GCD of 480, 392, 595, 533 Calculator

Given Input numbers are 480, 392, 595, 533

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 392

List of positive integer divisors of 392 that divides 392 without a remainder.

1, 2, 4, 7, 8, 14, 28, 49, 56, 98, 196, 392

Divisors of 595

List of positive integer divisors of 595 that divides 595 without a remainder.

1, 5, 7, 17, 35, 85, 119, 595

Divisors of 533

List of positive integer divisors of 533 that divides 533 without a remainder.

1, 13, 41, 533

Greatest Common Divisior

We found the divisors of 480, 392, 595, 533 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 480, 392, 595, 533 is 1.

Therefore, GCD of numbers 480, 392, 595, 533 is 1

Given Input Data is 480, 392, 595, 533

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 392 is 2 x 2 x 2 x 7 x 7

Prime Factorization of 595 is 5 x 7 x 17

Prime Factorization of 533 is 13 x 41

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, 392) = 23520

GCD(480, 392) = ( 480 x 392 ) / 23520

GCD(480, 392) = 188160 / 23520

GCD(480, 392) = 8

Step2:

Here we consider the GCD from the above i.e. 8 as first number and the next as 595

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

LCM(8, 595) = 4760

GCD(8, 595) = ( 8 x 595 ) / 4760

GCD(8, 595) = 4760 / 4760

GCD(8, 595) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 533

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

LCM(1, 533) = 533

GCD(1, 533) = ( 1 x 533 ) / 533

GCD(1, 533) = 533 / 533

GCD(1, 533) = 1

GCD of 480, 392, 595, 533 is 1

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1. What is the GCD of 480, 392, 595, 533?

GCD of 480, 392, 595, 533 is 1

2. Where do I get the detailed procedure to find GCD of 480, 392, 595, 533?

You can find a detailed procedure to find GCD of 480, 392, 595, 533 on our page.

3. How to find GCD of 480, 392, 595, 533 on a calculator?

You can find the GCD of 480, 392, 595, 533 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.