GCD of 267, 231, 40, 302 Calculator

Given Input numbers are 267, 231, 40, 302

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

Divisors of 267

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

1, 3, 89, 267

Divisors of 231

List of positive integer divisors of 231 that divides 231 without a remainder.

1, 3, 7, 11, 21, 33, 77, 231

Divisors of 40

List of positive integer divisors of 40 that divides 40 without a remainder.

1, 2, 4, 5, 8, 10, 20, 40

Divisors of 302

List of positive integer divisors of 302 that divides 302 without a remainder.

1, 2, 151, 302

Greatest Common Divisior

We found the divisors of 267, 231, 40, 302 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 267, 231, 40, 302 is 1.

Therefore, GCD of numbers 267, 231, 40, 302 is 1

Given Input Data is 267, 231, 40, 302

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

Prime Factorization of 267 is 3 x 89

Prime Factorization of 231 is 3 x 7 x 11

Prime Factorization of 40 is 2 x 2 x 2 x 5

Prime Factorization of 302 is 2 x 151

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(267, 231) = 20559

GCD(267, 231) = ( 267 x 231 ) / 20559

GCD(267, 231) = 61677 / 20559

GCD(267, 231) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 40

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

LCM(3, 40) = 120

GCD(3, 40) = ( 3 x 40 ) / 120

GCD(3, 40) = 120 / 120

GCD(3, 40) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 302

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

LCM(1, 302) = 302

GCD(1, 302) = ( 1 x 302 ) / 302

GCD(1, 302) = 302 / 302

GCD(1, 302) = 1

GCD of 267, 231, 40, 302 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 893, 757, 26, 803
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• GCD of 273, 317, 77, 461

1. What is the GCD of 267, 231, 40, 302?

GCD of 267, 231, 40, 302 is 1

2. Where do I get the detailed procedure to find GCD of 267, 231, 40, 302?

You can find a detailed procedure to find GCD of 267, 231, 40, 302 on our page.

3. How to find GCD of 267, 231, 40, 302 on a calculator?

You can find the GCD of 267, 231, 40, 302 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.