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 865, 656, 198, 322 i.e. 1 largest integer that divides all the numbers equally.
GCD of 865, 656, 198, 322 is 1
GCD(865, 656, 198, 322) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 865, 656, 198, 322 is 1
GCD(865, 656, 198, 322) = 1
Given Input numbers are 865, 656, 198, 322
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 865
List of positive integer divisors of 865 that divides 865 without a remainder.
1, 5, 173, 865
Divisors of 656
List of positive integer divisors of 656 that divides 656 without a remainder.
1, 2, 4, 8, 16, 41, 82, 164, 328, 656
Divisors of 198
List of positive integer divisors of 198 that divides 198 without a remainder.
1, 2, 3, 6, 9, 11, 18, 22, 33, 66, 99, 198
Divisors of 322
List of positive integer divisors of 322 that divides 322 without a remainder.
1, 2, 7, 14, 23, 46, 161, 322
Greatest Common Divisior
We found the divisors of 865, 656, 198, 322 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 865, 656, 198, 322 is 1.
Therefore, GCD of numbers 865, 656, 198, 322 is 1
Given Input Data is 865, 656, 198, 322
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 865 is 5 x 173
Prime Factorization of 656 is 2 x 2 x 2 x 2 x 41
Prime Factorization of 198 is 2 x 3 x 3 x 11
Prime Factorization of 322 is 2 x 7 x 23
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(865, 656) = 567440
GCD(865, 656) = ( 865 x 656 ) / 567440
GCD(865, 656) = 567440 / 567440
GCD(865, 656) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 198
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 198) = 198
GCD(1, 198) = ( 1 x 198 ) / 198
GCD(1, 198) = 198 / 198
GCD(1, 198) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 322
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 322) = 322
GCD(1, 322) = ( 1 x 322 ) / 322
GCD(1, 322) = 322 / 322
GCD(1, 322) = 1
GCD of 865, 656, 198, 322 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 865, 656, 198, 322?
GCD of 865, 656, 198, 322 is 1
2. Where do I get the detailed procedure to find GCD of 865, 656, 198, 322?
You can find a detailed procedure to find GCD of 865, 656, 198, 322 on our page.
3. How to find GCD of 865, 656, 198, 322 on a calculator?
You can find the GCD of 865, 656, 198, 322 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.