GCD of 502, 528, 34, 255 Calculator

Given Input numbers are 502, 528, 34, 255

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

Divisors of 502

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

1, 2, 251, 502

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 34

List of positive integer divisors of 34 that divides 34 without a remainder.

1, 2, 17, 34

Divisors of 255

List of positive integer divisors of 255 that divides 255 without a remainder.

1, 3, 5, 15, 17, 51, 85, 255

Greatest Common Divisior

We found the divisors of 502, 528, 34, 255 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 502, 528, 34, 255 is 1.

Therefore, GCD of numbers 502, 528, 34, 255 is 1

Given Input Data is 502, 528, 34, 255

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

Prime Factorization of 502 is 2 x 251

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

Prime Factorization of 34 is 2 x 17

Prime Factorization of 255 is 3 x 5 x 17

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(502, 528) = 132528

GCD(502, 528) = ( 502 x 528 ) / 132528

GCD(502, 528) = 265056 / 132528

GCD(502, 528) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 34

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

LCM(2, 34) = 34

GCD(2, 34) = ( 2 x 34 ) / 34

GCD(2, 34) = 68 / 34

GCD(2, 34) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 255

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

LCM(2, 255) = 510

GCD(2, 255) = ( 2 x 255 ) / 510

GCD(2, 255) = 510 / 510

GCD(2, 255) = 1

GCD of 502, 528, 34, 255 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 923, 993, 62, 543
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• GCD of 125, 317, 69, 538
• GCD of 204, 922, 47, 655
• GCD of 778, 160, 54, 784

1. What is the GCD of 502, 528, 34, 255?

GCD of 502, 528, 34, 255 is 1

2. Where do I get the detailed procedure to find GCD of 502, 528, 34, 255?

You can find a detailed procedure to find GCD of 502, 528, 34, 255 on our page.

3. How to find GCD of 502, 528, 34, 255 on a calculator?

You can find the GCD of 502, 528, 34, 255 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.