GCD of 530, 280, 524, 303 Calculator

Given Input numbers are 530, 280, 524, 303

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

Divisors of 530

List of positive integer divisors of 530 that divides 530 without a remainder.

1, 2, 5, 10, 53, 106, 265, 530

Divisors of 280

List of positive integer divisors of 280 that divides 280 without a remainder.

1, 2, 4, 5, 7, 8, 10, 14, 20, 28, 35, 40, 56, 70, 140, 280

Divisors of 524

List of positive integer divisors of 524 that divides 524 without a remainder.

1, 2, 4, 131, 262, 524

Divisors of 303

List of positive integer divisors of 303 that divides 303 without a remainder.

1, 3, 101, 303

Greatest Common Divisior

We found the divisors of 530, 280, 524, 303 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 530, 280, 524, 303 is 1.

Therefore, GCD of numbers 530, 280, 524, 303 is 1

Given Input Data is 530, 280, 524, 303

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

Prime Factorization of 530 is 2 x 5 x 53

Prime Factorization of 280 is 2 x 2 x 2 x 5 x 7

Prime Factorization of 524 is 2 x 2 x 131

Prime Factorization of 303 is 3 x 101

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(530, 280) = 14840

GCD(530, 280) = ( 530 x 280 ) / 14840

GCD(530, 280) = 148400 / 14840

GCD(530, 280) = 10

Step2:

Here we consider the GCD from the above i.e. 10 as first number and the next as 524

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

LCM(10, 524) = 2620

GCD(10, 524) = ( 10 x 524 ) / 2620

GCD(10, 524) = 5240 / 2620

GCD(10, 524) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 303

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

LCM(2, 303) = 606

GCD(2, 303) = ( 2 x 303 ) / 606

GCD(2, 303) = 606 / 606

GCD(2, 303) = 1

GCD of 530, 280, 524, 303 is 1

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1. What is the GCD of 530, 280, 524, 303?

GCD of 530, 280, 524, 303 is 1

2. Where do I get the detailed procedure to find GCD of 530, 280, 524, 303?

You can find a detailed procedure to find GCD of 530, 280, 524, 303 on our page.

3. How to find GCD of 530, 280, 524, 303 on a calculator?

You can find the GCD of 530, 280, 524, 303 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.