GCD of 490, 288, 483, 528 Calculator

Given Input numbers are 490, 288, 483, 528

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

Divisors of 490

List of positive integer divisors of 490 that divides 490 without a remainder.

1, 2, 5, 7, 10, 14, 35, 49, 70, 98, 245, 490

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 483

List of positive integer divisors of 483 that divides 483 without a remainder.

1, 3, 7, 21, 23, 69, 161, 483

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

Greatest Common Divisior

We found the divisors of 490, 288, 483, 528 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 490, 288, 483, 528 is 1.

Therefore, GCD of numbers 490, 288, 483, 528 is 1

Given Input Data is 490, 288, 483, 528

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

Prime Factorization of 490 is 2 x 5 x 7 x 7

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

Prime Factorization of 483 is 3 x 7 x 23

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

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(490, 288) = 70560

GCD(490, 288) = ( 490 x 288 ) / 70560

GCD(490, 288) = 141120 / 70560

GCD(490, 288) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 483

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

LCM(2, 483) = 966

GCD(2, 483) = ( 2 x 483 ) / 966

GCD(2, 483) = 966 / 966

GCD(2, 483) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 528

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

LCM(1, 528) = 528

GCD(1, 528) = ( 1 x 528 ) / 528

GCD(1, 528) = 528 / 528

GCD(1, 528) = 1

GCD of 490, 288, 483, 528 is 1

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1. What is the GCD of 490, 288, 483, 528?

GCD of 490, 288, 483, 528 is 1

2. Where do I get the detailed procedure to find GCD of 490, 288, 483, 528?

You can find a detailed procedure to find GCD of 490, 288, 483, 528 on our page.

3. How to find GCD of 490, 288, 483, 528 on a calculator?

You can find the GCD of 490, 288, 483, 528 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.