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, 418, 215 i.e. 1 largest integer that divides all the numbers equally.
GCD of 374, 418, 215 is 1
GCD(374, 418, 215) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 374, 418, 215 is 1
GCD(374, 418, 215) = 1
Given Input numbers are 374, 418, 215
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 418
List of positive integer divisors of 418 that divides 418 without a remainder.
1, 2, 11, 19, 22, 38, 209, 418
Divisors of 215
List of positive integer divisors of 215 that divides 215 without a remainder.
1, 5, 43, 215
Greatest Common Divisior
We found the divisors of 374, 418, 215 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 374, 418, 215 is 1.
Therefore, GCD of numbers 374, 418, 215 is 1
Given Input Data is 374, 418, 215
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 418 is 2 x 11 x 19
Prime Factorization of 215 is 5 x 43
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, 418) = 7106
GCD(374, 418) = ( 374 x 418 ) / 7106
GCD(374, 418) = 156332 / 7106
GCD(374, 418) = 22
Step2:
Here we consider the GCD from the above i.e. 22 as first number and the next as 215
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(22, 215) = 4730
GCD(22, 215) = ( 22 x 215 ) / 4730
GCD(22, 215) = 4730 / 4730
GCD(22, 215) = 1
GCD of 374, 418, 215 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 374, 418, 215?
GCD of 374, 418, 215 is 1
2. Where do I get the detailed procedure to find GCD of 374, 418, 215?
You can find a detailed procedure to find GCD of 374, 418, 215 on our page.
3. How to find GCD of 374, 418, 215 on a calculator?
You can find the GCD of 374, 418, 215 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.