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 624, 452, 280, 636 i.e. 4 largest integer that divides all the numbers equally.
GCD of 624, 452, 280, 636 is 4
GCD(624, 452, 280, 636) = 4
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 624, 452, 280, 636 is 4
GCD(624, 452, 280, 636) = 4
Given Input numbers are 624, 452, 280, 636
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 624
List of positive integer divisors of 624 that divides 624 without a remainder.
1, 2, 3, 4, 6, 8, 12, 13, 16, 24, 26, 39, 48, 52, 78, 104, 156, 208, 312, 624
Divisors of 452
List of positive integer divisors of 452 that divides 452 without a remainder.
1, 2, 4, 113, 226, 452
Divisors of 280
List of positive integer divisors of 280 that divides 280 without a remainder.
1, 2, 4, 5, 7, 8, 10, 14, 20, 28, 35, 40, 56, 70, 140, 280
Divisors of 636
List of positive integer divisors of 636 that divides 636 without a remainder.
1, 2, 3, 4, 6, 12, 53, 106, 159, 212, 318, 636
Greatest Common Divisior
We found the divisors of 624, 452, 280, 636 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 624, 452, 280, 636 is 4.
Therefore, GCD of numbers 624, 452, 280, 636 is 4
Given Input Data is 624, 452, 280, 636
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 624 is 2 x 2 x 2 x 2 x 3 x 13
Prime Factorization of 452 is 2 x 2 x 113
Prime Factorization of 280 is 2 x 2 x 2 x 5 x 7
Prime Factorization of 636 is 2 x 2 x 3 x 53
Highest common occurrences in the given inputs are 22
Multiplying them we get the GCD as 4
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(624, 452) = 70512
GCD(624, 452) = ( 624 x 452 ) / 70512
GCD(624, 452) = 282048 / 70512
GCD(624, 452) = 4
Step2:
Here we consider the GCD from the above i.e. 4 as first number and the next as 280
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(4, 280) = 280
GCD(4, 280) = ( 4 x 280 ) / 280
GCD(4, 280) = 1120 / 280
GCD(4, 280) = 4
Step3:
Here we consider the GCD from the above i.e. 4 as first number and the next as 636
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(4, 636) = 636
GCD(4, 636) = ( 4 x 636 ) / 636
GCD(4, 636) = 2544 / 636
GCD(4, 636) = 4
GCD of 624, 452, 280, 636 is 4
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 624, 452, 280, 636?
GCD of 624, 452, 280, 636 is 4
2. Where do I get the detailed procedure to find GCD of 624, 452, 280, 636?
You can find a detailed procedure to find GCD of 624, 452, 280, 636 on our page.
3. How to find GCD of 624, 452, 280, 636 on a calculator?
You can find the GCD of 624, 452, 280, 636 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.