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 500, 228, 907, 163 i.e. 1 largest integer that divides all the numbers equally.
GCD of 500, 228, 907, 163 is 1
GCD(500, 228, 907, 163) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 500, 228, 907, 163 is 1
GCD(500, 228, 907, 163) = 1
Given Input numbers are 500, 228, 907, 163
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 500
List of positive integer divisors of 500 that divides 500 without a remainder.
1, 2, 4, 5, 10, 20, 25, 50, 100, 125, 250, 500
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 907
List of positive integer divisors of 907 that divides 907 without a remainder.
1, 907
Divisors of 163
List of positive integer divisors of 163 that divides 163 without a remainder.
1, 163
Greatest Common Divisior
We found the divisors of 500, 228, 907, 163 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 500, 228, 907, 163 is 1.
Therefore, GCD of numbers 500, 228, 907, 163 is 1
Given Input Data is 500, 228, 907, 163
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 500 is 2 x 2 x 5 x 5 x 5
Prime Factorization of 228 is 2 x 2 x 3 x 19
Prime Factorization of 907 is 907
Prime Factorization of 163 is 163
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(500, 228) = 28500
GCD(500, 228) = ( 500 x 228 ) / 28500
GCD(500, 228) = 114000 / 28500
GCD(500, 228) = 4
Step2:
Here we consider the GCD from the above i.e. 4 as first number and the next as 907
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(4, 907) = 3628
GCD(4, 907) = ( 4 x 907 ) / 3628
GCD(4, 907) = 3628 / 3628
GCD(4, 907) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 163
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 163) = 163
GCD(1, 163) = ( 1 x 163 ) / 163
GCD(1, 163) = 163 / 163
GCD(1, 163) = 1
GCD of 500, 228, 907, 163 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 500, 228, 907, 163?
GCD of 500, 228, 907, 163 is 1
2. Where do I get the detailed procedure to find GCD of 500, 228, 907, 163?
You can find a detailed procedure to find GCD of 500, 228, 907, 163 on our page.
3. How to find GCD of 500, 228, 907, 163 on a calculator?
You can find the GCD of 500, 228, 907, 163 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.