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 622, 134, 676, 384 i.e. 2 largest integer that divides all the numbers equally.
GCD of 622, 134, 676, 384 is 2
GCD(622, 134, 676, 384) = 2
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 622, 134, 676, 384 is 2
GCD(622, 134, 676, 384) = 2
Given Input numbers are 622, 134, 676, 384
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 622
List of positive integer divisors of 622 that divides 622 without a remainder.
1, 2, 311, 622
Divisors of 134
List of positive integer divisors of 134 that divides 134 without a remainder.
1, 2, 67, 134
Divisors of 676
List of positive integer divisors of 676 that divides 676 without a remainder.
1, 2, 4, 13, 26, 52, 169, 338, 676
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
Greatest Common Divisior
We found the divisors of 622, 134, 676, 384 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 622, 134, 676, 384 is 2.
Therefore, GCD of numbers 622, 134, 676, 384 is 2
Given Input Data is 622, 134, 676, 384
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 622 is 2 x 311
Prime Factorization of 134 is 2 x 67
Prime Factorization of 676 is 2 x 2 x 13 x 13
Prime Factorization of 384 is 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3
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(622, 134) = 41674
GCD(622, 134) = ( 622 x 134 ) / 41674
GCD(622, 134) = 83348 / 41674
GCD(622, 134) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 676
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 676) = 676
GCD(2, 676) = ( 2 x 676 ) / 676
GCD(2, 676) = 1352 / 676
GCD(2, 676) = 2
Step3:
Here we consider the GCD from the above i.e. 2 as first number and the next as 384
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 384) = 384
GCD(2, 384) = ( 2 x 384 ) / 384
GCD(2, 384) = 768 / 384
GCD(2, 384) = 2
GCD of 622, 134, 676, 384 is 2
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 622, 134, 676, 384?
GCD of 622, 134, 676, 384 is 2
2. Where do I get the detailed procedure to find GCD of 622, 134, 676, 384?
You can find a detailed procedure to find GCD of 622, 134, 676, 384 on our page.
3. How to find GCD of 622, 134, 676, 384 on a calculator?
You can find the GCD of 622, 134, 676, 384 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.