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 384, 860, 86, 812 i.e. 2 largest integer that divides all the numbers equally.
GCD of 384, 860, 86, 812 is 2
GCD(384, 860, 86, 812) = 2
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 384, 860, 86, 812 is 2
GCD(384, 860, 86, 812) = 2
Given Input numbers are 384, 860, 86, 812
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 384
List of positive integer divisors of 384 that divides 384 without a remainder.
1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 384
Divisors of 860
List of positive integer divisors of 860 that divides 860 without a remainder.
1, 2, 4, 5, 10, 20, 43, 86, 172, 215, 430, 860
Divisors of 86
List of positive integer divisors of 86 that divides 86 without a remainder.
1, 2, 43, 86
Divisors of 812
List of positive integer divisors of 812 that divides 812 without a remainder.
1, 2, 4, 7, 14, 28, 29, 58, 116, 203, 406, 812
Greatest Common Divisior
We found the divisors of 384, 860, 86, 812 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 384, 860, 86, 812 is 2.
Therefore, GCD of numbers 384, 860, 86, 812 is 2
Given Input Data is 384, 860, 86, 812
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 384 is 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3
Prime Factorization of 860 is 2 x 2 x 5 x 43
Prime Factorization of 86 is 2 x 43
Prime Factorization of 812 is 2 x 2 x 7 x 29
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(384, 860) = 82560
GCD(384, 860) = ( 384 x 860 ) / 82560
GCD(384, 860) = 330240 / 82560
GCD(384, 860) = 4
Step2:
Here we consider the GCD from the above i.e. 4 as first number and the next as 86
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(4, 86) = 172
GCD(4, 86) = ( 4 x 86 ) / 172
GCD(4, 86) = 344 / 172
GCD(4, 86) = 2
Step3:
Here we consider the GCD from the above i.e. 2 as first number and the next as 812
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 812) = 812
GCD(2, 812) = ( 2 x 812 ) / 812
GCD(2, 812) = 1624 / 812
GCD(2, 812) = 2
GCD of 384, 860, 86, 812 is 2
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 384, 860, 86, 812?
GCD of 384, 860, 86, 812 is 2
2. Where do I get the detailed procedure to find GCD of 384, 860, 86, 812?
You can find a detailed procedure to find GCD of 384, 860, 86, 812 on our page.
3. How to find GCD of 384, 860, 86, 812 on a calculator?
You can find the GCD of 384, 860, 86, 812 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.