GCD of 528, 187, 489, 502 Calculator

Given Input numbers are 528, 187, 489, 502

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 187

List of positive integer divisors of 187 that divides 187 without a remainder.

1, 11, 17, 187

Divisors of 489

List of positive integer divisors of 489 that divides 489 without a remainder.

1, 3, 163, 489

Divisors of 502

List of positive integer divisors of 502 that divides 502 without a remainder.

1, 2, 251, 502

Greatest Common Divisior

We found the divisors of 528, 187, 489, 502 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 528, 187, 489, 502 is 1.

Therefore, GCD of numbers 528, 187, 489, 502 is 1

Given Input Data is 528, 187, 489, 502

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 187 is 11 x 17

Prime Factorization of 489 is 3 x 163

Prime Factorization of 502 is 2 x 251

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, 187) = 8976

GCD(528, 187) = ( 528 x 187 ) / 8976

GCD(528, 187) = 98736 / 8976

GCD(528, 187) = 11

Step2:

Here we consider the GCD from the above i.e. 11 as first number and the next as 489

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

LCM(11, 489) = 5379

GCD(11, 489) = ( 11 x 489 ) / 5379

GCD(11, 489) = 5379 / 5379

GCD(11, 489) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 502

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

LCM(1, 502) = 502

GCD(1, 502) = ( 1 x 502 ) / 502

GCD(1, 502) = 502 / 502

GCD(1, 502) = 1

GCD of 528, 187, 489, 502 is 1

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1. What is the GCD of 528, 187, 489, 502?

GCD of 528, 187, 489, 502 is 1

2. Where do I get the detailed procedure to find GCD of 528, 187, 489, 502?

You can find a detailed procedure to find GCD of 528, 187, 489, 502 on our page.

3. How to find GCD of 528, 187, 489, 502 on a calculator?

You can find the GCD of 528, 187, 489, 502 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.