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 646, 494, 474, 629 i.e. 1 largest integer that divides all the numbers equally.
GCD of 646, 494, 474, 629 is 1
GCD(646, 494, 474, 629) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 646, 494, 474, 629 is 1
GCD(646, 494, 474, 629) = 1
Given Input numbers are 646, 494, 474, 629
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 646
List of positive integer divisors of 646 that divides 646 without a remainder.
1, 2, 17, 19, 34, 38, 323, 646
Divisors of 494
List of positive integer divisors of 494 that divides 494 without a remainder.
1, 2, 13, 19, 26, 38, 247, 494
Divisors of 474
List of positive integer divisors of 474 that divides 474 without a remainder.
1, 2, 3, 6, 79, 158, 237, 474
Divisors of 629
List of positive integer divisors of 629 that divides 629 without a remainder.
1, 17, 37, 629
Greatest Common Divisior
We found the divisors of 646, 494, 474, 629 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 646, 494, 474, 629 is 1.
Therefore, GCD of numbers 646, 494, 474, 629 is 1
Given Input Data is 646, 494, 474, 629
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 646 is 2 x 17 x 19
Prime Factorization of 494 is 2 x 13 x 19
Prime Factorization of 474 is 2 x 3 x 79
Prime Factorization of 629 is 17 x 37
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(646, 494) = 8398
GCD(646, 494) = ( 646 x 494 ) / 8398
GCD(646, 494) = 319124 / 8398
GCD(646, 494) = 38
Step2:
Here we consider the GCD from the above i.e. 38 as first number and the next as 474
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(38, 474) = 9006
GCD(38, 474) = ( 38 x 474 ) / 9006
GCD(38, 474) = 18012 / 9006
GCD(38, 474) = 2
Step3:
Here we consider the GCD from the above i.e. 2 as first number and the next as 629
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 629) = 1258
GCD(2, 629) = ( 2 x 629 ) / 1258
GCD(2, 629) = 1258 / 1258
GCD(2, 629) = 1
GCD of 646, 494, 474, 629 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 646, 494, 474, 629?
GCD of 646, 494, 474, 629 is 1
2. Where do I get the detailed procedure to find GCD of 646, 494, 474, 629?
You can find a detailed procedure to find GCD of 646, 494, 474, 629 on our page.
3. How to find GCD of 646, 494, 474, 629 on a calculator?
You can find the GCD of 646, 494, 474, 629 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.