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 173, 251, 72, 272 i.e. 1 largest integer that divides all the numbers equally.
GCD of 173, 251, 72, 272 is 1
GCD(173, 251, 72, 272) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 173, 251, 72, 272 is 1
GCD(173, 251, 72, 272) = 1
Given Input numbers are 173, 251, 72, 272
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 173
List of positive integer divisors of 173 that divides 173 without a remainder.
1, 173
Divisors of 251
List of positive integer divisors of 251 that divides 251 without a remainder.
1, 251
Divisors of 72
List of positive integer divisors of 72 that divides 72 without a remainder.
1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72
Divisors of 272
List of positive integer divisors of 272 that divides 272 without a remainder.
1, 2, 4, 8, 16, 17, 34, 68, 136, 272
Greatest Common Divisior
We found the divisors of 173, 251, 72, 272 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 173, 251, 72, 272 is 1.
Therefore, GCD of numbers 173, 251, 72, 272 is 1
Given Input Data is 173, 251, 72, 272
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 173 is 173
Prime Factorization of 251 is 251
Prime Factorization of 72 is 2 x 2 x 2 x 3 x 3
Prime Factorization of 272 is 2 x 2 x 2 x 2 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(173, 251) = 43423
GCD(173, 251) = ( 173 x 251 ) / 43423
GCD(173, 251) = 43423 / 43423
GCD(173, 251) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 72
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 72) = 72
GCD(1, 72) = ( 1 x 72 ) / 72
GCD(1, 72) = 72 / 72
GCD(1, 72) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 272
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 272) = 272
GCD(1, 272) = ( 1 x 272 ) / 272
GCD(1, 272) = 272 / 272
GCD(1, 272) = 1
GCD of 173, 251, 72, 272 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 173, 251, 72, 272?
GCD of 173, 251, 72, 272 is 1
2. Where do I get the detailed procedure to find GCD of 173, 251, 72, 272?
You can find a detailed procedure to find GCD of 173, 251, 72, 272 on our page.
3. How to find GCD of 173, 251, 72, 272 on a calculator?
You can find the GCD of 173, 251, 72, 272 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.