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 198, 665, 86, 643 i.e. 1 largest integer that divides all the numbers equally.
GCD of 198, 665, 86, 643 is 1
GCD(198, 665, 86, 643) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 198, 665, 86, 643 is 1
GCD(198, 665, 86, 643) = 1
Given Input numbers are 198, 665, 86, 643
To find the GCD of numbers using factoring list out all the divisors of each number
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 665
List of positive integer divisors of 665 that divides 665 without a remainder.
1, 5, 7, 19, 35, 95, 133, 665
Divisors of 86
List of positive integer divisors of 86 that divides 86 without a remainder.
1, 2, 43, 86
Divisors of 643
List of positive integer divisors of 643 that divides 643 without a remainder.
1, 643
Greatest Common Divisior
We found the divisors of 198, 665, 86, 643 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 198, 665, 86, 643 is 1.
Therefore, GCD of numbers 198, 665, 86, 643 is 1
Given Input Data is 198, 665, 86, 643
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 198 is 2 x 3 x 3 x 11
Prime Factorization of 665 is 5 x 7 x 19
Prime Factorization of 86 is 2 x 43
Prime Factorization of 643 is 643
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(198, 665) = 131670
GCD(198, 665) = ( 198 x 665 ) / 131670
GCD(198, 665) = 131670 / 131670
GCD(198, 665) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 86
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 86) = 86
GCD(1, 86) = ( 1 x 86 ) / 86
GCD(1, 86) = 86 / 86
GCD(1, 86) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 643
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 643) = 643
GCD(1, 643) = ( 1 x 643 ) / 643
GCD(1, 643) = 643 / 643
GCD(1, 643) = 1
GCD of 198, 665, 86, 643 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 198, 665, 86, 643?
GCD of 198, 665, 86, 643 is 1
2. Where do I get the detailed procedure to find GCD of 198, 665, 86, 643?
You can find a detailed procedure to find GCD of 198, 665, 86, 643 on our page.
3. How to find GCD of 198, 665, 86, 643 on a calculator?
You can find the GCD of 198, 665, 86, 643 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.