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, 668, 424, 820 i.e. 4 largest integer that divides all the numbers equally.
GCD of 384, 668, 424, 820 is 4
GCD(384, 668, 424, 820) = 4
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 384, 668, 424, 820 is 4
GCD(384, 668, 424, 820) = 4
Given Input numbers are 384, 668, 424, 820
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 668
List of positive integer divisors of 668 that divides 668 without a remainder.
1, 2, 4, 167, 334, 668
Divisors of 424
List of positive integer divisors of 424 that divides 424 without a remainder.
1, 2, 4, 8, 53, 106, 212, 424
Divisors of 820
List of positive integer divisors of 820 that divides 820 without a remainder.
1, 2, 4, 5, 10, 20, 41, 82, 164, 205, 410, 820
Greatest Common Divisior
We found the divisors of 384, 668, 424, 820 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 384, 668, 424, 820 is 4.
Therefore, GCD of numbers 384, 668, 424, 820 is 4
Given Input Data is 384, 668, 424, 820
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 668 is 2 x 2 x 167
Prime Factorization of 424 is 2 x 2 x 2 x 53
Prime Factorization of 820 is 2 x 2 x 5 x 41
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(384, 668) = 64128
GCD(384, 668) = ( 384 x 668 ) / 64128
GCD(384, 668) = 256512 / 64128
GCD(384, 668) = 4
Step2:
Here we consider the GCD from the above i.e. 4 as first number and the next as 424
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(4, 424) = 424
GCD(4, 424) = ( 4 x 424 ) / 424
GCD(4, 424) = 1696 / 424
GCD(4, 424) = 4
Step3:
Here we consider the GCD from the above i.e. 4 as first number and the next as 820
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(4, 820) = 820
GCD(4, 820) = ( 4 x 820 ) / 820
GCD(4, 820) = 3280 / 820
GCD(4, 820) = 4
GCD of 384, 668, 424, 820 is 4
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 384, 668, 424, 820?
GCD of 384, 668, 424, 820 is 4
2. Where do I get the detailed procedure to find GCD of 384, 668, 424, 820?
You can find a detailed procedure to find GCD of 384, 668, 424, 820 on our page.
3. How to find GCD of 384, 668, 424, 820 on a calculator?
You can find the GCD of 384, 668, 424, 820 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.