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 138, 677, 236, 238 i.e. 1 largest integer that divides all the numbers equally.
GCD of 138, 677, 236, 238 is 1
GCD(138, 677, 236, 238) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 138, 677, 236, 238 is 1
GCD(138, 677, 236, 238) = 1
Given Input numbers are 138, 677, 236, 238
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 138
List of positive integer divisors of 138 that divides 138 without a remainder.
1, 2, 3, 6, 23, 46, 69, 138
Divisors of 677
List of positive integer divisors of 677 that divides 677 without a remainder.
1, 677
Divisors of 236
List of positive integer divisors of 236 that divides 236 without a remainder.
1, 2, 4, 59, 118, 236
Divisors of 238
List of positive integer divisors of 238 that divides 238 without a remainder.
1, 2, 7, 14, 17, 34, 119, 238
Greatest Common Divisior
We found the divisors of 138, 677, 236, 238 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 138, 677, 236, 238 is 1.
Therefore, GCD of numbers 138, 677, 236, 238 is 1
Given Input Data is 138, 677, 236, 238
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 138 is 2 x 3 x 23
Prime Factorization of 677 is 677
Prime Factorization of 236 is 2 x 2 x 59
Prime Factorization of 238 is 2 x 7 x 17
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(138, 677) = 93426
GCD(138, 677) = ( 138 x 677 ) / 93426
GCD(138, 677) = 93426 / 93426
GCD(138, 677) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 236
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 236) = 236
GCD(1, 236) = ( 1 x 236 ) / 236
GCD(1, 236) = 236 / 236
GCD(1, 236) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 238
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 238) = 238
GCD(1, 238) = ( 1 x 238 ) / 238
GCD(1, 238) = 238 / 238
GCD(1, 238) = 1
GCD of 138, 677, 236, 238 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 138, 677, 236, 238?
GCD of 138, 677, 236, 238 is 1
2. Where do I get the detailed procedure to find GCD of 138, 677, 236, 238?
You can find a detailed procedure to find GCD of 138, 677, 236, 238 on our page.
3. How to find GCD of 138, 677, 236, 238 on a calculator?
You can find the GCD of 138, 677, 236, 238 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.