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 481, 598, 106, 445 i.e. 1 largest integer that divides all the numbers equally.
GCD of 481, 598, 106, 445 is 1
GCD(481, 598, 106, 445) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 481, 598, 106, 445 is 1
GCD(481, 598, 106, 445) = 1
Given Input numbers are 481, 598, 106, 445
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 481
List of positive integer divisors of 481 that divides 481 without a remainder.
1, 13, 37, 481
Divisors of 598
List of positive integer divisors of 598 that divides 598 without a remainder.
1, 2, 13, 23, 26, 46, 299, 598
Divisors of 106
List of positive integer divisors of 106 that divides 106 without a remainder.
1, 2, 53, 106
Divisors of 445
List of positive integer divisors of 445 that divides 445 without a remainder.
1, 5, 89, 445
Greatest Common Divisior
We found the divisors of 481, 598, 106, 445 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 481, 598, 106, 445 is 1.
Therefore, GCD of numbers 481, 598, 106, 445 is 1
Given Input Data is 481, 598, 106, 445
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 481 is 13 x 37
Prime Factorization of 598 is 2 x 13 x 23
Prime Factorization of 106 is 2 x 53
Prime Factorization of 445 is 5 x 89
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(481, 598) = 22126
GCD(481, 598) = ( 481 x 598 ) / 22126
GCD(481, 598) = 287638 / 22126
GCD(481, 598) = 13
Step2:
Here we consider the GCD from the above i.e. 13 as first number and the next as 106
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(13, 106) = 1378
GCD(13, 106) = ( 13 x 106 ) / 1378
GCD(13, 106) = 1378 / 1378
GCD(13, 106) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 445
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 445) = 445
GCD(1, 445) = ( 1 x 445 ) / 445
GCD(1, 445) = 445 / 445
GCD(1, 445) = 1
GCD of 481, 598, 106, 445 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 481, 598, 106, 445?
GCD of 481, 598, 106, 445 is 1
2. Where do I get the detailed procedure to find GCD of 481, 598, 106, 445?
You can find a detailed procedure to find GCD of 481, 598, 106, 445 on our page.
3. How to find GCD of 481, 598, 106, 445 on a calculator?
You can find the GCD of 481, 598, 106, 445 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.