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, 808, 120, 315 i.e. 1 largest integer that divides all the numbers equally.
GCD of 124, 808, 120, 315 is 1
GCD(124, 808, 120, 315) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 124, 808, 120, 315 is 1
GCD(124, 808, 120, 315) = 1
Given Input numbers are 124, 808, 120, 315
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 808
List of positive integer divisors of 808 that divides 808 without a remainder.
1, 2, 4, 8, 101, 202, 404, 808
Divisors of 120
List of positive integer divisors of 120 that divides 120 without a remainder.
1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120
Divisors of 315
List of positive integer divisors of 315 that divides 315 without a remainder.
1, 3, 5, 7, 9, 15, 21, 35, 45, 63, 105, 315
Greatest Common Divisior
We found the divisors of 124, 808, 120, 315 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 124, 808, 120, 315 is 1.
Therefore, GCD of numbers 124, 808, 120, 315 is 1
Given Input Data is 124, 808, 120, 315
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 808 is 2 x 2 x 2 x 101
Prime Factorization of 120 is 2 x 2 x 2 x 3 x 5
Prime Factorization of 315 is 3 x 3 x 5 x 7
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(124, 808) = 25048
GCD(124, 808) = ( 124 x 808 ) / 25048
GCD(124, 808) = 100192 / 25048
GCD(124, 808) = 4
Step2:
Here we consider the GCD from the above i.e. 4 as first number and the next as 120
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(4, 120) = 120
GCD(4, 120) = ( 4 x 120 ) / 120
GCD(4, 120) = 480 / 120
GCD(4, 120) = 4
Step3:
Here we consider the GCD from the above i.e. 4 as first number and the next as 315
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(4, 315) = 1260
GCD(4, 315) = ( 4 x 315 ) / 1260
GCD(4, 315) = 1260 / 1260
GCD(4, 315) = 1
GCD of 124, 808, 120, 315 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 124, 808, 120, 315?
GCD of 124, 808, 120, 315 is 1
2. Where do I get the detailed procedure to find GCD of 124, 808, 120, 315?
You can find a detailed procedure to find GCD of 124, 808, 120, 315 on our page.
3. How to find GCD of 124, 808, 120, 315 on a calculator?
You can find the GCD of 124, 808, 120, 315 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.