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, 676, 73, 109 i.e. 1 largest integer that divides all the numbers equally.
GCD of 481, 676, 73, 109 is 1
GCD(481, 676, 73, 109) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 481, 676, 73, 109 is 1
GCD(481, 676, 73, 109) = 1
Given Input numbers are 481, 676, 73, 109
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 676
List of positive integer divisors of 676 that divides 676 without a remainder.
1, 2, 4, 13, 26, 52, 169, 338, 676
Divisors of 73
List of positive integer divisors of 73 that divides 73 without a remainder.
1, 73
Divisors of 109
List of positive integer divisors of 109 that divides 109 without a remainder.
1, 109
Greatest Common Divisior
We found the divisors of 481, 676, 73, 109 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 481, 676, 73, 109 is 1.
Therefore, GCD of numbers 481, 676, 73, 109 is 1
Given Input Data is 481, 676, 73, 109
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 481 is 13 x 37
Prime Factorization of 676 is 2 x 2 x 13 x 13
Prime Factorization of 73 is 73
Prime Factorization of 109 is 109
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, 676) = 25012
GCD(481, 676) = ( 481 x 676 ) / 25012
GCD(481, 676) = 325156 / 25012
GCD(481, 676) = 13
Step2:
Here we consider the GCD from the above i.e. 13 as first number and the next as 73
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(13, 73) = 949
GCD(13, 73) = ( 13 x 73 ) / 949
GCD(13, 73) = 949 / 949
GCD(13, 73) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 109
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 109) = 109
GCD(1, 109) = ( 1 x 109 ) / 109
GCD(1, 109) = 109 / 109
GCD(1, 109) = 1
GCD of 481, 676, 73, 109 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 481, 676, 73, 109?
GCD of 481, 676, 73, 109 is 1
2. Where do I get the detailed procedure to find GCD of 481, 676, 73, 109?
You can find a detailed procedure to find GCD of 481, 676, 73, 109 on our page.
3. How to find GCD of 481, 676, 73, 109 on a calculator?
You can find the GCD of 481, 676, 73, 109 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.