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, 245, 324, 250 i.e. 1 largest integer that divides all the numbers equally.
GCD of 198, 245, 324, 250 is 1
GCD(198, 245, 324, 250) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 198, 245, 324, 250 is 1
GCD(198, 245, 324, 250) = 1
Given Input numbers are 198, 245, 324, 250
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 245
List of positive integer divisors of 245 that divides 245 without a remainder.
1, 5, 7, 35, 49, 245
Divisors of 324
List of positive integer divisors of 324 that divides 324 without a remainder.
1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 324
Divisors of 250
List of positive integer divisors of 250 that divides 250 without a remainder.
1, 2, 5, 10, 25, 50, 125, 250
Greatest Common Divisior
We found the divisors of 198, 245, 324, 250 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 198, 245, 324, 250 is 1.
Therefore, GCD of numbers 198, 245, 324, 250 is 1
Given Input Data is 198, 245, 324, 250
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 245 is 5 x 7 x 7
Prime Factorization of 324 is 2 x 2 x 3 x 3 x 3 x 3
Prime Factorization of 250 is 2 x 5 x 5 x 5
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, 245) = 48510
GCD(198, 245) = ( 198 x 245 ) / 48510
GCD(198, 245) = 48510 / 48510
GCD(198, 245) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 324
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 324) = 324
GCD(1, 324) = ( 1 x 324 ) / 324
GCD(1, 324) = 324 / 324
GCD(1, 324) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 250
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 250) = 250
GCD(1, 250) = ( 1 x 250 ) / 250
GCD(1, 250) = 250 / 250
GCD(1, 250) = 1
GCD of 198, 245, 324, 250 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 198, 245, 324, 250?
GCD of 198, 245, 324, 250 is 1
2. Where do I get the detailed procedure to find GCD of 198, 245, 324, 250?
You can find a detailed procedure to find GCD of 198, 245, 324, 250 on our page.
3. How to find GCD of 198, 245, 324, 250 on a calculator?
You can find the GCD of 198, 245, 324, 250 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.