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 372, 173, 59 i.e. 1 largest integer that divides all the numbers equally.
GCD of 372, 173, 59 is 1
GCD(372, 173, 59) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 372, 173, 59 is 1
GCD(372, 173, 59) = 1
Given Input numbers are 372, 173, 59
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 372
List of positive integer divisors of 372 that divides 372 without a remainder.
1, 2, 3, 4, 6, 12, 31, 62, 93, 124, 186, 372
Divisors of 173
List of positive integer divisors of 173 that divides 173 without a remainder.
1, 173
Divisors of 59
List of positive integer divisors of 59 that divides 59 without a remainder.
1, 59
Greatest Common Divisior
We found the divisors of 372, 173, 59 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 372, 173, 59 is 1.
Therefore, GCD of numbers 372, 173, 59 is 1
Given Input Data is 372, 173, 59
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 372 is 2 x 2 x 3 x 31
Prime Factorization of 173 is 173
Prime Factorization of 59 is 59
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(372, 173) = 64356
GCD(372, 173) = ( 372 x 173 ) / 64356
GCD(372, 173) = 64356 / 64356
GCD(372, 173) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 59
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 59) = 59
GCD(1, 59) = ( 1 x 59 ) / 59
GCD(1, 59) = 59 / 59
GCD(1, 59) = 1
GCD of 372, 173, 59 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 372, 173, 59?
GCD of 372, 173, 59 is 1
2. Where do I get the detailed procedure to find GCD of 372, 173, 59?
You can find a detailed procedure to find GCD of 372, 173, 59 on our page.
3. How to find GCD of 372, 173, 59 on a calculator?
You can find the GCD of 372, 173, 59 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.