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 172, 583, 31, 185 i.e. 1 largest integer that divides all the numbers equally.
GCD of 172, 583, 31, 185 is 1
GCD(172, 583, 31, 185) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 172, 583, 31, 185 is 1
GCD(172, 583, 31, 185) = 1
Given Input numbers are 172, 583, 31, 185
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 172
List of positive integer divisors of 172 that divides 172 without a remainder.
1, 2, 4, 43, 86, 172
Divisors of 583
List of positive integer divisors of 583 that divides 583 without a remainder.
1, 11, 53, 583
Divisors of 31
List of positive integer divisors of 31 that divides 31 without a remainder.
1, 31
Divisors of 185
List of positive integer divisors of 185 that divides 185 without a remainder.
1, 5, 37, 185
Greatest Common Divisior
We found the divisors of 172, 583, 31, 185 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 172, 583, 31, 185 is 1.
Therefore, GCD of numbers 172, 583, 31, 185 is 1
Given Input Data is 172, 583, 31, 185
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 172 is 2 x 2 x 43
Prime Factorization of 583 is 11 x 53
Prime Factorization of 31 is 31
Prime Factorization of 185 is 5 x 37
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(172, 583) = 100276
GCD(172, 583) = ( 172 x 583 ) / 100276
GCD(172, 583) = 100276 / 100276
GCD(172, 583) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 31
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 31) = 31
GCD(1, 31) = ( 1 x 31 ) / 31
GCD(1, 31) = 31 / 31
GCD(1, 31) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 185
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 185) = 185
GCD(1, 185) = ( 1 x 185 ) / 185
GCD(1, 185) = 185 / 185
GCD(1, 185) = 1
GCD of 172, 583, 31, 185 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 172, 583, 31, 185?
GCD of 172, 583, 31, 185 is 1
2. Where do I get the detailed procedure to find GCD of 172, 583, 31, 185?
You can find a detailed procedure to find GCD of 172, 583, 31, 185 on our page.
3. How to find GCD of 172, 583, 31, 185 on a calculator?
You can find the GCD of 172, 583, 31, 185 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.