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 496, 426, 403, 594 i.e. 1 largest integer that divides all the numbers equally.
GCD of 496, 426, 403, 594 is 1
GCD(496, 426, 403, 594) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 496, 426, 403, 594 is 1
GCD(496, 426, 403, 594) = 1
Given Input numbers are 496, 426, 403, 594
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 496
List of positive integer divisors of 496 that divides 496 without a remainder.
1, 2, 4, 8, 16, 31, 62, 124, 248, 496
Divisors of 426
List of positive integer divisors of 426 that divides 426 without a remainder.
1, 2, 3, 6, 71, 142, 213, 426
Divisors of 403
List of positive integer divisors of 403 that divides 403 without a remainder.
1, 13, 31, 403
Divisors of 594
List of positive integer divisors of 594 that divides 594 without a remainder.
1, 2, 3, 6, 9, 11, 18, 22, 27, 33, 54, 66, 99, 198, 297, 594
Greatest Common Divisior
We found the divisors of 496, 426, 403, 594 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 496, 426, 403, 594 is 1.
Therefore, GCD of numbers 496, 426, 403, 594 is 1
Given Input Data is 496, 426, 403, 594
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 496 is 2 x 2 x 2 x 2 x 31
Prime Factorization of 426 is 2 x 3 x 71
Prime Factorization of 403 is 13 x 31
Prime Factorization of 594 is 2 x 3 x 3 x 3 x 11
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(496, 426) = 105648
GCD(496, 426) = ( 496 x 426 ) / 105648
GCD(496, 426) = 211296 / 105648
GCD(496, 426) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 403
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 403) = 806
GCD(2, 403) = ( 2 x 403 ) / 806
GCD(2, 403) = 806 / 806
GCD(2, 403) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 594
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 594) = 594
GCD(1, 594) = ( 1 x 594 ) / 594
GCD(1, 594) = 594 / 594
GCD(1, 594) = 1
GCD of 496, 426, 403, 594 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 496, 426, 403, 594?
GCD of 496, 426, 403, 594 is 1
2. Where do I get the detailed procedure to find GCD of 496, 426, 403, 594?
You can find a detailed procedure to find GCD of 496, 426, 403, 594 on our page.
3. How to find GCD of 496, 426, 403, 594 on a calculator?
You can find the GCD of 496, 426, 403, 594 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.