GCD of 73, 145, 463, 299 Calculator

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.

• GCD of 49, 109, 381, 411
• GCD of 28, 728, 617, 557
• GCD of 20, 307, 241, 718
• GCD of 73, 984, 774, 218
• GCD of 53, 498, 997, 370

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.