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, 290, 71, 129 i.e. 1 largest integer that divides all the numbers equally.
GCD of 124, 290, 71, 129 is 1
GCD(124, 290, 71, 129) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 124, 290, 71, 129 is 1
GCD(124, 290, 71, 129) = 1
Given Input numbers are 124, 290, 71, 129
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 290
List of positive integer divisors of 290 that divides 290 without a remainder.
1, 2, 5, 10, 29, 58, 145, 290
Divisors of 71
List of positive integer divisors of 71 that divides 71 without a remainder.
1, 71
Divisors of 129
List of positive integer divisors of 129 that divides 129 without a remainder.
1, 3, 43, 129
Greatest Common Divisior
We found the divisors of 124, 290, 71, 129 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 124, 290, 71, 129 is 1.
Therefore, GCD of numbers 124, 290, 71, 129 is 1
Given Input Data is 124, 290, 71, 129
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 290 is 2 x 5 x 29
Prime Factorization of 71 is 71
Prime Factorization of 129 is 3 x 43
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, 290) = 17980
GCD(124, 290) = ( 124 x 290 ) / 17980
GCD(124, 290) = 35960 / 17980
GCD(124, 290) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 71
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 71) = 142
GCD(2, 71) = ( 2 x 71 ) / 142
GCD(2, 71) = 142 / 142
GCD(2, 71) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 129
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 129) = 129
GCD(1, 129) = ( 1 x 129 ) / 129
GCD(1, 129) = 129 / 129
GCD(1, 129) = 1
GCD of 124, 290, 71, 129 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 124, 290, 71, 129?
GCD of 124, 290, 71, 129 is 1
2. Where do I get the detailed procedure to find GCD of 124, 290, 71, 129?
You can find a detailed procedure to find GCD of 124, 290, 71, 129 on our page.
3. How to find GCD of 124, 290, 71, 129 on a calculator?
You can find the GCD of 124, 290, 71, 129 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.