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, 602, 752, 482 i.e. 2 largest integer that divides all the numbers equally.
GCD of 504, 602, 752, 482 is 2
GCD(504, 602, 752, 482) = 2
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 504, 602, 752, 482 is 2
GCD(504, 602, 752, 482) = 2
Given Input numbers are 504, 602, 752, 482
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 602
List of positive integer divisors of 602 that divides 602 without a remainder.
1, 2, 7, 14, 43, 86, 301, 602
Divisors of 752
List of positive integer divisors of 752 that divides 752 without a remainder.
1, 2, 4, 8, 16, 47, 94, 188, 376, 752
Divisors of 482
List of positive integer divisors of 482 that divides 482 without a remainder.
1, 2, 241, 482
Greatest Common Divisior
We found the divisors of 504, 602, 752, 482 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 504, 602, 752, 482 is 2.
Therefore, GCD of numbers 504, 602, 752, 482 is 2
Given Input Data is 504, 602, 752, 482
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 602 is 2 x 7 x 43
Prime Factorization of 752 is 2 x 2 x 2 x 2 x 47
Prime Factorization of 482 is 2 x 241
Highest common occurrences in the given inputs are 21
Multiplying them we get the GCD as 2
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, 602) = 21672
GCD(504, 602) = ( 504 x 602 ) / 21672
GCD(504, 602) = 303408 / 21672
GCD(504, 602) = 14
Step2:
Here we consider the GCD from the above i.e. 14 as first number and the next as 752
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(14, 752) = 5264
GCD(14, 752) = ( 14 x 752 ) / 5264
GCD(14, 752) = 10528 / 5264
GCD(14, 752) = 2
Step3:
Here we consider the GCD from the above i.e. 2 as first number and the next as 482
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 482) = 482
GCD(2, 482) = ( 2 x 482 ) / 482
GCD(2, 482) = 964 / 482
GCD(2, 482) = 2
GCD of 504, 602, 752, 482 is 2
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 504, 602, 752, 482?
GCD of 504, 602, 752, 482 is 2
2. Where do I get the detailed procedure to find GCD of 504, 602, 752, 482?
You can find a detailed procedure to find GCD of 504, 602, 752, 482 on our page.
3. How to find GCD of 504, 602, 752, 482 on a calculator?
You can find the GCD of 504, 602, 752, 482 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.