GCD of 369, 306, 267 Calculator

Given Input numbers are 369, 306, 267

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

Divisors of 369

List of positive integer divisors of 369 that divides 369 without a remainder.

1, 3, 9, 41, 123, 369

Divisors of 306

List of positive integer divisors of 306 that divides 306 without a remainder.

1, 2, 3, 6, 9, 17, 18, 34, 51, 102, 153, 306

Divisors of 267

List of positive integer divisors of 267 that divides 267 without a remainder.

1, 3, 89, 267

Greatest Common Divisior

We found the divisors of 369, 306, 267 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 369, 306, 267 is 3.

Therefore, GCD of numbers 369, 306, 267 is 3

Given Input Data is 369, 306, 267

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

Prime Factorization of 369 is 3 x 3 x 41

Prime Factorization of 306 is 2 x 3 x 3 x 17

Prime Factorization of 267 is 3 x 89

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(369, 306) = 12546

GCD(369, 306) = ( 369 x 306 ) / 12546

GCD(369, 306) = 112914 / 12546

GCD(369, 306) = 9

Step2:

Here we consider the GCD from the above i.e. 9 as first number and the next as 267

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

LCM(9, 267) = 801

GCD(9, 267) = ( 9 x 267 ) / 801

GCD(9, 267) = 2403 / 801

GCD(9, 267) = 3

GCD of 369, 306, 267 is 3

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• GCD of 516, 939, 270
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1. What is the GCD of 369, 306, 267?

GCD of 369, 306, 267 is 3

2. Where do I get the detailed procedure to find GCD of 369, 306, 267?

You can find a detailed procedure to find GCD of 369, 306, 267 on our page.

3. How to find GCD of 369, 306, 267 on a calculator?

You can find the GCD of 369, 306, 267 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.