GCD of 480, 572, 48, 501 Calculator

Given Input numbers are 480, 572, 48, 501

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

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

Divisors of 572

List of positive integer divisors of 572 that divides 572 without a remainder.

1, 2, 4, 11, 13, 22, 26, 44, 52, 143, 286, 572

Divisors of 48

List of positive integer divisors of 48 that divides 48 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 48

Divisors of 501

List of positive integer divisors of 501 that divides 501 without a remainder.

1, 3, 167, 501

Greatest Common Divisior

We found the divisors of 480, 572, 48, 501 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 480, 572, 48, 501 is 1.

Therefore, GCD of numbers 480, 572, 48, 501 is 1

Given Input Data is 480, 572, 48, 501

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

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

Prime Factorization of 572 is 2 x 2 x 11 x 13

Prime Factorization of 48 is 2 x 2 x 2 x 2 x 3

Prime Factorization of 501 is 3 x 167

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(480, 572) = 68640

GCD(480, 572) = ( 480 x 572 ) / 68640

GCD(480, 572) = 274560 / 68640

GCD(480, 572) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 48

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

LCM(4, 48) = 48

GCD(4, 48) = ( 4 x 48 ) / 48

GCD(4, 48) = 192 / 48

GCD(4, 48) = 4

Step3:

Here we consider the GCD from the above i.e. 4 as first number and the next as 501

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

LCM(4, 501) = 2004

GCD(4, 501) = ( 4 x 501 ) / 2004

GCD(4, 501) = 2004 / 2004

GCD(4, 501) = 1

GCD of 480, 572, 48, 501 is 1

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1. What is the GCD of 480, 572, 48, 501?

GCD of 480, 572, 48, 501 is 1

2. Where do I get the detailed procedure to find GCD of 480, 572, 48, 501?

You can find a detailed procedure to find GCD of 480, 572, 48, 501 on our page.

3. How to find GCD of 480, 572, 48, 501 on a calculator?

You can find the GCD of 480, 572, 48, 501 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.