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 504, 794, 595, 732 i.e. 1 largest integer that divides all the numbers equally.
GCD of 504, 794, 595, 732 is 1
GCD(504, 794, 595, 732) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 504, 794, 595, 732 is 1
GCD(504, 794, 595, 732) = 1
Given Input numbers are 504, 794, 595, 732
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 504
List of positive integer divisors of 504 that divides 504 without a remainder.
1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 18, 21, 24, 28, 36, 42, 56, 63, 72, 84, 126, 168, 252, 504
Divisors of 794
List of positive integer divisors of 794 that divides 794 without a remainder.
1, 2, 397, 794
Divisors of 595
List of positive integer divisors of 595 that divides 595 without a remainder.
1, 5, 7, 17, 35, 85, 119, 595
Divisors of 732
List of positive integer divisors of 732 that divides 732 without a remainder.
1, 2, 3, 4, 6, 12, 61, 122, 183, 244, 366, 732
Greatest Common Divisior
We found the divisors of 504, 794, 595, 732 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 504, 794, 595, 732 is 1.
Therefore, GCD of numbers 504, 794, 595, 732 is 1
Given Input Data is 504, 794, 595, 732
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 504 is 2 x 2 x 2 x 3 x 3 x 7
Prime Factorization of 794 is 2 x 397
Prime Factorization of 595 is 5 x 7 x 17
Prime Factorization of 732 is 2 x 2 x 3 x 61
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(504, 794) = 200088
GCD(504, 794) = ( 504 x 794 ) / 200088
GCD(504, 794) = 400176 / 200088
GCD(504, 794) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 595
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 595) = 1190
GCD(2, 595) = ( 2 x 595 ) / 1190
GCD(2, 595) = 1190 / 1190
GCD(2, 595) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 732
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 732) = 732
GCD(1, 732) = ( 1 x 732 ) / 732
GCD(1, 732) = 732 / 732
GCD(1, 732) = 1
GCD of 504, 794, 595, 732 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 504, 794, 595, 732?
GCD of 504, 794, 595, 732 is 1
2. Where do I get the detailed procedure to find GCD of 504, 794, 595, 732?
You can find a detailed procedure to find GCD of 504, 794, 595, 732 on our page.
3. How to find GCD of 504, 794, 595, 732 on a calculator?
You can find the GCD of 504, 794, 595, 732 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.