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, 432, 792, 416 i.e. 2 largest integer that divides all the numbers equally.
GCD of 374, 432, 792, 416 is 2
GCD(374, 432, 792, 416) = 2
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 374, 432, 792, 416 is 2
GCD(374, 432, 792, 416) = 2
Given Input numbers are 374, 432, 792, 416
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 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 792
List of positive integer divisors of 792 that divides 792 without a remainder.
1, 2, 3, 4, 6, 8, 9, 11, 12, 18, 22, 24, 33, 36, 44, 66, 72, 88, 99, 132, 198, 264, 396, 792
Divisors of 416
List of positive integer divisors of 416 that divides 416 without a remainder.
1, 2, 4, 8, 13, 16, 26, 32, 52, 104, 208, 416
Greatest Common Divisior
We found the divisors of 374, 432, 792, 416 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 374, 432, 792, 416 is 2.
Therefore, GCD of numbers 374, 432, 792, 416 is 2
Given Input Data is 374, 432, 792, 416
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 432 is 2 x 2 x 2 x 2 x 3 x 3 x 3
Prime Factorization of 792 is 2 x 2 x 2 x 3 x 3 x 11
Prime Factorization of 416 is 2 x 2 x 2 x 2 x 2 x 13
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, 432) = 80784
GCD(374, 432) = ( 374 x 432 ) / 80784
GCD(374, 432) = 161568 / 80784
GCD(374, 432) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 792
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 792) = 792
GCD(2, 792) = ( 2 x 792 ) / 792
GCD(2, 792) = 1584 / 792
GCD(2, 792) = 2
Step3:
Here we consider the GCD from the above i.e. 2 as first number and the next as 416
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 416) = 416
GCD(2, 416) = ( 2 x 416 ) / 416
GCD(2, 416) = 832 / 416
GCD(2, 416) = 2
GCD of 374, 432, 792, 416 is 2
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 374, 432, 792, 416?
GCD of 374, 432, 792, 416 is 2
2. Where do I get the detailed procedure to find GCD of 374, 432, 792, 416?
You can find a detailed procedure to find GCD of 374, 432, 792, 416 on our page.
3. How to find GCD of 374, 432, 792, 416 on a calculator?
You can find the GCD of 374, 432, 792, 416 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.