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 10, 226, 998, 507 i.e. 1 largest integer that divides all the numbers equally.
GCD of 10, 226, 998, 507 is 1
GCD(10, 226, 998, 507) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 10, 226, 998, 507 is 1
GCD(10, 226, 998, 507) = 1
Given Input numbers are 10, 226, 998, 507
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 10
List of positive integer divisors of 10 that divides 10 without a remainder.
1, 2, 5, 10
Divisors of 226
List of positive integer divisors of 226 that divides 226 without a remainder.
1, 2, 113, 226
Divisors of 998
List of positive integer divisors of 998 that divides 998 without a remainder.
1, 2, 499, 998
Divisors of 507
List of positive integer divisors of 507 that divides 507 without a remainder.
1, 3, 13, 39, 169, 507
Greatest Common Divisior
We found the divisors of 10, 226, 998, 507 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 10, 226, 998, 507 is 1.
Therefore, GCD of numbers 10, 226, 998, 507 is 1
Given Input Data is 10, 226, 998, 507
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 10 is 2 x 5
Prime Factorization of 226 is 2 x 113
Prime Factorization of 998 is 2 x 499
Prime Factorization of 507 is 3 x 13 x 13
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(10, 226) = 1130
GCD(10, 226) = ( 10 x 226 ) / 1130
GCD(10, 226) = 2260 / 1130
GCD(10, 226) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 998
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 998) = 998
GCD(2, 998) = ( 2 x 998 ) / 998
GCD(2, 998) = 1996 / 998
GCD(2, 998) = 2
Step3:
Here we consider the GCD from the above i.e. 2 as first number and the next as 507
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 507) = 1014
GCD(2, 507) = ( 2 x 507 ) / 1014
GCD(2, 507) = 1014 / 1014
GCD(2, 507) = 1
GCD of 10, 226, 998, 507 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 10, 226, 998, 507?
GCD of 10, 226, 998, 507 is 1
2. Where do I get the detailed procedure to find GCD of 10, 226, 998, 507?
You can find a detailed procedure to find GCD of 10, 226, 998, 507 on our page.
3. How to find GCD of 10, 226, 998, 507 on a calculator?
You can find the GCD of 10, 226, 998, 507 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.