GCD of 530, 300, 54, 253 Calculator

Given Input numbers are 530, 300, 54, 253

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 300

List of positive integer divisors of 300 that divides 300 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 25, 30, 50, 60, 75, 100, 150, 300

Divisors of 54

List of positive integer divisors of 54 that divides 54 without a remainder.

1, 2, 3, 6, 9, 18, 27, 54

Divisors of 253

List of positive integer divisors of 253 that divides 253 without a remainder.

1, 11, 23, 253

Greatest Common Divisior

We found the divisors of 530, 300, 54, 253 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 530, 300, 54, 253 is 1.

Therefore, GCD of numbers 530, 300, 54, 253 is 1

Given Input Data is 530, 300, 54, 253

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 300 is 2 x 2 x 3 x 5 x 5

Prime Factorization of 54 is 2 x 3 x 3 x 3

Prime Factorization of 253 is 11 x 23

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, 300) = 15900

GCD(530, 300) = ( 530 x 300 ) / 15900

GCD(530, 300) = 159000 / 15900

GCD(530, 300) = 10

Step2:

Here we consider the GCD from the above i.e. 10 as first number and the next as 54

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

LCM(10, 54) = 270

GCD(10, 54) = ( 10 x 54 ) / 270

GCD(10, 54) = 540 / 270

GCD(10, 54) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 253

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

LCM(2, 253) = 506

GCD(2, 253) = ( 2 x 253 ) / 506

GCD(2, 253) = 506 / 506

GCD(2, 253) = 1

GCD of 530, 300, 54, 253 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 745, 501, 19, 508
• GCD of 642, 357, 47, 598
• GCD of 668, 719, 47, 685
• GCD of 833, 765, 10, 329
• GCD of 968, 790, 97, 184

1. What is the GCD of 530, 300, 54, 253?

GCD of 530, 300, 54, 253 is 1

2. Where do I get the detailed procedure to find GCD of 530, 300, 54, 253?

You can find a detailed procedure to find GCD of 530, 300, 54, 253 on our page.

3. How to find GCD of 530, 300, 54, 253 on a calculator?

You can find the GCD of 530, 300, 54, 253 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.