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, 621, 13, 907 i.e. 1 largest integer that divides all the numbers equally.
GCD of 198, 621, 13, 907 is 1
GCD(198, 621, 13, 907) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 198, 621, 13, 907 is 1
GCD(198, 621, 13, 907) = 1
Given Input numbers are 198, 621, 13, 907
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 621
List of positive integer divisors of 621 that divides 621 without a remainder.
1, 3, 9, 23, 27, 69, 207, 621
Divisors of 13
List of positive integer divisors of 13 that divides 13 without a remainder.
1, 13
Divisors of 907
List of positive integer divisors of 907 that divides 907 without a remainder.
1, 907
Greatest Common Divisior
We found the divisors of 198, 621, 13, 907 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 198, 621, 13, 907 is 1.
Therefore, GCD of numbers 198, 621, 13, 907 is 1
Given Input Data is 198, 621, 13, 907
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 621 is 3 x 3 x 3 x 23
Prime Factorization of 13 is 13
Prime Factorization of 907 is 907
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, 621) = 13662
GCD(198, 621) = ( 198 x 621 ) / 13662
GCD(198, 621) = 122958 / 13662
GCD(198, 621) = 9
Step2:
Here we consider the GCD from the above i.e. 9 as first number and the next as 13
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(9, 13) = 117
GCD(9, 13) = ( 9 x 13 ) / 117
GCD(9, 13) = 117 / 117
GCD(9, 13) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 907
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 907) = 907
GCD(1, 907) = ( 1 x 907 ) / 907
GCD(1, 907) = 907 / 907
GCD(1, 907) = 1
GCD of 198, 621, 13, 907 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 198, 621, 13, 907?
GCD of 198, 621, 13, 907 is 1
2. Where do I get the detailed procedure to find GCD of 198, 621, 13, 907?
You can find a detailed procedure to find GCD of 198, 621, 13, 907 on our page.
3. How to find GCD of 198, 621, 13, 907 on a calculator?
You can find the GCD of 198, 621, 13, 907 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.