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 228, 496, 63, 926 i.e. 1 largest integer that divides all the numbers equally.
GCD of 228, 496, 63, 926 is 1
GCD(228, 496, 63, 926) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 228, 496, 63, 926 is 1
GCD(228, 496, 63, 926) = 1
Given Input numbers are 228, 496, 63, 926
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 228
List of positive integer divisors of 228 that divides 228 without a remainder.
1, 2, 3, 4, 6, 12, 19, 38, 57, 76, 114, 228
Divisors of 496
List of positive integer divisors of 496 that divides 496 without a remainder.
1, 2, 4, 8, 16, 31, 62, 124, 248, 496
Divisors of 63
List of positive integer divisors of 63 that divides 63 without a remainder.
1, 3, 7, 9, 21, 63
Divisors of 926
List of positive integer divisors of 926 that divides 926 without a remainder.
1, 2, 463, 926
Greatest Common Divisior
We found the divisors of 228, 496, 63, 926 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 228, 496, 63, 926 is 1.
Therefore, GCD of numbers 228, 496, 63, 926 is 1
Given Input Data is 228, 496, 63, 926
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 228 is 2 x 2 x 3 x 19
Prime Factorization of 496 is 2 x 2 x 2 x 2 x 31
Prime Factorization of 63 is 3 x 3 x 7
Prime Factorization of 926 is 2 x 463
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(228, 496) = 28272
GCD(228, 496) = ( 228 x 496 ) / 28272
GCD(228, 496) = 113088 / 28272
GCD(228, 496) = 4
Step2:
Here we consider the GCD from the above i.e. 4 as first number and the next as 63
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(4, 63) = 252
GCD(4, 63) = ( 4 x 63 ) / 252
GCD(4, 63) = 252 / 252
GCD(4, 63) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 926
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 926) = 926
GCD(1, 926) = ( 1 x 926 ) / 926
GCD(1, 926) = 926 / 926
GCD(1, 926) = 1
GCD of 228, 496, 63, 926 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 228, 496, 63, 926?
GCD of 228, 496, 63, 926 is 1
2. Where do I get the detailed procedure to find GCD of 228, 496, 63, 926?
You can find a detailed procedure to find GCD of 228, 496, 63, 926 on our page.
3. How to find GCD of 228, 496, 63, 926 on a calculator?
You can find the GCD of 228, 496, 63, 926 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.