GCD of 73, 217, 464, 404 Calculator

Given Input numbers are 73, 217, 464, 404

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 217

List of positive integer divisors of 217 that divides 217 without a remainder.

1, 7, 31, 217

Divisors of 464

List of positive integer divisors of 464 that divides 464 without a remainder.

1, 2, 4, 8, 16, 29, 58, 116, 232, 464

Divisors of 404

List of positive integer divisors of 404 that divides 404 without a remainder.

1, 2, 4, 101, 202, 404

Greatest Common Divisior

We found the divisors of 73, 217, 464, 404 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 73, 217, 464, 404 is 1.

Therefore, GCD of numbers 73, 217, 464, 404 is 1

Given Input Data is 73, 217, 464, 404

Make a list of Prime Factors of all the given numbers initially

Prime Factorization of 73 is 73

Prime Factorization of 217 is 7 x 31

Prime Factorization of 464 is 2 x 2 x 2 x 2 x 29

Prime Factorization of 404 is 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, 217) = 15841

GCD(73, 217) = ( 73 x 217 ) / 15841

GCD(73, 217) = 15841 / 15841

GCD(73, 217) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 464

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(1, 464) = 464

GCD(1, 464) = ( 1 x 464 ) / 464

GCD(1, 464) = 464 / 464

GCD(1, 464) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 404

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(1, 404) = 404

GCD(1, 404) = ( 1 x 404 ) / 404

GCD(1, 404) = 404 / 404

GCD(1, 404) = 1

GCD of 73, 217, 464, 404 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 28, 387, 548, 364
• GCD of 45, 359, 186, 354
• GCD of 22, 803, 102, 415
• GCD of 94, 789, 647, 366
• GCD of 96, 163, 131, 738

1. What is the GCD of 73, 217, 464, 404?

GCD of 73, 217, 464, 404 is 1

2. Where do I get the detailed procedure to find GCD of 73, 217, 464, 404?

You can find a detailed procedure to find GCD of 73, 217, 464, 404 on our page.

3. How to find GCD of 73, 217, 464, 404 on a calculator?

You can find the GCD of 73, 217, 464, 404 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.