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 100, 423, 494 i.e. 1 largest integer that divides all the numbers equally.
GCD of 100, 423, 494 is 1
GCD(100, 423, 494) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 100, 423, 494 is 1
GCD(100, 423, 494) = 1
Given Input numbers are 100, 423, 494
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 100
List of positive integer divisors of 100 that divides 100 without a remainder.
1, 2, 4, 5, 10, 20, 25, 50, 100
Divisors of 423
List of positive integer divisors of 423 that divides 423 without a remainder.
1, 3, 9, 47, 141, 423
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 100, 423, 494 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 100, 423, 494 is 1.
Therefore, GCD of numbers 100, 423, 494 is 1
Given Input Data is 100, 423, 494
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 100 is 2 x 2 x 5 x 5
Prime Factorization of 423 is 3 x 3 x 47
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(100, 423) = 42300
GCD(100, 423) = ( 100 x 423 ) / 42300
GCD(100, 423) = 42300 / 42300
GCD(100, 423) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 494
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 494) = 494
GCD(1, 494) = ( 1 x 494 ) / 494
GCD(1, 494) = 494 / 494
GCD(1, 494) = 1
GCD of 100, 423, 494 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 100, 423, 494?
GCD of 100, 423, 494 is 1
2. Where do I get the detailed procedure to find GCD of 100, 423, 494?
You can find a detailed procedure to find GCD of 100, 423, 494 on our page.
3. How to find GCD of 100, 423, 494 on a calculator?
You can find the GCD of 100, 423, 494 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.