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 774, 493, 630 i.e. 1 largest integer that divides all the numbers equally.
GCD of 774, 493, 630 is 1
GCD(774, 493, 630) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 774, 493, 630 is 1
GCD(774, 493, 630) = 1
Given Input numbers are 774, 493, 630
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 774
List of positive integer divisors of 774 that divides 774 without a remainder.
1, 2, 3, 6, 9, 18, 43, 86, 129, 258, 387, 774
Divisors of 493
List of positive integer divisors of 493 that divides 493 without a remainder.
1, 17, 29, 493
Divisors of 630
List of positive integer divisors of 630 that divides 630 without a remainder.
1, 2, 3, 5, 6, 7, 9, 10, 14, 15, 18, 21, 30, 35, 42, 45, 63, 70, 90, 105, 126, 210, 315, 630
Greatest Common Divisior
We found the divisors of 774, 493, 630 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 774, 493, 630 is 1.
Therefore, GCD of numbers 774, 493, 630 is 1
Given Input Data is 774, 493, 630
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 774 is 2 x 3 x 3 x 43
Prime Factorization of 493 is 17 x 29
Prime Factorization of 630 is 2 x 3 x 3 x 5 x 7
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(774, 493) = 381582
GCD(774, 493) = ( 774 x 493 ) / 381582
GCD(774, 493) = 381582 / 381582
GCD(774, 493) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 630
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 630) = 630
GCD(1, 630) = ( 1 x 630 ) / 630
GCD(1, 630) = 630 / 630
GCD(1, 630) = 1
GCD of 774, 493, 630 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 774, 493, 630?
GCD of 774, 493, 630 is 1
2. Where do I get the detailed procedure to find GCD of 774, 493, 630?
You can find a detailed procedure to find GCD of 774, 493, 630 on our page.
3. How to find GCD of 774, 493, 630 on a calculator?
You can find the GCD of 774, 493, 630 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.