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, 368, 812, 115 i.e. 1 largest integer that divides all the numbers equally.
GCD of 124, 368, 812, 115 is 1
GCD(124, 368, 812, 115) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 124, 368, 812, 115 is 1
GCD(124, 368, 812, 115) = 1
Given Input numbers are 124, 368, 812, 115
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 368
List of positive integer divisors of 368 that divides 368 without a remainder.
1, 2, 4, 8, 16, 23, 46, 92, 184, 368
Divisors of 812
List of positive integer divisors of 812 that divides 812 without a remainder.
1, 2, 4, 7, 14, 28, 29, 58, 116, 203, 406, 812
Divisors of 115
List of positive integer divisors of 115 that divides 115 without a remainder.
1, 5, 23, 115
Greatest Common Divisior
We found the divisors of 124, 368, 812, 115 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 124, 368, 812, 115 is 1.
Therefore, GCD of numbers 124, 368, 812, 115 is 1
Given Input Data is 124, 368, 812, 115
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 368 is 2 x 2 x 2 x 2 x 23
Prime Factorization of 812 is 2 x 2 x 7 x 29
Prime Factorization of 115 is 5 x 23
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, 368) = 11408
GCD(124, 368) = ( 124 x 368 ) / 11408
GCD(124, 368) = 45632 / 11408
GCD(124, 368) = 4
Step2:
Here we consider the GCD from the above i.e. 4 as first number and the next as 812
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(4, 812) = 812
GCD(4, 812) = ( 4 x 812 ) / 812
GCD(4, 812) = 3248 / 812
GCD(4, 812) = 4
Step3:
Here we consider the GCD from the above i.e. 4 as first number and the next as 115
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(4, 115) = 460
GCD(4, 115) = ( 4 x 115 ) / 460
GCD(4, 115) = 460 / 460
GCD(4, 115) = 1
GCD of 124, 368, 812, 115 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 124, 368, 812, 115?
GCD of 124, 368, 812, 115 is 1
2. Where do I get the detailed procedure to find GCD of 124, 368, 812, 115?
You can find a detailed procedure to find GCD of 124, 368, 812, 115 on our page.
3. How to find GCD of 124, 368, 812, 115 on a calculator?
You can find the GCD of 124, 368, 812, 115 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.