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 604, 494, 52, 560 i.e. 2 largest integer that divides all the numbers equally.
GCD of 604, 494, 52, 560 is 2
GCD(604, 494, 52, 560) = 2
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 604, 494, 52, 560 is 2
GCD(604, 494, 52, 560) = 2
Given Input numbers are 604, 494, 52, 560
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 604
List of positive integer divisors of 604 that divides 604 without a remainder.
1, 2, 4, 151, 302, 604
Divisors of 494
List of positive integer divisors of 494 that divides 494 without a remainder.
1, 2, 13, 19, 26, 38, 247, 494
Divisors of 52
List of positive integer divisors of 52 that divides 52 without a remainder.
1, 2, 4, 13, 26, 52
Divisors of 560
List of positive integer divisors of 560 that divides 560 without a remainder.
1, 2, 4, 5, 7, 8, 10, 14, 16, 20, 28, 35, 40, 56, 70, 80, 112, 140, 280, 560
Greatest Common Divisior
We found the divisors of 604, 494, 52, 560 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 604, 494, 52, 560 is 2.
Therefore, GCD of numbers 604, 494, 52, 560 is 2
Given Input Data is 604, 494, 52, 560
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 604 is 2 x 2 x 151
Prime Factorization of 494 is 2 x 13 x 19
Prime Factorization of 52 is 2 x 2 x 13
Prime Factorization of 560 is 2 x 2 x 2 x 2 x 5 x 7
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(604, 494) = 149188
GCD(604, 494) = ( 604 x 494 ) / 149188
GCD(604, 494) = 298376 / 149188
GCD(604, 494) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 52
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 52) = 52
GCD(2, 52) = ( 2 x 52 ) / 52
GCD(2, 52) = 104 / 52
GCD(2, 52) = 2
Step3:
Here we consider the GCD from the above i.e. 2 as first number and the next as 560
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 560) = 560
GCD(2, 560) = ( 2 x 560 ) / 560
GCD(2, 560) = 1120 / 560
GCD(2, 560) = 2
GCD of 604, 494, 52, 560 is 2
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 604, 494, 52, 560?
GCD of 604, 494, 52, 560 is 2
2. Where do I get the detailed procedure to find GCD of 604, 494, 52, 560?
You can find a detailed procedure to find GCD of 604, 494, 52, 560 on our page.
3. How to find GCD of 604, 494, 52, 560 on a calculator?
You can find the GCD of 604, 494, 52, 560 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.