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, 145, 463, 299 i.e. 1 largest integer that divides all the numbers equally.
GCD of 73, 145, 463, 299 is 1
GCD(73, 145, 463, 299) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 73, 145, 463, 299 is 1
GCD(73, 145, 463, 299) = 1
Given Input numbers are 73, 145, 463, 299
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 145
List of positive integer divisors of 145 that divides 145 without a remainder.
1, 5, 29, 145
Divisors of 463
List of positive integer divisors of 463 that divides 463 without a remainder.
1, 463
Divisors of 299
List of positive integer divisors of 299 that divides 299 without a remainder.
1, 13, 23, 299
Greatest Common Divisior
We found the divisors of 73, 145, 463, 299 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 73, 145, 463, 299 is 1.
Therefore, GCD of numbers 73, 145, 463, 299 is 1
Given Input Data is 73, 145, 463, 299
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 73 is 73
Prime Factorization of 145 is 5 x 29
Prime Factorization of 463 is 463
Prime Factorization of 299 is 13 x 23
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, 145) = 10585
GCD(73, 145) = ( 73 x 145 ) / 10585
GCD(73, 145) = 10585 / 10585
GCD(73, 145) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 463
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 463) = 463
GCD(1, 463) = ( 1 x 463 ) / 463
GCD(1, 463) = 463 / 463
GCD(1, 463) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 299
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 299) = 299
GCD(1, 299) = ( 1 x 299 ) / 299
GCD(1, 299) = 299 / 299
GCD(1, 299) = 1
GCD of 73, 145, 463, 299 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 73, 145, 463, 299?
GCD of 73, 145, 463, 299 is 1
2. Where do I get the detailed procedure to find GCD of 73, 145, 463, 299?
You can find a detailed procedure to find GCD of 73, 145, 463, 299 on our page.
3. How to find GCD of 73, 145, 463, 299 on a calculator?
You can find the GCD of 73, 145, 463, 299 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.