GCD of 488, 198, 245 Calculator
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 488, 198, 245 i.e. 1 largest integer that divides all the numbers equally.
GCD of 488, 198, 245 is 1
GCD(488, 198, 245) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 488, 198, 245 is 1
GCD(488, 198, 245) = 1
GCDof 488,198,245 is 1
Given Input numbers are 488, 198, 245
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 488
List of positive integer divisors of 488 that divides 488 without a remainder.
1, 2, 4, 8, 61, 122, 244, 488
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
Greatest Common Divisior
We found the divisors of 488, 198, 245 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 488, 198, 245 is 1.
Therefore, GCD of numbers 488, 198, 245 is 1
Given Input Data is 488, 198, 245
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 488 is 2 x 2 x 2 x 61
Prime Factorization of 198 is 2 x 3 x 3 x 11
Prime Factorization of 245 is 5 x 7 x 7
The above numbers do not have any common prime factor. So GCD is 1
Finding GCD of 488, 198, 245 using LCM Formula
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(488, 198) = 48312
GCD(488, 198) = ( 488 x 198 ) / 48312
GCD(488, 198) = 96624 / 48312
GCD(488, 198) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 245
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 245) = 490
GCD(2, 245) = ( 2 x 245 ) / 490
GCD(2, 245) = 490 / 490
GCD(2, 245) = 1
GCD of 488, 198, 245 is 1
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FAQs on GCD of numbers 488, 198, 245
1. What is the GCD of 488, 198, 245?
GCD of 488, 198, 245 is 1
2. Where do I get the detailed procedure to find GCD of 488, 198, 245?
You can find a detailed procedure to find GCD of 488, 198, 245 on our page.
3. How to find GCD of 488, 198, 245 on a calculator?
You can find the GCD of 488, 198, 245 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.