GCD of 447, 369, 196, 368 Calculator

Given Input numbers are 447, 369, 196, 368

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

Divisors of 447

List of positive integer divisors of 447 that divides 447 without a remainder.

1, 3, 149, 447

Divisors of 369

List of positive integer divisors of 369 that divides 369 without a remainder.

1, 3, 9, 41, 123, 369

Divisors of 196

List of positive integer divisors of 196 that divides 196 without a remainder.

1, 2, 4, 7, 14, 28, 49, 98, 196

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 447, 369, 196, 368 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 447, 369, 196, 368 is 1.

Therefore, GCD of numbers 447, 369, 196, 368 is 1

Given Input Data is 447, 369, 196, 368

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

Prime Factorization of 447 is 3 x 149

Prime Factorization of 369 is 3 x 3 x 41

Prime Factorization of 196 is 2 x 2 x 7 x 7

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(447, 369) = 54981

GCD(447, 369) = ( 447 x 369 ) / 54981

GCD(447, 369) = 164943 / 54981

GCD(447, 369) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 196

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

LCM(3, 196) = 588

GCD(3, 196) = ( 3 x 196 ) / 588

GCD(3, 196) = 588 / 588

GCD(3, 196) = 1

Step3:

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 447, 369, 196, 368 is 1

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1. What is the GCD of 447, 369, 196, 368?

GCD of 447, 369, 196, 368 is 1

2. Where do I get the detailed procedure to find GCD of 447, 369, 196, 368?

You can find a detailed procedure to find GCD of 447, 369, 196, 368 on our page.

3. How to find GCD of 447, 369, 196, 368 on a calculator?

You can find the GCD of 447, 369, 196, 368 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.