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 107, 494, 396, 496 i.e. 1 largest integer that divides all the numbers equally.
GCD of 107, 494, 396, 496 is 1
GCD(107, 494, 396, 496) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 107, 494, 396, 496 is 1
GCD(107, 494, 396, 496) = 1
Given Input numbers are 107, 494, 396, 496
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 107
List of positive integer divisors of 107 that divides 107 without a remainder.
1, 107
Divisors of 494
List of positive integer divisors of 494 that divides 494 without a remainder.
1, 2, 13, 19, 26, 38, 247, 494
Divisors of 396
List of positive integer divisors of 396 that divides 396 without a remainder.
1, 2, 3, 4, 6, 9, 11, 12, 18, 22, 33, 36, 44, 66, 99, 132, 198, 396
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
Greatest Common Divisior
We found the divisors of 107, 494, 396, 496 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 107, 494, 396, 496 is 1.
Therefore, GCD of numbers 107, 494, 396, 496 is 1
Given Input Data is 107, 494, 396, 496
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 107 is 107
Prime Factorization of 494 is 2 x 13 x 19
Prime Factorization of 396 is 2 x 2 x 3 x 3 x 11
Prime Factorization of 496 is 2 x 2 x 2 x 2 x 31
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(107, 494) = 52858
GCD(107, 494) = ( 107 x 494 ) / 52858
GCD(107, 494) = 52858 / 52858
GCD(107, 494) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 396
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 396) = 396
GCD(1, 396) = ( 1 x 396 ) / 396
GCD(1, 396) = 396 / 396
GCD(1, 396) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 496
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 496) = 496
GCD(1, 496) = ( 1 x 496 ) / 496
GCD(1, 496) = 496 / 496
GCD(1, 496) = 1
GCD of 107, 494, 396, 496 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 107, 494, 396, 496?
GCD of 107, 494, 396, 496 is 1
2. Where do I get the detailed procedure to find GCD of 107, 494, 396, 496?
You can find a detailed procedure to find GCD of 107, 494, 396, 496 on our page.
3. How to find GCD of 107, 494, 396, 496 on a calculator?
You can find the GCD of 107, 494, 396, 496 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.