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 388, 586, 604, 630 i.e. 2 largest integer that divides all the numbers equally.
GCD of 388, 586, 604, 630 is 2
GCD(388, 586, 604, 630) = 2
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 388, 586, 604, 630 is 2
GCD(388, 586, 604, 630) = 2
Given Input numbers are 388, 586, 604, 630
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 388
List of positive integer divisors of 388 that divides 388 without a remainder.
1, 2, 4, 97, 194, 388
Divisors of 586
List of positive integer divisors of 586 that divides 586 without a remainder.
1, 2, 293, 586
Divisors of 604
List of positive integer divisors of 604 that divides 604 without a remainder.
1, 2, 4, 151, 302, 604
Divisors of 630
List of positive integer divisors of 630 that divides 630 without a remainder.
1, 2, 3, 5, 6, 7, 9, 10, 14, 15, 18, 21, 30, 35, 42, 45, 63, 70, 90, 105, 126, 210, 315, 630
Greatest Common Divisior
We found the divisors of 388, 586, 604, 630 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 388, 586, 604, 630 is 2.
Therefore, GCD of numbers 388, 586, 604, 630 is 2
Given Input Data is 388, 586, 604, 630
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 388 is 2 x 2 x 97
Prime Factorization of 586 is 2 x 293
Prime Factorization of 604 is 2 x 2 x 151
Prime Factorization of 630 is 2 x 3 x 3 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(388, 586) = 113684
GCD(388, 586) = ( 388 x 586 ) / 113684
GCD(388, 586) = 227368 / 113684
GCD(388, 586) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 604
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 604) = 604
GCD(2, 604) = ( 2 x 604 ) / 604
GCD(2, 604) = 1208 / 604
GCD(2, 604) = 2
Step3:
Here we consider the GCD from the above i.e. 2 as first number and the next as 630
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 630) = 630
GCD(2, 630) = ( 2 x 630 ) / 630
GCD(2, 630) = 1260 / 630
GCD(2, 630) = 2
GCD of 388, 586, 604, 630 is 2
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 388, 586, 604, 630?
GCD of 388, 586, 604, 630 is 2
2. Where do I get the detailed procedure to find GCD of 388, 586, 604, 630?
You can find a detailed procedure to find GCD of 388, 586, 604, 630 on our page.
3. How to find GCD of 388, 586, 604, 630 on a calculator?
You can find the GCD of 388, 586, 604, 630 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.