GCD of 447, 478, 78, 687 Calculator

Given Input numbers are 447, 478, 78, 687

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 478

List of positive integer divisors of 478 that divides 478 without a remainder.

1, 2, 239, 478

Divisors of 78

List of positive integer divisors of 78 that divides 78 without a remainder.

1, 2, 3, 6, 13, 26, 39, 78

Divisors of 687

List of positive integer divisors of 687 that divides 687 without a remainder.

1, 3, 229, 687

Greatest Common Divisior

We found the divisors of 447, 478, 78, 687 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 447, 478, 78, 687 is 1.

Therefore, GCD of numbers 447, 478, 78, 687 is 1

Given Input Data is 447, 478, 78, 687

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

Prime Factorization of 447 is 3 x 149

Prime Factorization of 478 is 2 x 239

Prime Factorization of 78 is 2 x 3 x 13

Prime Factorization of 687 is 3 x 229

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, 478) = 213666

GCD(447, 478) = ( 447 x 478 ) / 213666

GCD(447, 478) = 213666 / 213666

GCD(447, 478) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 78

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

LCM(1, 78) = 78

GCD(1, 78) = ( 1 x 78 ) / 78

GCD(1, 78) = 78 / 78

GCD(1, 78) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 687

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

LCM(1, 687) = 687

GCD(1, 687) = ( 1 x 687 ) / 687

GCD(1, 687) = 687 / 687

GCD(1, 687) = 1

GCD of 447, 478, 78, 687 is 1

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1. What is the GCD of 447, 478, 78, 687?

GCD of 447, 478, 78, 687 is 1

2. Where do I get the detailed procedure to find GCD of 447, 478, 78, 687?

You can find a detailed procedure to find GCD of 447, 478, 78, 687 on our page.

3. How to find GCD of 447, 478, 78, 687 on a calculator?

You can find the GCD of 447, 478, 78, 687 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.