GCD of 459, 520, 648, 253 Calculator

Given Input numbers are 459, 520, 648, 253

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

Divisors of 459

List of positive integer divisors of 459 that divides 459 without a remainder.

1, 3, 9, 17, 27, 51, 153, 459

Divisors of 520

List of positive integer divisors of 520 that divides 520 without a remainder.

1, 2, 4, 5, 8, 10, 13, 20, 26, 40, 52, 65, 104, 130, 260, 520

Divisors of 648

List of positive integer divisors of 648 that divides 648 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 81, 108, 162, 216, 324, 648

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 459, 520, 648, 253 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 459, 520, 648, 253 is 1.

Therefore, GCD of numbers 459, 520, 648, 253 is 1

Given Input Data is 459, 520, 648, 253

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

Prime Factorization of 459 is 3 x 3 x 3 x 17

Prime Factorization of 520 is 2 x 2 x 2 x 5 x 13

Prime Factorization of 648 is 2 x 2 x 2 x 3 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(459, 520) = 238680

GCD(459, 520) = ( 459 x 520 ) / 238680

GCD(459, 520) = 238680 / 238680

GCD(459, 520) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 648

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

LCM(1, 648) = 648

GCD(1, 648) = ( 1 x 648 ) / 648

GCD(1, 648) = 648 / 648

GCD(1, 648) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 253

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

LCM(1, 253) = 253

GCD(1, 253) = ( 1 x 253 ) / 253

GCD(1, 253) = 253 / 253

GCD(1, 253) = 1

GCD of 459, 520, 648, 253 is 1

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1. What is the GCD of 459, 520, 648, 253?

GCD of 459, 520, 648, 253 is 1

2. Where do I get the detailed procedure to find GCD of 459, 520, 648, 253?

You can find a detailed procedure to find GCD of 459, 520, 648, 253 on our page.

3. How to find GCD of 459, 520, 648, 253 on a calculator?

You can find the GCD of 459, 520, 648, 253 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.