GCD of 213, 440, 73, 289 Calculator

Given Input numbers are 213, 440, 73, 289

To find the GCD of numbers using factoring list out all the divisors of each number

Divisors of 213

List of positive integer divisors of 213 that divides 213 without a remainder.

1, 3, 71, 213

Divisors of 440

List of positive integer divisors of 440 that divides 440 without a remainder.

1, 2, 4, 5, 8, 10, 11, 20, 22, 40, 44, 55, 88, 110, 220, 440

Divisors of 73

List of positive integer divisors of 73 that divides 73 without a remainder.

1, 73

Divisors of 289

List of positive integer divisors of 289 that divides 289 without a remainder.

1, 17, 289

Greatest Common Divisior

We found the divisors of 213, 440, 73, 289 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 213, 440, 73, 289 is 1.

Therefore, GCD of numbers 213, 440, 73, 289 is 1

Given Input Data is 213, 440, 73, 289

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

Prime Factorization of 213 is 3 x 71

Prime Factorization of 440 is 2 x 2 x 2 x 5 x 11

Prime Factorization of 73 is 73

Prime Factorization of 289 is 17 x 17

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(213, 440) = 93720

GCD(213, 440) = ( 213 x 440 ) / 93720

GCD(213, 440) = 93720 / 93720

GCD(213, 440) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 73

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

LCM(1, 73) = 73

GCD(1, 73) = ( 1 x 73 ) / 73

GCD(1, 73) = 73 / 73

GCD(1, 73) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 289

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

LCM(1, 289) = 289

GCD(1, 289) = ( 1 x 289 ) / 289

GCD(1, 289) = 289 / 289

GCD(1, 289) = 1

GCD of 213, 440, 73, 289 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 619, 600, 61, 673
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• GCD of 320, 604, 33, 479
• GCD of 678, 763, 29, 318
• GCD of 574, 955, 30, 408

1. What is the GCD of 213, 440, 73, 289?

GCD of 213, 440, 73, 289 is 1

2. Where do I get the detailed procedure to find GCD of 213, 440, 73, 289?

You can find a detailed procedure to find GCD of 213, 440, 73, 289 on our page.

3. How to find GCD of 213, 440, 73, 289 on a calculator?

You can find the GCD of 213, 440, 73, 289 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.