GCD of 906, 459, 267, 708 Calculator

Given Input numbers are 906, 459, 267, 708

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

Divisors of 906

List of positive integer divisors of 906 that divides 906 without a remainder.

1, 2, 3, 6, 151, 302, 453, 906

Divisors of 459

List of positive integer divisors of 459 that divides 459 without a remainder.

1, 3, 9, 17, 27, 51, 153, 459

Divisors of 267

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

1, 3, 89, 267

Divisors of 708

List of positive integer divisors of 708 that divides 708 without a remainder.

1, 2, 3, 4, 6, 12, 59, 118, 177, 236, 354, 708

Greatest Common Divisior

We found the divisors of 906, 459, 267, 708 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 906, 459, 267, 708 is 3.

Therefore, GCD of numbers 906, 459, 267, 708 is 3

Given Input Data is 906, 459, 267, 708

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

Prime Factorization of 906 is 2 x 3 x 151

Prime Factorization of 459 is 3 x 3 x 3 x 17

Prime Factorization of 267 is 3 x 89

Prime Factorization of 708 is 2 x 2 x 3 x 59

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(906, 459) = 138618

GCD(906, 459) = ( 906 x 459 ) / 138618

GCD(906, 459) = 415854 / 138618

GCD(906, 459) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 267

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

LCM(3, 267) = 267

GCD(3, 267) = ( 3 x 267 ) / 267

GCD(3, 267) = 801 / 267

GCD(3, 267) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 708

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

LCM(3, 708) = 708

GCD(3, 708) = ( 3 x 708 ) / 708

GCD(3, 708) = 2124 / 708

GCD(3, 708) = 3

GCD of 906, 459, 267, 708 is 3

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1. What is the GCD of 906, 459, 267, 708?

GCD of 906, 459, 267, 708 is 3

2. Where do I get the detailed procedure to find GCD of 906, 459, 267, 708?

You can find a detailed procedure to find GCD of 906, 459, 267, 708 on our page.

3. How to find GCD of 906, 459, 267, 708 on a calculator?

You can find the GCD of 906, 459, 267, 708 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.