GCD of 690, 297, 81, 249 Calculator

Given Input numbers are 690, 297, 81, 249

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

Divisors of 690

List of positive integer divisors of 690 that divides 690 without a remainder.

1, 2, 3, 5, 6, 10, 15, 23, 30, 46, 69, 115, 138, 230, 345, 690

Divisors of 297

List of positive integer divisors of 297 that divides 297 without a remainder.

1, 3, 9, 11, 27, 33, 99, 297

Divisors of 81

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

1, 3, 9, 27, 81

Divisors of 249

List of positive integer divisors of 249 that divides 249 without a remainder.

1, 3, 83, 249

Greatest Common Divisior

We found the divisors of 690, 297, 81, 249 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 690, 297, 81, 249 is 3.

Therefore, GCD of numbers 690, 297, 81, 249 is 3

Given Input Data is 690, 297, 81, 249

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

Prime Factorization of 690 is 2 x 3 x 5 x 23

Prime Factorization of 297 is 3 x 3 x 3 x 11

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

Prime Factorization of 249 is 3 x 83

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(690, 297) = 68310

GCD(690, 297) = ( 690 x 297 ) / 68310

GCD(690, 297) = 204930 / 68310

GCD(690, 297) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 81

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

LCM(3, 81) = 81

GCD(3, 81) = ( 3 x 81 ) / 81

GCD(3, 81) = 243 / 81

GCD(3, 81) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 249

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

LCM(3, 249) = 249

GCD(3, 249) = ( 3 x 249 ) / 249

GCD(3, 249) = 747 / 249

GCD(3, 249) = 3

GCD of 690, 297, 81, 249 is 3

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• GCD of 471, 313, 58, 825
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1. What is the GCD of 690, 297, 81, 249?

GCD of 690, 297, 81, 249 is 3

2. Where do I get the detailed procedure to find GCD of 690, 297, 81, 249?

You can find a detailed procedure to find GCD of 690, 297, 81, 249 on our page.

3. How to find GCD of 690, 297, 81, 249 on a calculator?

You can find the GCD of 690, 297, 81, 249 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.