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 424, 442, 118, 585 i.e. 1 largest integer that divides all the numbers equally.
GCD of 424, 442, 118, 585 is 1
GCD(424, 442, 118, 585) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 424, 442, 118, 585 is 1
GCD(424, 442, 118, 585) = 1
Given Input numbers are 424, 442, 118, 585
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 424
List of positive integer divisors of 424 that divides 424 without a remainder.
1, 2, 4, 8, 53, 106, 212, 424
Divisors of 442
List of positive integer divisors of 442 that divides 442 without a remainder.
1, 2, 13, 17, 26, 34, 221, 442
Divisors of 118
List of positive integer divisors of 118 that divides 118 without a remainder.
1, 2, 59, 118
Divisors of 585
List of positive integer divisors of 585 that divides 585 without a remainder.
1, 3, 5, 9, 13, 15, 39, 45, 65, 117, 195, 585
Greatest Common Divisior
We found the divisors of 424, 442, 118, 585 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 424, 442, 118, 585 is 1.
Therefore, GCD of numbers 424, 442, 118, 585 is 1
Given Input Data is 424, 442, 118, 585
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 424 is 2 x 2 x 2 x 53
Prime Factorization of 442 is 2 x 13 x 17
Prime Factorization of 118 is 2 x 59
Prime Factorization of 585 is 3 x 3 x 5 x 13
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(424, 442) = 93704
GCD(424, 442) = ( 424 x 442 ) / 93704
GCD(424, 442) = 187408 / 93704
GCD(424, 442) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 118
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 118) = 118
GCD(2, 118) = ( 2 x 118 ) / 118
GCD(2, 118) = 236 / 118
GCD(2, 118) = 2
Step3:
Here we consider the GCD from the above i.e. 2 as first number and the next as 585
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 585) = 1170
GCD(2, 585) = ( 2 x 585 ) / 1170
GCD(2, 585) = 1170 / 1170
GCD(2, 585) = 1
GCD of 424, 442, 118, 585 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 424, 442, 118, 585?
GCD of 424, 442, 118, 585 is 1
2. Where do I get the detailed procedure to find GCD of 424, 442, 118, 585?
You can find a detailed procedure to find GCD of 424, 442, 118, 585 on our page.
3. How to find GCD of 424, 442, 118, 585 on a calculator?
You can find the GCD of 424, 442, 118, 585 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.