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, 232, 85, 322 i.e. 1 largest integer that divides all the numbers equally.
GCD of 172, 232, 85, 322 is 1
GCD(172, 232, 85, 322) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 172, 232, 85, 322 is 1
GCD(172, 232, 85, 322) = 1
Given Input numbers are 172, 232, 85, 322
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 232
List of positive integer divisors of 232 that divides 232 without a remainder.
1, 2, 4, 8, 29, 58, 116, 232
Divisors of 85
List of positive integer divisors of 85 that divides 85 without a remainder.
1, 5, 17, 85
Divisors of 322
List of positive integer divisors of 322 that divides 322 without a remainder.
1, 2, 7, 14, 23, 46, 161, 322
Greatest Common Divisior
We found the divisors of 172, 232, 85, 322 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 172, 232, 85, 322 is 1.
Therefore, GCD of numbers 172, 232, 85, 322 is 1
Given Input Data is 172, 232, 85, 322
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 232 is 2 x 2 x 2 x 29
Prime Factorization of 85 is 5 x 17
Prime Factorization of 322 is 2 x 7 x 23
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, 232) = 9976
GCD(172, 232) = ( 172 x 232 ) / 9976
GCD(172, 232) = 39904 / 9976
GCD(172, 232) = 4
Step2:
Here we consider the GCD from the above i.e. 4 as first number and the next as 85
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(4, 85) = 340
GCD(4, 85) = ( 4 x 85 ) / 340
GCD(4, 85) = 340 / 340
GCD(4, 85) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 322
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 322) = 322
GCD(1, 322) = ( 1 x 322 ) / 322
GCD(1, 322) = 322 / 322
GCD(1, 322) = 1
GCD of 172, 232, 85, 322 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 172, 232, 85, 322?
GCD of 172, 232, 85, 322 is 1
2. Where do I get the detailed procedure to find GCD of 172, 232, 85, 322?
You can find a detailed procedure to find GCD of 172, 232, 85, 322 on our page.
3. How to find GCD of 172, 232, 85, 322 on a calculator?
You can find the GCD of 172, 232, 85, 322 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.