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 38, 712, 411, 124 i.e. 1 largest integer that divides all the numbers equally.
GCD of 38, 712, 411, 124 is 1
GCD(38, 712, 411, 124) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 38, 712, 411, 124 is 1
GCD(38, 712, 411, 124) = 1
Given Input numbers are 38, 712, 411, 124
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 38
List of positive integer divisors of 38 that divides 38 without a remainder.
1, 2, 19, 38
Divisors of 712
List of positive integer divisors of 712 that divides 712 without a remainder.
1, 2, 4, 8, 89, 178, 356, 712
Divisors of 411
List of positive integer divisors of 411 that divides 411 without a remainder.
1, 3, 137, 411
Divisors of 124
List of positive integer divisors of 124 that divides 124 without a remainder.
1, 2, 4, 31, 62, 124
Greatest Common Divisior
We found the divisors of 38, 712, 411, 124 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 38, 712, 411, 124 is 1.
Therefore, GCD of numbers 38, 712, 411, 124 is 1
Given Input Data is 38, 712, 411, 124
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 38 is 2 x 19
Prime Factorization of 712 is 2 x 2 x 2 x 89
Prime Factorization of 411 is 3 x 137
Prime Factorization of 124 is 2 x 2 x 31
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(38, 712) = 13528
GCD(38, 712) = ( 38 x 712 ) / 13528
GCD(38, 712) = 27056 / 13528
GCD(38, 712) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 411
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 411) = 822
GCD(2, 411) = ( 2 x 411 ) / 822
GCD(2, 411) = 822 / 822
GCD(2, 411) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 124
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 124) = 124
GCD(1, 124) = ( 1 x 124 ) / 124
GCD(1, 124) = 124 / 124
GCD(1, 124) = 1
GCD of 38, 712, 411, 124 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 38, 712, 411, 124?
GCD of 38, 712, 411, 124 is 1
2. Where do I get the detailed procedure to find GCD of 38, 712, 411, 124?
You can find a detailed procedure to find GCD of 38, 712, 411, 124 on our page.
3. How to find GCD of 38, 712, 411, 124 on a calculator?
You can find the GCD of 38, 712, 411, 124 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.