GCD of 284, 544, 72, 485 Calculator

Given Input numbers are 284, 544, 72, 485

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

Divisors of 284

List of positive integer divisors of 284 that divides 284 without a remainder.

1, 2, 4, 71, 142, 284

Divisors of 544

List of positive integer divisors of 544 that divides 544 without a remainder.

1, 2, 4, 8, 16, 17, 32, 34, 68, 136, 272, 544

Divisors of 72

List of positive integer divisors of 72 that divides 72 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72

Divisors of 485

List of positive integer divisors of 485 that divides 485 without a remainder.

1, 5, 97, 485

Greatest Common Divisior

We found the divisors of 284, 544, 72, 485 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 284, 544, 72, 485 is 1.

Therefore, GCD of numbers 284, 544, 72, 485 is 1

Given Input Data is 284, 544, 72, 485

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

Prime Factorization of 284 is 2 x 2 x 71

Prime Factorization of 544 is 2 x 2 x 2 x 2 x 2 x 17

Prime Factorization of 72 is 2 x 2 x 2 x 3 x 3

Prime Factorization of 485 is 5 x 97

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(284, 544) = 38624

GCD(284, 544) = ( 284 x 544 ) / 38624

GCD(284, 544) = 154496 / 38624

GCD(284, 544) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 72

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

LCM(4, 72) = 72

GCD(4, 72) = ( 4 x 72 ) / 72

GCD(4, 72) = 288 / 72

GCD(4, 72) = 4

Step3:

Here we consider the GCD from the above i.e. 4 as first number and the next as 485

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

LCM(4, 485) = 1940

GCD(4, 485) = ( 4 x 485 ) / 1940

GCD(4, 485) = 1940 / 1940

GCD(4, 485) = 1

GCD of 284, 544, 72, 485 is 1

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1. What is the GCD of 284, 544, 72, 485?

GCD of 284, 544, 72, 485 is 1

2. Where do I get the detailed procedure to find GCD of 284, 544, 72, 485?

You can find a detailed procedure to find GCD of 284, 544, 72, 485 on our page.

3. How to find GCD of 284, 544, 72, 485 on a calculator?

You can find the GCD of 284, 544, 72, 485 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.