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 250, 361, 797, 172 i.e. 1 largest integer that divides all the numbers equally.
GCD of 250, 361, 797, 172 is 1
GCD(250, 361, 797, 172) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 250, 361, 797, 172 is 1
GCD(250, 361, 797, 172) = 1
Given Input numbers are 250, 361, 797, 172
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 250
List of positive integer divisors of 250 that divides 250 without a remainder.
1, 2, 5, 10, 25, 50, 125, 250
Divisors of 361
List of positive integer divisors of 361 that divides 361 without a remainder.
1, 19, 361
Divisors of 797
List of positive integer divisors of 797 that divides 797 without a remainder.
1, 797
Divisors of 172
List of positive integer divisors of 172 that divides 172 without a remainder.
1, 2, 4, 43, 86, 172
Greatest Common Divisior
We found the divisors of 250, 361, 797, 172 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 250, 361, 797, 172 is 1.
Therefore, GCD of numbers 250, 361, 797, 172 is 1
Given Input Data is 250, 361, 797, 172
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 250 is 2 x 5 x 5 x 5
Prime Factorization of 361 is 19 x 19
Prime Factorization of 797 is 797
Prime Factorization of 172 is 2 x 2 x 43
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(250, 361) = 90250
GCD(250, 361) = ( 250 x 361 ) / 90250
GCD(250, 361) = 90250 / 90250
GCD(250, 361) = 1
Step2:
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
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 172
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 172) = 172
GCD(1, 172) = ( 1 x 172 ) / 172
GCD(1, 172) = 172 / 172
GCD(1, 172) = 1
GCD of 250, 361, 797, 172 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 250, 361, 797, 172?
GCD of 250, 361, 797, 172 is 1
2. Where do I get the detailed procedure to find GCD of 250, 361, 797, 172?
You can find a detailed procedure to find GCD of 250, 361, 797, 172 on our page.
3. How to find GCD of 250, 361, 797, 172 on a calculator?
You can find the GCD of 250, 361, 797, 172 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.