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 432, 202, 374, 394 i.e. 2 largest integer that divides all the numbers equally.
GCD of 432, 202, 374, 394 is 2
GCD(432, 202, 374, 394) = 2
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 432, 202, 374, 394 is 2
GCD(432, 202, 374, 394) = 2
Given Input numbers are 432, 202, 374, 394
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 432
List of positive integer divisors of 432 that divides 432 without a remainder.
1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 36, 48, 54, 72, 108, 144, 216, 432
Divisors of 202
List of positive integer divisors of 202 that divides 202 without a remainder.
1, 2, 101, 202
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 394
List of positive integer divisors of 394 that divides 394 without a remainder.
1, 2, 197, 394
Greatest Common Divisior
We found the divisors of 432, 202, 374, 394 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 432, 202, 374, 394 is 2.
Therefore, GCD of numbers 432, 202, 374, 394 is 2
Given Input Data is 432, 202, 374, 394
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 432 is 2 x 2 x 2 x 2 x 3 x 3 x 3
Prime Factorization of 202 is 2 x 101
Prime Factorization of 374 is 2 x 11 x 17
Prime Factorization of 394 is 2 x 197
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(432, 202) = 43632
GCD(432, 202) = ( 432 x 202 ) / 43632
GCD(432, 202) = 87264 / 43632
GCD(432, 202) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 374
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 374) = 374
GCD(2, 374) = ( 2 x 374 ) / 374
GCD(2, 374) = 748 / 374
GCD(2, 374) = 2
Step3:
Here we consider the GCD from the above i.e. 2 as first number and the next as 394
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 394) = 394
GCD(2, 394) = ( 2 x 394 ) / 394
GCD(2, 394) = 788 / 394
GCD(2, 394) = 2
GCD of 432, 202, 374, 394 is 2
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 432, 202, 374, 394?
GCD of 432, 202, 374, 394 is 2
2. Where do I get the detailed procedure to find GCD of 432, 202, 374, 394?
You can find a detailed procedure to find GCD of 432, 202, 374, 394 on our page.
3. How to find GCD of 432, 202, 374, 394 on a calculator?
You can find the GCD of 432, 202, 374, 394 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.