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 13, 487, 938, 138 i.e. 1 largest integer that divides all the numbers equally.
GCD of 13, 487, 938, 138 is 1
GCD(13, 487, 938, 138) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 13, 487, 938, 138 is 1
GCD(13, 487, 938, 138) = 1
Given Input numbers are 13, 487, 938, 138
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 13
List of positive integer divisors of 13 that divides 13 without a remainder.
1, 13
Divisors of 487
List of positive integer divisors of 487 that divides 487 without a remainder.
1, 487
Divisors of 938
List of positive integer divisors of 938 that divides 938 without a remainder.
1, 2, 7, 14, 67, 134, 469, 938
Divisors of 138
List of positive integer divisors of 138 that divides 138 without a remainder.
1, 2, 3, 6, 23, 46, 69, 138
Greatest Common Divisior
We found the divisors of 13, 487, 938, 138 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 13, 487, 938, 138 is 1.
Therefore, GCD of numbers 13, 487, 938, 138 is 1
Given Input Data is 13, 487, 938, 138
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 13 is 13
Prime Factorization of 487 is 487
Prime Factorization of 938 is 2 x 7 x 67
Prime Factorization of 138 is 2 x 3 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(13, 487) = 6331
GCD(13, 487) = ( 13 x 487 ) / 6331
GCD(13, 487) = 6331 / 6331
GCD(13, 487) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 938
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 938) = 938
GCD(1, 938) = ( 1 x 938 ) / 938
GCD(1, 938) = 938 / 938
GCD(1, 938) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 138
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 138) = 138
GCD(1, 138) = ( 1 x 138 ) / 138
GCD(1, 138) = 138 / 138
GCD(1, 138) = 1
GCD of 13, 487, 938, 138 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 13, 487, 938, 138?
GCD of 13, 487, 938, 138 is 1
2. Where do I get the detailed procedure to find GCD of 13, 487, 938, 138?
You can find a detailed procedure to find GCD of 13, 487, 938, 138 on our page.
3. How to find GCD of 13, 487, 938, 138 on a calculator?
You can find the GCD of 13, 487, 938, 138 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.