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, 486, 53, 488 i.e. 1 largest integer that divides all the numbers equally.
GCD of 198, 486, 53, 488 is 1
GCD(198, 486, 53, 488) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 198, 486, 53, 488 is 1
GCD(198, 486, 53, 488) = 1
Given Input numbers are 198, 486, 53, 488
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 486
List of positive integer divisors of 486 that divides 486 without a remainder.
1, 2, 3, 6, 9, 18, 27, 54, 81, 162, 243, 486
Divisors of 53
List of positive integer divisors of 53 that divides 53 without a remainder.
1, 53
Divisors of 488
List of positive integer divisors of 488 that divides 488 without a remainder.
1, 2, 4, 8, 61, 122, 244, 488
Greatest Common Divisior
We found the divisors of 198, 486, 53, 488 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 198, 486, 53, 488 is 1.
Therefore, GCD of numbers 198, 486, 53, 488 is 1
Given Input Data is 198, 486, 53, 488
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 486 is 2 x 3 x 3 x 3 x 3 x 3
Prime Factorization of 53 is 53
Prime Factorization of 488 is 2 x 2 x 2 x 61
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, 486) = 5346
GCD(198, 486) = ( 198 x 486 ) / 5346
GCD(198, 486) = 96228 / 5346
GCD(198, 486) = 18
Step2:
Here we consider the GCD from the above i.e. 18 as first number and the next as 53
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(18, 53) = 954
GCD(18, 53) = ( 18 x 53 ) / 954
GCD(18, 53) = 954 / 954
GCD(18, 53) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 488
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 488) = 488
GCD(1, 488) = ( 1 x 488 ) / 488
GCD(1, 488) = 488 / 488
GCD(1, 488) = 1
GCD of 198, 486, 53, 488 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 198, 486, 53, 488?
GCD of 198, 486, 53, 488 is 1
2. Where do I get the detailed procedure to find GCD of 198, 486, 53, 488?
You can find a detailed procedure to find GCD of 198, 486, 53, 488 on our page.
3. How to find GCD of 198, 486, 53, 488 on a calculator?
You can find the GCD of 198, 486, 53, 488 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.