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, 838, 746, 137 i.e. 1 largest integer that divides all the numbers equally.
GCD of 124, 838, 746, 137 is 1
GCD(124, 838, 746, 137) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 124, 838, 746, 137 is 1
GCD(124, 838, 746, 137) = 1
Given Input numbers are 124, 838, 746, 137
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 838
List of positive integer divisors of 838 that divides 838 without a remainder.
1, 2, 419, 838
Divisors of 746
List of positive integer divisors of 746 that divides 746 without a remainder.
1, 2, 373, 746
Divisors of 137
List of positive integer divisors of 137 that divides 137 without a remainder.
1, 137
Greatest Common Divisior
We found the divisors of 124, 838, 746, 137 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 124, 838, 746, 137 is 1.
Therefore, GCD of numbers 124, 838, 746, 137 is 1
Given Input Data is 124, 838, 746, 137
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 838 is 2 x 419
Prime Factorization of 746 is 2 x 373
Prime Factorization of 137 is 137
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, 838) = 51956
GCD(124, 838) = ( 124 x 838 ) / 51956
GCD(124, 838) = 103912 / 51956
GCD(124, 838) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 746
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 746) = 746
GCD(2, 746) = ( 2 x 746 ) / 746
GCD(2, 746) = 1492 / 746
GCD(2, 746) = 2
Step3:
Here we consider the GCD from the above i.e. 2 as first number and the next as 137
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 137) = 274
GCD(2, 137) = ( 2 x 137 ) / 274
GCD(2, 137) = 274 / 274
GCD(2, 137) = 1
GCD of 124, 838, 746, 137 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 124, 838, 746, 137?
GCD of 124, 838, 746, 137 is 1
2. Where do I get the detailed procedure to find GCD of 124, 838, 746, 137?
You can find a detailed procedure to find GCD of 124, 838, 746, 137 on our page.
3. How to find GCD of 124, 838, 746, 137 on a calculator?
You can find the GCD of 124, 838, 746, 137 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.