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, 150, 808, 422 i.e. 2 largest integer that divides all the numbers equally.
GCD of 374, 150, 808, 422 is 2
GCD(374, 150, 808, 422) = 2
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 374, 150, 808, 422 is 2
GCD(374, 150, 808, 422) = 2
Given Input numbers are 374, 150, 808, 422
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 150
List of positive integer divisors of 150 that divides 150 without a remainder.
1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 150
Divisors of 808
List of positive integer divisors of 808 that divides 808 without a remainder.
1, 2, 4, 8, 101, 202, 404, 808
Divisors of 422
List of positive integer divisors of 422 that divides 422 without a remainder.
1, 2, 211, 422
Greatest Common Divisior
We found the divisors of 374, 150, 808, 422 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 374, 150, 808, 422 is 2.
Therefore, GCD of numbers 374, 150, 808, 422 is 2
Given Input Data is 374, 150, 808, 422
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 150 is 2 x 3 x 5 x 5
Prime Factorization of 808 is 2 x 2 x 2 x 101
Prime Factorization of 422 is 2 x 211
Highest common occurrences in the given inputs are 21
Multiplying them we get the GCD as 2
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, 150) = 28050
GCD(374, 150) = ( 374 x 150 ) / 28050
GCD(374, 150) = 56100 / 28050
GCD(374, 150) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 808
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 808) = 808
GCD(2, 808) = ( 2 x 808 ) / 808
GCD(2, 808) = 1616 / 808
GCD(2, 808) = 2
Step3:
Here we consider the GCD from the above i.e. 2 as first number and the next as 422
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 422) = 422
GCD(2, 422) = ( 2 x 422 ) / 422
GCD(2, 422) = 844 / 422
GCD(2, 422) = 2
GCD of 374, 150, 808, 422 is 2
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 374, 150, 808, 422?
GCD of 374, 150, 808, 422 is 2
2. Where do I get the detailed procedure to find GCD of 374, 150, 808, 422?
You can find a detailed procedure to find GCD of 374, 150, 808, 422 on our page.
3. How to find GCD of 374, 150, 808, 422 on a calculator?
You can find the GCD of 374, 150, 808, 422 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.