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, 839, 342, 260 i.e. 1 largest integer that divides all the numbers equally.
GCD of 504, 839, 342, 260 is 1
GCD(504, 839, 342, 260) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 504, 839, 342, 260 is 1
GCD(504, 839, 342, 260) = 1
Given Input numbers are 504, 839, 342, 260
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 839
List of positive integer divisors of 839 that divides 839 without a remainder.
1, 839
Divisors of 342
List of positive integer divisors of 342 that divides 342 without a remainder.
1, 2, 3, 6, 9, 18, 19, 38, 57, 114, 171, 342
Divisors of 260
List of positive integer divisors of 260 that divides 260 without a remainder.
1, 2, 4, 5, 10, 13, 20, 26, 52, 65, 130, 260
Greatest Common Divisior
We found the divisors of 504, 839, 342, 260 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 504, 839, 342, 260 is 1.
Therefore, GCD of numbers 504, 839, 342, 260 is 1
Given Input Data is 504, 839, 342, 260
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 839 is 839
Prime Factorization of 342 is 2 x 3 x 3 x 19
Prime Factorization of 260 is 2 x 2 x 5 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(504, 839) = 422856
GCD(504, 839) = ( 504 x 839 ) / 422856
GCD(504, 839) = 422856 / 422856
GCD(504, 839) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 342
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 342) = 342
GCD(1, 342) = ( 1 x 342 ) / 342
GCD(1, 342) = 342 / 342
GCD(1, 342) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 260
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 260) = 260
GCD(1, 260) = ( 1 x 260 ) / 260
GCD(1, 260) = 260 / 260
GCD(1, 260) = 1
GCD of 504, 839, 342, 260 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 504, 839, 342, 260?
GCD of 504, 839, 342, 260 is 1
2. Where do I get the detailed procedure to find GCD of 504, 839, 342, 260?
You can find a detailed procedure to find GCD of 504, 839, 342, 260 on our page.
3. How to find GCD of 504, 839, 342, 260 on a calculator?
You can find the GCD of 504, 839, 342, 260 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.