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 630, 500, 656, 793 i.e. 1 largest integer that divides all the numbers equally.
GCD of 630, 500, 656, 793 is 1
GCD(630, 500, 656, 793) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 630, 500, 656, 793 is 1
GCD(630, 500, 656, 793) = 1
Given Input numbers are 630, 500, 656, 793
To find the GCD of numbers using factoring list out all the divisors of each number
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
Divisors of 500
List of positive integer divisors of 500 that divides 500 without a remainder.
1, 2, 4, 5, 10, 20, 25, 50, 100, 125, 250, 500
Divisors of 656
List of positive integer divisors of 656 that divides 656 without a remainder.
1, 2, 4, 8, 16, 41, 82, 164, 328, 656
Divisors of 793
List of positive integer divisors of 793 that divides 793 without a remainder.
1, 13, 61, 793
Greatest Common Divisior
We found the divisors of 630, 500, 656, 793 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 630, 500, 656, 793 is 1.
Therefore, GCD of numbers 630, 500, 656, 793 is 1
Given Input Data is 630, 500, 656, 793
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 630 is 2 x 3 x 3 x 5 x 7
Prime Factorization of 500 is 2 x 2 x 5 x 5 x 5
Prime Factorization of 656 is 2 x 2 x 2 x 2 x 41
Prime Factorization of 793 is 13 x 61
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(630, 500) = 31500
GCD(630, 500) = ( 630 x 500 ) / 31500
GCD(630, 500) = 315000 / 31500
GCD(630, 500) = 10
Step2:
Here we consider the GCD from the above i.e. 10 as first number and the next as 656
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(10, 656) = 3280
GCD(10, 656) = ( 10 x 656 ) / 3280
GCD(10, 656) = 6560 / 3280
GCD(10, 656) = 2
Step3:
Here we consider the GCD from the above i.e. 2 as first number and the next as 793
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 793) = 1586
GCD(2, 793) = ( 2 x 793 ) / 1586
GCD(2, 793) = 1586 / 1586
GCD(2, 793) = 1
GCD of 630, 500, 656, 793 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 630, 500, 656, 793?
GCD of 630, 500, 656, 793 is 1
2. Where do I get the detailed procedure to find GCD of 630, 500, 656, 793?
You can find a detailed procedure to find GCD of 630, 500, 656, 793 on our page.
3. How to find GCD of 630, 500, 656, 793 on a calculator?
You can find the GCD of 630, 500, 656, 793 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.