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 374, 652, 225 i.e. 1 largest integer that divides all the numbers equally.
GCD of 374, 652, 225 is 1
GCD(374, 652, 225) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 374, 652, 225 is 1
GCD(374, 652, 225) = 1
Given Input numbers are 374, 652, 225
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 374
List of positive integer divisors of 374 that divides 374 without a remainder.
1, 2, 11, 17, 22, 34, 187, 374
Divisors of 652
List of positive integer divisors of 652 that divides 652 without a remainder.
1, 2, 4, 163, 326, 652
Divisors of 225
List of positive integer divisors of 225 that divides 225 without a remainder.
1, 3, 5, 9, 15, 25, 45, 75, 225
Greatest Common Divisior
We found the divisors of 374, 652, 225 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 374, 652, 225 is 1.
Therefore, GCD of numbers 374, 652, 225 is 1
Given Input Data is 374, 652, 225
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 374 is 2 x 11 x 17
Prime Factorization of 652 is 2 x 2 x 163
Prime Factorization of 225 is 3 x 3 x 5 x 5
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(374, 652) = 121924
GCD(374, 652) = ( 374 x 652 ) / 121924
GCD(374, 652) = 243848 / 121924
GCD(374, 652) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 225
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 225) = 450
GCD(2, 225) = ( 2 x 225 ) / 450
GCD(2, 225) = 450 / 450
GCD(2, 225) = 1
GCD of 374, 652, 225 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 374, 652, 225?
GCD of 374, 652, 225 is 1
2. Where do I get the detailed procedure to find GCD of 374, 652, 225?
You can find a detailed procedure to find GCD of 374, 652, 225 on our page.
3. How to find GCD of 374, 652, 225 on a calculator?
You can find the GCD of 374, 652, 225 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.