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, 657, 12, 508 i.e. 1 largest integer that divides all the numbers equally.
GCD of 626, 657, 12, 508 is 1
GCD(626, 657, 12, 508) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 626, 657, 12, 508 is 1
GCD(626, 657, 12, 508) = 1
Given Input numbers are 626, 657, 12, 508
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 657
List of positive integer divisors of 657 that divides 657 without a remainder.
1, 3, 9, 73, 219, 657
Divisors of 12
List of positive integer divisors of 12 that divides 12 without a remainder.
1, 2, 3, 4, 6, 12
Divisors of 508
List of positive integer divisors of 508 that divides 508 without a remainder.
1, 2, 4, 127, 254, 508
Greatest Common Divisior
We found the divisors of 626, 657, 12, 508 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 626, 657, 12, 508 is 1.
Therefore, GCD of numbers 626, 657, 12, 508 is 1
Given Input Data is 626, 657, 12, 508
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 626 is 2 x 313
Prime Factorization of 657 is 3 x 3 x 73
Prime Factorization of 12 is 2 x 2 x 3
Prime Factorization of 508 is 2 x 2 x 127
The above numbers do not have any common prime factor. So GCD is 1
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, 657) = 411282
GCD(626, 657) = ( 626 x 657 ) / 411282
GCD(626, 657) = 411282 / 411282
GCD(626, 657) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 12
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 12) = 12
GCD(1, 12) = ( 1 x 12 ) / 12
GCD(1, 12) = 12 / 12
GCD(1, 12) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 508
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 508) = 508
GCD(1, 508) = ( 1 x 508 ) / 508
GCD(1, 508) = 508 / 508
GCD(1, 508) = 1
GCD of 626, 657, 12, 508 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 626, 657, 12, 508?
GCD of 626, 657, 12, 508 is 1
2. Where do I get the detailed procedure to find GCD of 626, 657, 12, 508?
You can find a detailed procedure to find GCD of 626, 657, 12, 508 on our page.
3. How to find GCD of 626, 657, 12, 508 on a calculator?
You can find the GCD of 626, 657, 12, 508 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.