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, 274, 73, 631 i.e. 1 largest integer that divides all the numbers equally.
GCD of 646, 274, 73, 631 is 1
GCD(646, 274, 73, 631) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 646, 274, 73, 631 is 1
GCD(646, 274, 73, 631) = 1
Given Input numbers are 646, 274, 73, 631
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 274
List of positive integer divisors of 274 that divides 274 without a remainder.
1, 2, 137, 274
Divisors of 73
List of positive integer divisors of 73 that divides 73 without a remainder.
1, 73
Divisors of 631
List of positive integer divisors of 631 that divides 631 without a remainder.
1, 631
Greatest Common Divisior
We found the divisors of 646, 274, 73, 631 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 646, 274, 73, 631 is 1.
Therefore, GCD of numbers 646, 274, 73, 631 is 1
Given Input Data is 646, 274, 73, 631
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 274 is 2 x 137
Prime Factorization of 73 is 73
Prime Factorization of 631 is 631
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, 274) = 88502
GCD(646, 274) = ( 646 x 274 ) / 88502
GCD(646, 274) = 177004 / 88502
GCD(646, 274) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 73
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 73) = 146
GCD(2, 73) = ( 2 x 73 ) / 146
GCD(2, 73) = 146 / 146
GCD(2, 73) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 631
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 631) = 631
GCD(1, 631) = ( 1 x 631 ) / 631
GCD(1, 631) = 631 / 631
GCD(1, 631) = 1
GCD of 646, 274, 73, 631 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 646, 274, 73, 631?
GCD of 646, 274, 73, 631 is 1
2. Where do I get the detailed procedure to find GCD of 646, 274, 73, 631?
You can find a detailed procedure to find GCD of 646, 274, 73, 631 on our page.
3. How to find GCD of 646, 274, 73, 631 on a calculator?
You can find the GCD of 646, 274, 73, 631 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.