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 285, 684, 48, 605 i.e. 1 largest integer that divides all the numbers equally.
GCD of 285, 684, 48, 605 is 1
GCD(285, 684, 48, 605) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 285, 684, 48, 605 is 1
GCD(285, 684, 48, 605) = 1
Given Input numbers are 285, 684, 48, 605
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 285
List of positive integer divisors of 285 that divides 285 without a remainder.
1, 3, 5, 15, 19, 57, 95, 285
Divisors of 684
List of positive integer divisors of 684 that divides 684 without a remainder.
1, 2, 3, 4, 6, 9, 12, 18, 19, 36, 38, 57, 76, 114, 171, 228, 342, 684
Divisors of 48
List of positive integer divisors of 48 that divides 48 without a remainder.
1, 2, 3, 4, 6, 8, 12, 16, 24, 48
Divisors of 605
List of positive integer divisors of 605 that divides 605 without a remainder.
1, 5, 11, 55, 121, 605
Greatest Common Divisior
We found the divisors of 285, 684, 48, 605 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 285, 684, 48, 605 is 1.
Therefore, GCD of numbers 285, 684, 48, 605 is 1
Given Input Data is 285, 684, 48, 605
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 285 is 3 x 5 x 19
Prime Factorization of 684 is 2 x 2 x 3 x 3 x 19
Prime Factorization of 48 is 2 x 2 x 2 x 2 x 3
Prime Factorization of 605 is 5 x 11 x 11
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(285, 684) = 3420
GCD(285, 684) = ( 285 x 684 ) / 3420
GCD(285, 684) = 194940 / 3420
GCD(285, 684) = 57
Step2:
Here we consider the GCD from the above i.e. 57 as first number and the next as 48
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(57, 48) = 912
GCD(57, 48) = ( 57 x 48 ) / 912
GCD(57, 48) = 2736 / 912
GCD(57, 48) = 3
Step3:
Here we consider the GCD from the above i.e. 3 as first number and the next as 605
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 605) = 1815
GCD(3, 605) = ( 3 x 605 ) / 1815
GCD(3, 605) = 1815 / 1815
GCD(3, 605) = 1
GCD of 285, 684, 48, 605 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 285, 684, 48, 605?
GCD of 285, 684, 48, 605 is 1
2. Where do I get the detailed procedure to find GCD of 285, 684, 48, 605?
You can find a detailed procedure to find GCD of 285, 684, 48, 605 on our page.
3. How to find GCD of 285, 684, 48, 605 on a calculator?
You can find the GCD of 285, 684, 48, 605 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.