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 20, 419, 442, 285 i.e. 1 largest integer that divides all the numbers equally.
GCD of 20, 419, 442, 285 is 1
GCD(20, 419, 442, 285) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 20, 419, 442, 285 is 1
GCD(20, 419, 442, 285) = 1
Given Input numbers are 20, 419, 442, 285
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 20
List of positive integer divisors of 20 that divides 20 without a remainder.
1, 2, 4, 5, 10, 20
Divisors of 419
List of positive integer divisors of 419 that divides 419 without a remainder.
1, 419
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 285
List of positive integer divisors of 285 that divides 285 without a remainder.
1, 3, 5, 15, 19, 57, 95, 285
Greatest Common Divisior
We found the divisors of 20, 419, 442, 285 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 20, 419, 442, 285 is 1.
Therefore, GCD of numbers 20, 419, 442, 285 is 1
Given Input Data is 20, 419, 442, 285
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 20 is 2 x 2 x 5
Prime Factorization of 419 is 419
Prime Factorization of 442 is 2 x 13 x 17
Prime Factorization of 285 is 3 x 5 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(20, 419) = 8380
GCD(20, 419) = ( 20 x 419 ) / 8380
GCD(20, 419) = 8380 / 8380
GCD(20, 419) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 442
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 442) = 442
GCD(1, 442) = ( 1 x 442 ) / 442
GCD(1, 442) = 442 / 442
GCD(1, 442) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 285
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 285) = 285
GCD(1, 285) = ( 1 x 285 ) / 285
GCD(1, 285) = 285 / 285
GCD(1, 285) = 1
GCD of 20, 419, 442, 285 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 20, 419, 442, 285?
GCD of 20, 419, 442, 285 is 1
2. Where do I get the detailed procedure to find GCD of 20, 419, 442, 285?
You can find a detailed procedure to find GCD of 20, 419, 442, 285 on our page.
3. How to find GCD of 20, 419, 442, 285 on a calculator?
You can find the GCD of 20, 419, 442, 285 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.