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, 658, 99, 922 i.e. 1 largest integer that divides all the numbers equally.
GCD of 422, 658, 99, 922 is 1
GCD(422, 658, 99, 922) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 422, 658, 99, 922 is 1
GCD(422, 658, 99, 922) = 1
Given Input numbers are 422, 658, 99, 922
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 658
List of positive integer divisors of 658 that divides 658 without a remainder.
1, 2, 7, 14, 47, 94, 329, 658
Divisors of 99
List of positive integer divisors of 99 that divides 99 without a remainder.
1, 3, 9, 11, 33, 99
Divisors of 922
List of positive integer divisors of 922 that divides 922 without a remainder.
1, 2, 461, 922
Greatest Common Divisior
We found the divisors of 422, 658, 99, 922 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 422, 658, 99, 922 is 1.
Therefore, GCD of numbers 422, 658, 99, 922 is 1
Given Input Data is 422, 658, 99, 922
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 422 is 2 x 211
Prime Factorization of 658 is 2 x 7 x 47
Prime Factorization of 99 is 3 x 3 x 11
Prime Factorization of 922 is 2 x 461
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, 658) = 138838
GCD(422, 658) = ( 422 x 658 ) / 138838
GCD(422, 658) = 277676 / 138838
GCD(422, 658) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 99
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 99) = 198
GCD(2, 99) = ( 2 x 99 ) / 198
GCD(2, 99) = 198 / 198
GCD(2, 99) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 922
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 922) = 922
GCD(1, 922) = ( 1 x 922 ) / 922
GCD(1, 922) = 922 / 922
GCD(1, 922) = 1
GCD of 422, 658, 99, 922 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 422, 658, 99, 922?
GCD of 422, 658, 99, 922 is 1
2. Where do I get the detailed procedure to find GCD of 422, 658, 99, 922?
You can find a detailed procedure to find GCD of 422, 658, 99, 922 on our page.
3. How to find GCD of 422, 658, 99, 922 on a calculator?
You can find the GCD of 422, 658, 99, 922 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.