GCD of 272, 487, 71, 580 Calculator

Given Input numbers are 272, 487, 71, 580

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

Divisors of 272

List of positive integer divisors of 272 that divides 272 without a remainder.

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

Divisors of 487

List of positive integer divisors of 487 that divides 487 without a remainder.

1, 487

Divisors of 71

List of positive integer divisors of 71 that divides 71 without a remainder.

1, 71

Divisors of 580

List of positive integer divisors of 580 that divides 580 without a remainder.

1, 2, 4, 5, 10, 20, 29, 58, 116, 145, 290, 580

Greatest Common Divisior

We found the divisors of 272, 487, 71, 580 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 272, 487, 71, 580 is 1.

Therefore, GCD of numbers 272, 487, 71, 580 is 1

Given Input Data is 272, 487, 71, 580

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

Prime Factorization of 272 is 2 x 2 x 2 x 2 x 17

Prime Factorization of 487 is 487

Prime Factorization of 71 is 71

Prime Factorization of 580 is 2 x 2 x 5 x 29

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(272, 487) = 132464

GCD(272, 487) = ( 272 x 487 ) / 132464

GCD(272, 487) = 132464 / 132464

GCD(272, 487) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 71

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

LCM(1, 71) = 71

GCD(1, 71) = ( 1 x 71 ) / 71

GCD(1, 71) = 71 / 71

GCD(1, 71) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 580

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

LCM(1, 580) = 580

GCD(1, 580) = ( 1 x 580 ) / 580

GCD(1, 580) = 580 / 580

GCD(1, 580) = 1

GCD of 272, 487, 71, 580 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 276, 461, 89, 825
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• GCD of 362, 739, 12, 366

1. What is the GCD of 272, 487, 71, 580?

GCD of 272, 487, 71, 580 is 1

2. Where do I get the detailed procedure to find GCD of 272, 487, 71, 580?

You can find a detailed procedure to find GCD of 272, 487, 71, 580 on our page.

3. How to find GCD of 272, 487, 71, 580 on a calculator?

You can find the GCD of 272, 487, 71, 580 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.