GCD of 143, 586, 480 Calculator

Given Input numbers are 143, 586, 480

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

Divisors of 143

List of positive integer divisors of 143 that divides 143 without a remainder.

1, 11, 13, 143

Divisors of 586

List of positive integer divisors of 586 that divides 586 without a remainder.

1, 2, 293, 586

Divisors of 480

List of positive integer divisors of 480 that divides 480 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 80, 96, 120, 160, 240, 480

Greatest Common Divisior

We found the divisors of 143, 586, 480 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 143, 586, 480 is 1.

Therefore, GCD of numbers 143, 586, 480 is 1

Given Input Data is 143, 586, 480

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

Prime Factorization of 143 is 11 x 13

Prime Factorization of 586 is 2 x 293

Prime Factorization of 480 is 2 x 2 x 2 x 2 x 2 x 3 x 5

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(143, 586) = 83798

GCD(143, 586) = ( 143 x 586 ) / 83798

GCD(143, 586) = 83798 / 83798

GCD(143, 586) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 480

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

LCM(1, 480) = 480

GCD(1, 480) = ( 1 x 480 ) / 480

GCD(1, 480) = 480 / 480

GCD(1, 480) = 1

GCD of 143, 586, 480 is 1

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1. What is the GCD of 143, 586, 480?

GCD of 143, 586, 480 is 1

2. Where do I get the detailed procedure to find GCD of 143, 586, 480?

You can find a detailed procedure to find GCD of 143, 586, 480 on our page.

3. How to find GCD of 143, 586, 480 on a calculator?

You can find the GCD of 143, 586, 480 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.