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, 927, 329, 548 i.e. 1 largest integer that divides all the numbers equally.
GCD of 504, 927, 329, 548 is 1
GCD(504, 927, 329, 548) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 504, 927, 329, 548 is 1
GCD(504, 927, 329, 548) = 1
Given Input numbers are 504, 927, 329, 548
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 927
List of positive integer divisors of 927 that divides 927 without a remainder.
1, 3, 9, 103, 309, 927
Divisors of 329
List of positive integer divisors of 329 that divides 329 without a remainder.
1, 7, 47, 329
Divisors of 548
List of positive integer divisors of 548 that divides 548 without a remainder.
1, 2, 4, 137, 274, 548
Greatest Common Divisior
We found the divisors of 504, 927, 329, 548 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 504, 927, 329, 548 is 1.
Therefore, GCD of numbers 504, 927, 329, 548 is 1
Given Input Data is 504, 927, 329, 548
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 927 is 3 x 3 x 103
Prime Factorization of 329 is 7 x 47
Prime Factorization of 548 is 2 x 2 x 137
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, 927) = 51912
GCD(504, 927) = ( 504 x 927 ) / 51912
GCD(504, 927) = 467208 / 51912
GCD(504, 927) = 9
Step2:
Here we consider the GCD from the above i.e. 9 as first number and the next as 329
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(9, 329) = 2961
GCD(9, 329) = ( 9 x 329 ) / 2961
GCD(9, 329) = 2961 / 2961
GCD(9, 329) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 548
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 548) = 548
GCD(1, 548) = ( 1 x 548 ) / 548
GCD(1, 548) = 548 / 548
GCD(1, 548) = 1
GCD of 504, 927, 329, 548 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 504, 927, 329, 548?
GCD of 504, 927, 329, 548 is 1
2. Where do I get the detailed procedure to find GCD of 504, 927, 329, 548?
You can find a detailed procedure to find GCD of 504, 927, 329, 548 on our page.
3. How to find GCD of 504, 927, 329, 548 on a calculator?
You can find the GCD of 504, 927, 329, 548 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.