GCD of 576, 366, 407, 267 Calculator

Given Input numbers are 576, 366, 407, 267

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

Divisors of 576

List of positive integer divisors of 576 that divides 576 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 64, 72, 96, 144, 192, 288, 576

Divisors of 366

List of positive integer divisors of 366 that divides 366 without a remainder.

1, 2, 3, 6, 61, 122, 183, 366

Divisors of 407

List of positive integer divisors of 407 that divides 407 without a remainder.

1, 11, 37, 407

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 576, 366, 407, 267 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 576, 366, 407, 267 is 1.

Therefore, GCD of numbers 576, 366, 407, 267 is 1

Given Input Data is 576, 366, 407, 267

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

Prime Factorization of 576 is 2 x 2 x 2 x 2 x 2 x 2 x 3 x 3

Prime Factorization of 366 is 2 x 3 x 61

Prime Factorization of 407 is 11 x 37

Prime Factorization of 267 is 3 x 89

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(576, 366) = 35136

GCD(576, 366) = ( 576 x 366 ) / 35136

GCD(576, 366) = 210816 / 35136

GCD(576, 366) = 6

Step2:

Here we consider the GCD from the above i.e. 6 as first number and the next as 407

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

LCM(6, 407) = 2442

GCD(6, 407) = ( 6 x 407 ) / 2442

GCD(6, 407) = 2442 / 2442

GCD(6, 407) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 267

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

LCM(1, 267) = 267

GCD(1, 267) = ( 1 x 267 ) / 267

GCD(1, 267) = 267 / 267

GCD(1, 267) = 1

GCD of 576, 366, 407, 267 is 1

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1. What is the GCD of 576, 366, 407, 267?

GCD of 576, 366, 407, 267 is 1

2. Where do I get the detailed procedure to find GCD of 576, 366, 407, 267?

You can find a detailed procedure to find GCD of 576, 366, 407, 267 on our page.

3. How to find GCD of 576, 366, 407, 267 on a calculator?

You can find the GCD of 576, 366, 407, 267 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.