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 648, 723, 102, 494 i.e. 1 largest integer that divides all the numbers equally.
GCD of 648, 723, 102, 494 is 1
GCD(648, 723, 102, 494) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 648, 723, 102, 494 is 1
GCD(648, 723, 102, 494) = 1
Given Input numbers are 648, 723, 102, 494
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 648
List of positive integer divisors of 648 that divides 648 without a remainder.
1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 81, 108, 162, 216, 324, 648
Divisors of 723
List of positive integer divisors of 723 that divides 723 without a remainder.
1, 3, 241, 723
Divisors of 102
List of positive integer divisors of 102 that divides 102 without a remainder.
1, 2, 3, 6, 17, 34, 51, 102
Divisors of 494
List of positive integer divisors of 494 that divides 494 without a remainder.
1, 2, 13, 19, 26, 38, 247, 494
Greatest Common Divisior
We found the divisors of 648, 723, 102, 494 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 648, 723, 102, 494 is 1.
Therefore, GCD of numbers 648, 723, 102, 494 is 1
Given Input Data is 648, 723, 102, 494
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 648 is 2 x 2 x 2 x 3 x 3 x 3 x 3
Prime Factorization of 723 is 3 x 241
Prime Factorization of 102 is 2 x 3 x 17
Prime Factorization of 494 is 2 x 13 x 19
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(648, 723) = 156168
GCD(648, 723) = ( 648 x 723 ) / 156168
GCD(648, 723) = 468504 / 156168
GCD(648, 723) = 3
Step2:
Here we consider the GCD from the above i.e. 3 as first number and the next as 102
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 102) = 102
GCD(3, 102) = ( 3 x 102 ) / 102
GCD(3, 102) = 306 / 102
GCD(3, 102) = 3
Step3:
Here we consider the GCD from the above i.e. 3 as first number and the next as 494
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 494) = 1482
GCD(3, 494) = ( 3 x 494 ) / 1482
GCD(3, 494) = 1482 / 1482
GCD(3, 494) = 1
GCD of 648, 723, 102, 494 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 648, 723, 102, 494?
GCD of 648, 723, 102, 494 is 1
2. Where do I get the detailed procedure to find GCD of 648, 723, 102, 494?
You can find a detailed procedure to find GCD of 648, 723, 102, 494 on our page.
3. How to find GCD of 648, 723, 102, 494 on a calculator?
You can find the GCD of 648, 723, 102, 494 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.