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, 925, 671, 797 i.e. 1 largest integer that divides all the numbers equally.
GCD of 138, 925, 671, 797 is 1
GCD(138, 925, 671, 797) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 138, 925, 671, 797 is 1
GCD(138, 925, 671, 797) = 1
Given Input numbers are 138, 925, 671, 797
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 925
List of positive integer divisors of 925 that divides 925 without a remainder.
1, 5, 25, 37, 185, 925
Divisors of 671
List of positive integer divisors of 671 that divides 671 without a remainder.
1, 11, 61, 671
Divisors of 797
List of positive integer divisors of 797 that divides 797 without a remainder.
1, 797
Greatest Common Divisior
We found the divisors of 138, 925, 671, 797 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 138, 925, 671, 797 is 1.
Therefore, GCD of numbers 138, 925, 671, 797 is 1
Given Input Data is 138, 925, 671, 797
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 925 is 5 x 5 x 37
Prime Factorization of 671 is 11 x 61
Prime Factorization of 797 is 797
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, 925) = 127650
GCD(138, 925) = ( 138 x 925 ) / 127650
GCD(138, 925) = 127650 / 127650
GCD(138, 925) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 671
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 671) = 671
GCD(1, 671) = ( 1 x 671 ) / 671
GCD(1, 671) = 671 / 671
GCD(1, 671) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 797
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 797) = 797
GCD(1, 797) = ( 1 x 797 ) / 797
GCD(1, 797) = 797 / 797
GCD(1, 797) = 1
GCD of 138, 925, 671, 797 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 138, 925, 671, 797?
GCD of 138, 925, 671, 797 is 1
2. Where do I get the detailed procedure to find GCD of 138, 925, 671, 797?
You can find a detailed procedure to find GCD of 138, 925, 671, 797 on our page.
3. How to find GCD of 138, 925, 671, 797 on a calculator?
You can find the GCD of 138, 925, 671, 797 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.