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 638, 204, 98, 441 i.e. 1 largest integer that divides all the numbers equally.
GCD of 638, 204, 98, 441 is 1
GCD(638, 204, 98, 441) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 638, 204, 98, 441 is 1
GCD(638, 204, 98, 441) = 1
Given Input numbers are 638, 204, 98, 441
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 638
List of positive integer divisors of 638 that divides 638 without a remainder.
1, 2, 11, 22, 29, 58, 319, 638
Divisors of 204
List of positive integer divisors of 204 that divides 204 without a remainder.
1, 2, 3, 4, 6, 12, 17, 34, 51, 68, 102, 204
Divisors of 98
List of positive integer divisors of 98 that divides 98 without a remainder.
1, 2, 7, 14, 49, 98
Divisors of 441
List of positive integer divisors of 441 that divides 441 without a remainder.
1, 3, 7, 9, 21, 49, 63, 147, 441
Greatest Common Divisior
We found the divisors of 638, 204, 98, 441 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 638, 204, 98, 441 is 1.
Therefore, GCD of numbers 638, 204, 98, 441 is 1
Given Input Data is 638, 204, 98, 441
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 638 is 2 x 11 x 29
Prime Factorization of 204 is 2 x 2 x 3 x 17
Prime Factorization of 98 is 2 x 7 x 7
Prime Factorization of 441 is 3 x 3 x 7 x 7
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(638, 204) = 65076
GCD(638, 204) = ( 638 x 204 ) / 65076
GCD(638, 204) = 130152 / 65076
GCD(638, 204) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 98
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 98) = 98
GCD(2, 98) = ( 2 x 98 ) / 98
GCD(2, 98) = 196 / 98
GCD(2, 98) = 2
Step3:
Here we consider the GCD from the above i.e. 2 as first number and the next as 441
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 441) = 882
GCD(2, 441) = ( 2 x 441 ) / 882
GCD(2, 441) = 882 / 882
GCD(2, 441) = 1
GCD of 638, 204, 98, 441 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 638, 204, 98, 441?
GCD of 638, 204, 98, 441 is 1
2. Where do I get the detailed procedure to find GCD of 638, 204, 98, 441?
You can find a detailed procedure to find GCD of 638, 204, 98, 441 on our page.
3. How to find GCD of 638, 204, 98, 441 on a calculator?
You can find the GCD of 638, 204, 98, 441 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.