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 444, 600, 52, 613 i.e. 1 largest integer that divides all the numbers equally.
GCD of 444, 600, 52, 613 is 1
GCD(444, 600, 52, 613) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 444, 600, 52, 613 is 1
GCD(444, 600, 52, 613) = 1
Given Input numbers are 444, 600, 52, 613
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 444
List of positive integer divisors of 444 that divides 444 without a remainder.
1, 2, 3, 4, 6, 12, 37, 74, 111, 148, 222, 444
Divisors of 600
List of positive integer divisors of 600 that divides 600 without a remainder.
1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 25, 30, 40, 50, 60, 75, 100, 120, 150, 200, 300, 600
Divisors of 52
List of positive integer divisors of 52 that divides 52 without a remainder.
1, 2, 4, 13, 26, 52
Divisors of 613
List of positive integer divisors of 613 that divides 613 without a remainder.
1, 613
Greatest Common Divisior
We found the divisors of 444, 600, 52, 613 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 444, 600, 52, 613 is 1.
Therefore, GCD of numbers 444, 600, 52, 613 is 1
Given Input Data is 444, 600, 52, 613
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 444 is 2 x 2 x 3 x 37
Prime Factorization of 600 is 2 x 2 x 2 x 3 x 5 x 5
Prime Factorization of 52 is 2 x 2 x 13
Prime Factorization of 613 is 613
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(444, 600) = 22200
GCD(444, 600) = ( 444 x 600 ) / 22200
GCD(444, 600) = 266400 / 22200
GCD(444, 600) = 12
Step2:
Here we consider the GCD from the above i.e. 12 as first number and the next as 52
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(12, 52) = 156
GCD(12, 52) = ( 12 x 52 ) / 156
GCD(12, 52) = 624 / 156
GCD(12, 52) = 4
Step3:
Here we consider the GCD from the above i.e. 4 as first number and the next as 613
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(4, 613) = 2452
GCD(4, 613) = ( 4 x 613 ) / 2452
GCD(4, 613) = 2452 / 2452
GCD(4, 613) = 1
GCD of 444, 600, 52, 613 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 444, 600, 52, 613?
GCD of 444, 600, 52, 613 is 1
2. Where do I get the detailed procedure to find GCD of 444, 600, 52, 613?
You can find a detailed procedure to find GCD of 444, 600, 52, 613 on our page.
3. How to find GCD of 444, 600, 52, 613 on a calculator?
You can find the GCD of 444, 600, 52, 613 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.