GCD of 440, 280, 28, 323 Calculator

Given Input numbers are 440, 280, 28, 323

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

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 280

List of positive integer divisors of 280 that divides 280 without a remainder.

1, 2, 4, 5, 7, 8, 10, 14, 20, 28, 35, 40, 56, 70, 140, 280

Divisors of 28

List of positive integer divisors of 28 that divides 28 without a remainder.

1, 2, 4, 7, 14, 28

Divisors of 323

List of positive integer divisors of 323 that divides 323 without a remainder.

1, 17, 19, 323

Greatest Common Divisior

We found the divisors of 440, 280, 28, 323 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 440, 280, 28, 323 is 1.

Therefore, GCD of numbers 440, 280, 28, 323 is 1

Given Input Data is 440, 280, 28, 323

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

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

Prime Factorization of 280 is 2 x 2 x 2 x 5 x 7

Prime Factorization of 28 is 2 x 2 x 7

Prime Factorization of 323 is 17 x 19

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(440, 280) = 3080

GCD(440, 280) = ( 440 x 280 ) / 3080

GCD(440, 280) = 123200 / 3080

GCD(440, 280) = 40

Step2:

Here we consider the GCD from the above i.e. 40 as first number and the next as 28

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

LCM(40, 28) = 280

GCD(40, 28) = ( 40 x 28 ) / 280

GCD(40, 28) = 1120 / 280

GCD(40, 28) = 4

Step3:

Here we consider the GCD from the above i.e. 4 as first number and the next as 323

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

LCM(4, 323) = 1292

GCD(4, 323) = ( 4 x 323 ) / 1292

GCD(4, 323) = 1292 / 1292

GCD(4, 323) = 1

GCD of 440, 280, 28, 323 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 805, 301, 39, 321
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• GCD of 608, 162, 63, 165
• GCD of 216, 504, 14, 308

1. What is the GCD of 440, 280, 28, 323?

GCD of 440, 280, 28, 323 is 1

2. Where do I get the detailed procedure to find GCD of 440, 280, 28, 323?

You can find a detailed procedure to find GCD of 440, 280, 28, 323 on our page.

3. How to find GCD of 440, 280, 28, 323 on a calculator?

You can find the GCD of 440, 280, 28, 323 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.