GCD of 267, 684, 240, 444 Calculator

Given Input numbers are 267, 684, 240, 444

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 684

List of positive integer divisors of 684 that divides 684 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 19, 36, 38, 57, 76, 114, 171, 228, 342, 684

Divisors of 240

List of positive integer divisors of 240 that divides 240 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 40, 48, 60, 80, 120, 240

Divisors of 444

List of positive integer divisors of 444 that divides 444 without a remainder.

1, 2, 3, 4, 6, 12, 37, 74, 111, 148, 222, 444

Greatest Common Divisior

We found the divisors of 267, 684, 240, 444 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 267, 684, 240, 444 is 3.

Therefore, GCD of numbers 267, 684, 240, 444 is 3

Given Input Data is 267, 684, 240, 444

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

Prime Factorization of 267 is 3 x 89

Prime Factorization of 684 is 2 x 2 x 3 x 3 x 19

Prime Factorization of 240 is 2 x 2 x 2 x 2 x 3 x 5

Prime Factorization of 444 is 2 x 2 x 3 x 37

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(267, 684) = 60876

GCD(267, 684) = ( 267 x 684 ) / 60876

GCD(267, 684) = 182628 / 60876

GCD(267, 684) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 240

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

LCM(3, 240) = 240

GCD(3, 240) = ( 3 x 240 ) / 240

GCD(3, 240) = 720 / 240

GCD(3, 240) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 444

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

LCM(3, 444) = 444

GCD(3, 444) = ( 3 x 444 ) / 444

GCD(3, 444) = 1332 / 444

GCD(3, 444) = 3

GCD of 267, 684, 240, 444 is 3

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1. What is the GCD of 267, 684, 240, 444?

GCD of 267, 684, 240, 444 is 3

2. Where do I get the detailed procedure to find GCD of 267, 684, 240, 444?

You can find a detailed procedure to find GCD of 267, 684, 240, 444 on our page.

3. How to find GCD of 267, 684, 240, 444 on a calculator?

You can find the GCD of 267, 684, 240, 444 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.