCD(124, 580, 902) = 2
Given Input numbers are 124, 580, 902
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 124
List of positive integer divisors of 124 that divides 124 without a remainder.
1, 2, 4, 31, 62, 124
Divisors of 580
List of positive integer divisors of 580 that divides 580 without a remainder.
1, 2, 4, 5, 10, 20, 29, 58, 116, 145, 290, 580
Divisors of 902
List of positive integer divisors of 902 that divides 902 without a remainder.
1, 2, 11, 22, 41, 82, 451, 902
Greatest Common Divisior
We found the divisors of 124, 580, 902 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 124, 580, 902 is 2.
Therefore, GCD of numbers 124, 580, 902 is 2
Given Input Data is 124, 580, 902
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 124 is 2 x 2 x 31
Prime Factorization of 580 is 2 x 2 x 5 x 29
Prime Factorization of 902 is 2 x 11 x 41
Highest common occurrences in the given inputs are 21
Multiplying them we get the GCD as 2
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(124, 580) = 17980
GCD(124, 580) = ( 124 x 580 ) / 17980
GCD(124, 580) = 71920 / 17980
GCD(124, 580) = 4
Step2:
Here we consider the GCD from the above i.e. 4 as first number and the next as 902
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(4, 902) = 1804
GCD(4, 902) = ( 4 x 902 ) / 1804
GCD(4, 902) = 3608 / 1804
GCD(4, 902) = 2
GCD of 124, 580, 902 is 2
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 124, 580, 902?
GCD of 124, 580, 902 is 2
2. Where do I get the detailed procedure to find GCD of 124, 580, 902?
You can find a detailed procedure to find GCD of 124, 580, 902 on our page.
3. How to find GCD of 124, 580, 902 on a calculator?
You can find the GCD of 124, 580, 902 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.