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 17, 371, 138, 951 i.e. 1 largest integer that divides all the numbers equally.
GCD of 17, 371, 138, 951 is 1
GCD(17, 371, 138, 951) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 17, 371, 138, 951 is 1
GCD(17, 371, 138, 951) = 1
Given Input numbers are 17, 371, 138, 951
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 17
List of positive integer divisors of 17 that divides 17 without a remainder.
1, 17
Divisors of 371
List of positive integer divisors of 371 that divides 371 without a remainder.
1, 7, 53, 371
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 951
List of positive integer divisors of 951 that divides 951 without a remainder.
1, 3, 317, 951
Greatest Common Divisior
We found the divisors of 17, 371, 138, 951 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 17, 371, 138, 951 is 1.
Therefore, GCD of numbers 17, 371, 138, 951 is 1
Given Input Data is 17, 371, 138, 951
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 17 is 17
Prime Factorization of 371 is 7 x 53
Prime Factorization of 138 is 2 x 3 x 23
Prime Factorization of 951 is 3 x 317
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(17, 371) = 6307
GCD(17, 371) = ( 17 x 371 ) / 6307
GCD(17, 371) = 6307 / 6307
GCD(17, 371) = 1
Step2:
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
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 951
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 951) = 951
GCD(1, 951) = ( 1 x 951 ) / 951
GCD(1, 951) = 951 / 951
GCD(1, 951) = 1
GCD of 17, 371, 138, 951 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 17, 371, 138, 951?
GCD of 17, 371, 138, 951 is 1
2. Where do I get the detailed procedure to find GCD of 17, 371, 138, 951?
You can find a detailed procedure to find GCD of 17, 371, 138, 951 on our page.
3. How to find GCD of 17, 371, 138, 951 on a calculator?
You can find the GCD of 17, 371, 138, 951 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.