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, 968, 189, 297 i.e. 1 largest integer that divides all the numbers equally.
GCD of 422, 968, 189, 297 is 1
GCD(422, 968, 189, 297) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 422, 968, 189, 297 is 1
GCD(422, 968, 189, 297) = 1
Given Input numbers are 422, 968, 189, 297
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 968
List of positive integer divisors of 968 that divides 968 without a remainder.
1, 2, 4, 8, 11, 22, 44, 88, 121, 242, 484, 968
Divisors of 189
List of positive integer divisors of 189 that divides 189 without a remainder.
1, 3, 7, 9, 21, 27, 63, 189
Divisors of 297
List of positive integer divisors of 297 that divides 297 without a remainder.
1, 3, 9, 11, 27, 33, 99, 297
Greatest Common Divisior
We found the divisors of 422, 968, 189, 297 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 422, 968, 189, 297 is 1.
Therefore, GCD of numbers 422, 968, 189, 297 is 1
Given Input Data is 422, 968, 189, 297
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 422 is 2 x 211
Prime Factorization of 968 is 2 x 2 x 2 x 11 x 11
Prime Factorization of 189 is 3 x 3 x 3 x 7
Prime Factorization of 297 is 3 x 3 x 3 x 11
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, 968) = 204248
GCD(422, 968) = ( 422 x 968 ) / 204248
GCD(422, 968) = 408496 / 204248
GCD(422, 968) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 189
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 189) = 378
GCD(2, 189) = ( 2 x 189 ) / 378
GCD(2, 189) = 378 / 378
GCD(2, 189) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 297
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 297) = 297
GCD(1, 297) = ( 1 x 297 ) / 297
GCD(1, 297) = 297 / 297
GCD(1, 297) = 1
GCD of 422, 968, 189, 297 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 422, 968, 189, 297?
GCD of 422, 968, 189, 297 is 1
2. Where do I get the detailed procedure to find GCD of 422, 968, 189, 297?
You can find a detailed procedure to find GCD of 422, 968, 189, 297 on our page.
3. How to find GCD of 422, 968, 189, 297 on a calculator?
You can find the GCD of 422, 968, 189, 297 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.