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 48, 596, 854, 788 i.e. 2 largest integer that divides all the numbers equally.
GCD of 48, 596, 854, 788 is 2
GCD(48, 596, 854, 788) = 2
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 48, 596, 854, 788 is 2
GCD(48, 596, 854, 788) = 2
Given Input numbers are 48, 596, 854, 788
To find the GCD of numbers using factoring list out all the divisors of each number
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 596
List of positive integer divisors of 596 that divides 596 without a remainder.
1, 2, 4, 149, 298, 596
Divisors of 854
List of positive integer divisors of 854 that divides 854 without a remainder.
1, 2, 7, 14, 61, 122, 427, 854
Divisors of 788
List of positive integer divisors of 788 that divides 788 without a remainder.
1, 2, 4, 197, 394, 788
Greatest Common Divisior
We found the divisors of 48, 596, 854, 788 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 48, 596, 854, 788 is 2.
Therefore, GCD of numbers 48, 596, 854, 788 is 2
Given Input Data is 48, 596, 854, 788
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 48 is 2 x 2 x 2 x 2 x 3
Prime Factorization of 596 is 2 x 2 x 149
Prime Factorization of 854 is 2 x 7 x 61
Prime Factorization of 788 is 2 x 2 x 197
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(48, 596) = 7152
GCD(48, 596) = ( 48 x 596 ) / 7152
GCD(48, 596) = 28608 / 7152
GCD(48, 596) = 4
Step2:
Here we consider the GCD from the above i.e. 4 as first number and the next as 854
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(4, 854) = 1708
GCD(4, 854) = ( 4 x 854 ) / 1708
GCD(4, 854) = 3416 / 1708
GCD(4, 854) = 2
Step3:
Here we consider the GCD from the above i.e. 2 as first number and the next as 788
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 788) = 788
GCD(2, 788) = ( 2 x 788 ) / 788
GCD(2, 788) = 1576 / 788
GCD(2, 788) = 2
GCD of 48, 596, 854, 788 is 2
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 48, 596, 854, 788?
GCD of 48, 596, 854, 788 is 2
2. Where do I get the detailed procedure to find GCD of 48, 596, 854, 788?
You can find a detailed procedure to find GCD of 48, 596, 854, 788 on our page.
3. How to find GCD of 48, 596, 854, 788 on a calculator?
You can find the GCD of 48, 596, 854, 788 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.