GCD of 406, 675, 368 Calculator

Given Input numbers are 406, 675, 368

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

Divisors of 406

List of positive integer divisors of 406 that divides 406 without a remainder.

1, 2, 7, 14, 29, 58, 203, 406

Divisors of 675

List of positive integer divisors of 675 that divides 675 without a remainder.

1, 3, 5, 9, 15, 25, 27, 45, 75, 135, 225, 675

Divisors of 368

List of positive integer divisors of 368 that divides 368 without a remainder.

1, 2, 4, 8, 16, 23, 46, 92, 184, 368

Greatest Common Divisior

We found the divisors of 406, 675, 368 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 406, 675, 368 is 1.

Therefore, GCD of numbers 406, 675, 368 is 1

Given Input Data is 406, 675, 368

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

Prime Factorization of 406 is 2 x 7 x 29

Prime Factorization of 675 is 3 x 3 x 3 x 5 x 5

Prime Factorization of 368 is 2 x 2 x 2 x 2 x 23

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(406, 675) = 274050

GCD(406, 675) = ( 406 x 675 ) / 274050

GCD(406, 675) = 274050 / 274050

GCD(406, 675) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 368

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

LCM(1, 368) = 368

GCD(1, 368) = ( 1 x 368 ) / 368

GCD(1, 368) = 368 / 368

GCD(1, 368) = 1

GCD of 406, 675, 368 is 1

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1. What is the GCD of 406, 675, 368?

GCD of 406, 675, 368 is 1

2. Where do I get the detailed procedure to find GCD of 406, 675, 368?

You can find a detailed procedure to find GCD of 406, 675, 368 on our page.

3. How to find GCD of 406, 675, 368 on a calculator?

You can find the GCD of 406, 675, 368 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.