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 626, 644, 502, 622 i.e. 2 largest integer that divides all the numbers equally.
GCD of 626, 644, 502, 622 is 2
GCD(626, 644, 502, 622) = 2
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 626, 644, 502, 622 is 2
GCD(626, 644, 502, 622) = 2
Given Input numbers are 626, 644, 502, 622
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 626
List of positive integer divisors of 626 that divides 626 without a remainder.
1, 2, 313, 626
Divisors of 644
List of positive integer divisors of 644 that divides 644 without a remainder.
1, 2, 4, 7, 14, 23, 28, 46, 92, 161, 322, 644
Divisors of 502
List of positive integer divisors of 502 that divides 502 without a remainder.
1, 2, 251, 502
Divisors of 622
List of positive integer divisors of 622 that divides 622 without a remainder.
1, 2, 311, 622
Greatest Common Divisior
We found the divisors of 626, 644, 502, 622 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 626, 644, 502, 622 is 2.
Therefore, GCD of numbers 626, 644, 502, 622 is 2
Given Input Data is 626, 644, 502, 622
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 626 is 2 x 313
Prime Factorization of 644 is 2 x 2 x 7 x 23
Prime Factorization of 502 is 2 x 251
Prime Factorization of 622 is 2 x 311
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(626, 644) = 201572
GCD(626, 644) = ( 626 x 644 ) / 201572
GCD(626, 644) = 403144 / 201572
GCD(626, 644) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 502
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 502) = 502
GCD(2, 502) = ( 2 x 502 ) / 502
GCD(2, 502) = 1004 / 502
GCD(2, 502) = 2
Step3:
Here we consider the GCD from the above i.e. 2 as first number and the next as 622
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 622) = 622
GCD(2, 622) = ( 2 x 622 ) / 622
GCD(2, 622) = 1244 / 622
GCD(2, 622) = 2
GCD of 626, 644, 502, 622 is 2
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 626, 644, 502, 622?
GCD of 626, 644, 502, 622 is 2
2. Where do I get the detailed procedure to find GCD of 626, 644, 502, 622?
You can find a detailed procedure to find GCD of 626, 644, 502, 622 on our page.
3. How to find GCD of 626, 644, 502, 622 on a calculator?
You can find the GCD of 626, 644, 502, 622 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.