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 873, 598, 137, 225 i.e. 1 largest integer that divides all the numbers equally.
GCD of 873, 598, 137, 225 is 1
GCD(873, 598, 137, 225) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 873, 598, 137, 225 is 1
GCD(873, 598, 137, 225) = 1
Given Input numbers are 873, 598, 137, 225
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 873
List of positive integer divisors of 873 that divides 873 without a remainder.
1, 3, 9, 97, 291, 873
Divisors of 598
List of positive integer divisors of 598 that divides 598 without a remainder.
1, 2, 13, 23, 26, 46, 299, 598
Divisors of 137
List of positive integer divisors of 137 that divides 137 without a remainder.
1, 137
Divisors of 225
List of positive integer divisors of 225 that divides 225 without a remainder.
1, 3, 5, 9, 15, 25, 45, 75, 225
Greatest Common Divisior
We found the divisors of 873, 598, 137, 225 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 873, 598, 137, 225 is 1.
Therefore, GCD of numbers 873, 598, 137, 225 is 1
Given Input Data is 873, 598, 137, 225
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 873 is 3 x 3 x 97
Prime Factorization of 598 is 2 x 13 x 23
Prime Factorization of 137 is 137
Prime Factorization of 225 is 3 x 3 x 5 x 5
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(873, 598) = 522054
GCD(873, 598) = ( 873 x 598 ) / 522054
GCD(873, 598) = 522054 / 522054
GCD(873, 598) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 137
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 137) = 137
GCD(1, 137) = ( 1 x 137 ) / 137
GCD(1, 137) = 137 / 137
GCD(1, 137) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 225
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 225) = 225
GCD(1, 225) = ( 1 x 225 ) / 225
GCD(1, 225) = 225 / 225
GCD(1, 225) = 1
GCD of 873, 598, 137, 225 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 873, 598, 137, 225?
GCD of 873, 598, 137, 225 is 1
2. Where do I get the detailed procedure to find GCD of 873, 598, 137, 225?
You can find a detailed procedure to find GCD of 873, 598, 137, 225 on our page.
3. How to find GCD of 873, 598, 137, 225 on a calculator?
You can find the GCD of 873, 598, 137, 225 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.