GCD of 495, 253, 802, 544 Calculator

Given Input numbers are 495, 253, 802, 544

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

Divisors of 495

List of positive integer divisors of 495 that divides 495 without a remainder.

1, 3, 5, 9, 11, 15, 33, 45, 55, 99, 165, 495

Divisors of 253

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

1, 11, 23, 253

Divisors of 802

List of positive integer divisors of 802 that divides 802 without a remainder.

1, 2, 401, 802

Divisors of 544

List of positive integer divisors of 544 that divides 544 without a remainder.

1, 2, 4, 8, 16, 17, 32, 34, 68, 136, 272, 544

Greatest Common Divisior

We found the divisors of 495, 253, 802, 544 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 495, 253, 802, 544 is 1.

Therefore, GCD of numbers 495, 253, 802, 544 is 1

Given Input Data is 495, 253, 802, 544

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

Prime Factorization of 495 is 3 x 3 x 5 x 11

Prime Factorization of 253 is 11 x 23

Prime Factorization of 802 is 2 x 401

Prime Factorization of 544 is 2 x 2 x 2 x 2 x 2 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(495, 253) = 11385

GCD(495, 253) = ( 495 x 253 ) / 11385

GCD(495, 253) = 125235 / 11385

GCD(495, 253) = 11

Step2:

Here we consider the GCD from the above i.e. 11 as first number and the next as 802

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

LCM(11, 802) = 8822

GCD(11, 802) = ( 11 x 802 ) / 8822

GCD(11, 802) = 8822 / 8822

GCD(11, 802) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 544

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

LCM(1, 544) = 544

GCD(1, 544) = ( 1 x 544 ) / 544

GCD(1, 544) = 544 / 544

GCD(1, 544) = 1

GCD of 495, 253, 802, 544 is 1

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1. What is the GCD of 495, 253, 802, 544?

GCD of 495, 253, 802, 544 is 1

2. Where do I get the detailed procedure to find GCD of 495, 253, 802, 544?

You can find a detailed procedure to find GCD of 495, 253, 802, 544 on our page.

3. How to find GCD of 495, 253, 802, 544 on a calculator?

You can find the GCD of 495, 253, 802, 544 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.