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 282, 748, 204, 424 i.e. 2 largest integer that divides all the numbers equally.
GCD of 282, 748, 204, 424 is 2
GCD(282, 748, 204, 424) = 2
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 282, 748, 204, 424 is 2
GCD(282, 748, 204, 424) = 2
Given Input numbers are 282, 748, 204, 424
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 282
List of positive integer divisors of 282 that divides 282 without a remainder.
1, 2, 3, 6, 47, 94, 141, 282
Divisors of 748
List of positive integer divisors of 748 that divides 748 without a remainder.
1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748
Divisors of 204
List of positive integer divisors of 204 that divides 204 without a remainder.
1, 2, 3, 4, 6, 12, 17, 34, 51, 68, 102, 204
Divisors of 424
List of positive integer divisors of 424 that divides 424 without a remainder.
1, 2, 4, 8, 53, 106, 212, 424
Greatest Common Divisior
We found the divisors of 282, 748, 204, 424 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 282, 748, 204, 424 is 2.
Therefore, GCD of numbers 282, 748, 204, 424 is 2
Given Input Data is 282, 748, 204, 424
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 282 is 2 x 3 x 47
Prime Factorization of 748 is 2 x 2 x 11 x 17
Prime Factorization of 204 is 2 x 2 x 3 x 17
Prime Factorization of 424 is 2 x 2 x 2 x 53
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(282, 748) = 105468
GCD(282, 748) = ( 282 x 748 ) / 105468
GCD(282, 748) = 210936 / 105468
GCD(282, 748) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 204
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 204) = 204
GCD(2, 204) = ( 2 x 204 ) / 204
GCD(2, 204) = 408 / 204
GCD(2, 204) = 2
Step3:
Here we consider the GCD from the above i.e. 2 as first number and the next as 424
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 424) = 424
GCD(2, 424) = ( 2 x 424 ) / 424
GCD(2, 424) = 848 / 424
GCD(2, 424) = 2
GCD of 282, 748, 204, 424 is 2
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 282, 748, 204, 424?
GCD of 282, 748, 204, 424 is 2
2. Where do I get the detailed procedure to find GCD of 282, 748, 204, 424?
You can find a detailed procedure to find GCD of 282, 748, 204, 424 on our page.
3. How to find GCD of 282, 748, 204, 424 on a calculator?
You can find the GCD of 282, 748, 204, 424 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.