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 73, 306, 143, 808 i.e. 1 largest integer that divides all the numbers equally.
GCD of 73, 306, 143, 808 is 1
GCD(73, 306, 143, 808) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 73, 306, 143, 808 is 1
GCD(73, 306, 143, 808) = 1
Given Input numbers are 73, 306, 143, 808
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 73
List of positive integer divisors of 73 that divides 73 without a remainder.
1, 73
Divisors of 306
List of positive integer divisors of 306 that divides 306 without a remainder.
1, 2, 3, 6, 9, 17, 18, 34, 51, 102, 153, 306
Divisors of 143
List of positive integer divisors of 143 that divides 143 without a remainder.
1, 11, 13, 143
Divisors of 808
List of positive integer divisors of 808 that divides 808 without a remainder.
1, 2, 4, 8, 101, 202, 404, 808
Greatest Common Divisior
We found the divisors of 73, 306, 143, 808 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 73, 306, 143, 808 is 1.
Therefore, GCD of numbers 73, 306, 143, 808 is 1
Given Input Data is 73, 306, 143, 808
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 73 is 73
Prime Factorization of 306 is 2 x 3 x 3 x 17
Prime Factorization of 143 is 11 x 13
Prime Factorization of 808 is 2 x 2 x 2 x 101
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(73, 306) = 22338
GCD(73, 306) = ( 73 x 306 ) / 22338
GCD(73, 306) = 22338 / 22338
GCD(73, 306) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 143
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 143) = 143
GCD(1, 143) = ( 1 x 143 ) / 143
GCD(1, 143) = 143 / 143
GCD(1, 143) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 808
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 808) = 808
GCD(1, 808) = ( 1 x 808 ) / 808
GCD(1, 808) = 808 / 808
GCD(1, 808) = 1
GCD of 73, 306, 143, 808 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 73, 306, 143, 808?
GCD of 73, 306, 143, 808 is 1
2. Where do I get the detailed procedure to find GCD of 73, 306, 143, 808?
You can find a detailed procedure to find GCD of 73, 306, 143, 808 on our page.
3. How to find GCD of 73, 306, 143, 808 on a calculator?
You can find the GCD of 73, 306, 143, 808 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.