GCD of 273, 525, 81, 336 Calculator

Given Input numbers are 273, 525, 81, 336

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

Divisors of 273

List of positive integer divisors of 273 that divides 273 without a remainder.

1, 3, 7, 13, 21, 39, 91, 273

Divisors of 525

List of positive integer divisors of 525 that divides 525 without a remainder.

1, 3, 5, 7, 15, 21, 25, 35, 75, 105, 175, 525

Divisors of 81

List of positive integer divisors of 81 that divides 81 without a remainder.

1, 3, 9, 27, 81

Divisors of 336

List of positive integer divisors of 336 that divides 336 without a remainder.

1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 42, 48, 56, 84, 112, 168, 336

Greatest Common Divisior

We found the divisors of 273, 525, 81, 336 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 273, 525, 81, 336 is 3.

Therefore, GCD of numbers 273, 525, 81, 336 is 3

Given Input Data is 273, 525, 81, 336

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

Prime Factorization of 273 is 3 x 7 x 13

Prime Factorization of 525 is 3 x 5 x 5 x 7

Prime Factorization of 81 is 3 x 3 x 3 x 3

Prime Factorization of 336 is 2 x 2 x 2 x 2 x 3 x 7

Highest common occurrences in the given inputs are 3¹

Multiplying them we get the GCD as 3

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(273, 525) = 6825

GCD(273, 525) = ( 273 x 525 ) / 6825

GCD(273, 525) = 143325 / 6825

GCD(273, 525) = 21

Step2:

Here we consider the GCD from the above i.e. 21 as first number and the next as 81

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

LCM(21, 81) = 567

GCD(21, 81) = ( 21 x 81 ) / 567

GCD(21, 81) = 1701 / 567

GCD(21, 81) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 336

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

LCM(3, 336) = 336

GCD(3, 336) = ( 3 x 336 ) / 336

GCD(3, 336) = 1008 / 336

GCD(3, 336) = 3

GCD of 273, 525, 81, 336 is 3

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• GCD of 570, 161, 82, 605
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• GCD of 784, 786, 82, 607

1. What is the GCD of 273, 525, 81, 336?

GCD of 273, 525, 81, 336 is 3

2. Where do I get the detailed procedure to find GCD of 273, 525, 81, 336?

You can find a detailed procedure to find GCD of 273, 525, 81, 336 on our page.

3. How to find GCD of 273, 525, 81, 336 on a calculator?

You can find the GCD of 273, 525, 81, 336 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.