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 724, 322, 25, 502 i.e. 1 largest integer that divides all the numbers equally.
GCD of 724, 322, 25, 502 is 1
GCD(724, 322, 25, 502) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 724, 322, 25, 502 is 1
GCD(724, 322, 25, 502) = 1
Given Input numbers are 724, 322, 25, 502
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 724
List of positive integer divisors of 724 that divides 724 without a remainder.
1, 2, 4, 181, 362, 724
Divisors of 322
List of positive integer divisors of 322 that divides 322 without a remainder.
1, 2, 7, 14, 23, 46, 161, 322
Divisors of 25
List of positive integer divisors of 25 that divides 25 without a remainder.
1, 5, 25
Divisors of 502
List of positive integer divisors of 502 that divides 502 without a remainder.
1, 2, 251, 502
Greatest Common Divisior
We found the divisors of 724, 322, 25, 502 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 724, 322, 25, 502 is 1.
Therefore, GCD of numbers 724, 322, 25, 502 is 1
Given Input Data is 724, 322, 25, 502
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 724 is 2 x 2 x 181
Prime Factorization of 322 is 2 x 7 x 23
Prime Factorization of 25 is 5 x 5
Prime Factorization of 502 is 2 x 251
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(724, 322) = 116564
GCD(724, 322) = ( 724 x 322 ) / 116564
GCD(724, 322) = 233128 / 116564
GCD(724, 322) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 25
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 25) = 50
GCD(2, 25) = ( 2 x 25 ) / 50
GCD(2, 25) = 50 / 50
GCD(2, 25) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 502
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 502) = 502
GCD(1, 502) = ( 1 x 502 ) / 502
GCD(1, 502) = 502 / 502
GCD(1, 502) = 1
GCD of 724, 322, 25, 502 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 724, 322, 25, 502?
GCD of 724, 322, 25, 502 is 1
2. Where do I get the detailed procedure to find GCD of 724, 322, 25, 502?
You can find a detailed procedure to find GCD of 724, 322, 25, 502 on our page.
3. How to find GCD of 724, 322, 25, 502 on a calculator?
You can find the GCD of 724, 322, 25, 502 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.