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 422, 485, 894, 498 i.e. 1 largest integer that divides all the numbers equally.
GCD of 422, 485, 894, 498 is 1
GCD(422, 485, 894, 498) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 422, 485, 894, 498 is 1
GCD(422, 485, 894, 498) = 1
Given Input numbers are 422, 485, 894, 498
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 422
List of positive integer divisors of 422 that divides 422 without a remainder.
1, 2, 211, 422
Divisors of 485
List of positive integer divisors of 485 that divides 485 without a remainder.
1, 5, 97, 485
Divisors of 894
List of positive integer divisors of 894 that divides 894 without a remainder.
1, 2, 3, 6, 149, 298, 447, 894
Divisors of 498
List of positive integer divisors of 498 that divides 498 without a remainder.
1, 2, 3, 6, 83, 166, 249, 498
Greatest Common Divisior
We found the divisors of 422, 485, 894, 498 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 422, 485, 894, 498 is 1.
Therefore, GCD of numbers 422, 485, 894, 498 is 1
Given Input Data is 422, 485, 894, 498
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 422 is 2 x 211
Prime Factorization of 485 is 5 x 97
Prime Factorization of 894 is 2 x 3 x 149
Prime Factorization of 498 is 2 x 3 x 83
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(422, 485) = 204670
GCD(422, 485) = ( 422 x 485 ) / 204670
GCD(422, 485) = 204670 / 204670
GCD(422, 485) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 894
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 894) = 894
GCD(1, 894) = ( 1 x 894 ) / 894
GCD(1, 894) = 894 / 894
GCD(1, 894) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 498
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 498) = 498
GCD(1, 498) = ( 1 x 498 ) / 498
GCD(1, 498) = 498 / 498
GCD(1, 498) = 1
GCD of 422, 485, 894, 498 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 422, 485, 894, 498?
GCD of 422, 485, 894, 498 is 1
2. Where do I get the detailed procedure to find GCD of 422, 485, 894, 498?
You can find a detailed procedure to find GCD of 422, 485, 894, 498 on our page.
3. How to find GCD of 422, 485, 894, 498 on a calculator?
You can find the GCD of 422, 485, 894, 498 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.