GCD of 528, 288, 822, 493 Calculator

Given Input numbers are 528, 288, 822, 493

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

Divisors of 528

List of positive integer divisors of 528 that divides 528 without a remainder.

1, 2, 3, 4, 6, 8, 11, 12, 16, 22, 24, 33, 44, 48, 66, 88, 132, 176, 264, 528

Divisors of 288

List of positive integer divisors of 288 that divides 288 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 72, 96, 144, 288

Divisors of 822

List of positive integer divisors of 822 that divides 822 without a remainder.

1, 2, 3, 6, 137, 274, 411, 822

Divisors of 493

List of positive integer divisors of 493 that divides 493 without a remainder.

1, 17, 29, 493

Greatest Common Divisior

We found the divisors of 528, 288, 822, 493 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 528, 288, 822, 493 is 1.

Therefore, GCD of numbers 528, 288, 822, 493 is 1

Given Input Data is 528, 288, 822, 493

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

Prime Factorization of 528 is 2 x 2 x 2 x 2 x 3 x 11

Prime Factorization of 288 is 2 x 2 x 2 x 2 x 2 x 3 x 3

Prime Factorization of 822 is 2 x 3 x 137

Prime Factorization of 493 is 17 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(528, 288) = 3168

GCD(528, 288) = ( 528 x 288 ) / 3168

GCD(528, 288) = 152064 / 3168

GCD(528, 288) = 48

Step2:

Here we consider the GCD from the above i.e. 48 as first number and the next as 822

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

LCM(48, 822) = 6576

GCD(48, 822) = ( 48 x 822 ) / 6576

GCD(48, 822) = 39456 / 6576

GCD(48, 822) = 6

Step3:

Here we consider the GCD from the above i.e. 6 as first number and the next as 493

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

LCM(6, 493) = 2958

GCD(6, 493) = ( 6 x 493 ) / 2958

GCD(6, 493) = 2958 / 2958

GCD(6, 493) = 1

GCD of 528, 288, 822, 493 is 1

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1. What is the GCD of 528, 288, 822, 493?

GCD of 528, 288, 822, 493 is 1

2. Where do I get the detailed procedure to find GCD of 528, 288, 822, 493?

You can find a detailed procedure to find GCD of 528, 288, 822, 493 on our page.

3. How to find GCD of 528, 288, 822, 493 on a calculator?

You can find the GCD of 528, 288, 822, 493 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.