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, 133, 238, 456 i.e. 1 largest integer that divides all the numbers equally.
GCD of 374, 133, 238, 456 is 1
GCD(374, 133, 238, 456) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 374, 133, 238, 456 is 1
GCD(374, 133, 238, 456) = 1
Given Input numbers are 374, 133, 238, 456
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 133
List of positive integer divisors of 133 that divides 133 without a remainder.
1, 7, 19, 133
Divisors of 238
List of positive integer divisors of 238 that divides 238 without a remainder.
1, 2, 7, 14, 17, 34, 119, 238
Divisors of 456
List of positive integer divisors of 456 that divides 456 without a remainder.
1, 2, 3, 4, 6, 8, 12, 19, 24, 38, 57, 76, 114, 152, 228, 456
Greatest Common Divisior
We found the divisors of 374, 133, 238, 456 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 374, 133, 238, 456 is 1.
Therefore, GCD of numbers 374, 133, 238, 456 is 1
Given Input Data is 374, 133, 238, 456
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 133 is 7 x 19
Prime Factorization of 238 is 2 x 7 x 17
Prime Factorization of 456 is 2 x 2 x 2 x 3 x 19
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, 133) = 49742
GCD(374, 133) = ( 374 x 133 ) / 49742
GCD(374, 133) = 49742 / 49742
GCD(374, 133) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 238
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 238) = 238
GCD(1, 238) = ( 1 x 238 ) / 238
GCD(1, 238) = 238 / 238
GCD(1, 238) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 456
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 456) = 456
GCD(1, 456) = ( 1 x 456 ) / 456
GCD(1, 456) = 456 / 456
GCD(1, 456) = 1
GCD of 374, 133, 238, 456 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 374, 133, 238, 456?
GCD of 374, 133, 238, 456 is 1
2. Where do I get the detailed procedure to find GCD of 374, 133, 238, 456?
You can find a detailed procedure to find GCD of 374, 133, 238, 456 on our page.
3. How to find GCD of 374, 133, 238, 456 on a calculator?
You can find the GCD of 374, 133, 238, 456 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.