GCD of 491, 627, 456, 447 Calculator

Given Input numbers are 491, 627, 456, 447

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

Divisors of 491

List of positive integer divisors of 491 that divides 491 without a remainder.

1, 491

Divisors of 627

List of positive integer divisors of 627 that divides 627 without a remainder.

1, 3, 11, 19, 33, 57, 209, 627

Divisors of 456

List of positive integer divisors of 456 that divides 456 without a remainder.

1, 2, 3, 4, 6, 8, 12, 19, 24, 38, 57, 76, 114, 152, 228, 456

Divisors of 447

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

1, 3, 149, 447

Greatest Common Divisior

We found the divisors of 491, 627, 456, 447 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 491, 627, 456, 447 is 1.

Therefore, GCD of numbers 491, 627, 456, 447 is 1

Given Input Data is 491, 627, 456, 447

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

Prime Factorization of 491 is 491

Prime Factorization of 627 is 3 x 11 x 19

Prime Factorization of 456 is 2 x 2 x 2 x 3 x 19

Prime Factorization of 447 is 3 x 149

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(491, 627) = 307857

GCD(491, 627) = ( 491 x 627 ) / 307857

GCD(491, 627) = 307857 / 307857

GCD(491, 627) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 456

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

LCM(1, 456) = 456

GCD(1, 456) = ( 1 x 456 ) / 456

GCD(1, 456) = 456 / 456

GCD(1, 456) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 447

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

LCM(1, 447) = 447

GCD(1, 447) = ( 1 x 447 ) / 447

GCD(1, 447) = 447 / 447

GCD(1, 447) = 1

GCD of 491, 627, 456, 447 is 1

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1. What is the GCD of 491, 627, 456, 447?

GCD of 491, 627, 456, 447 is 1

2. Where do I get the detailed procedure to find GCD of 491, 627, 456, 447?

You can find a detailed procedure to find GCD of 491, 627, 456, 447 on our page.

3. How to find GCD of 491, 627, 456, 447 on a calculator?

You can find the GCD of 491, 627, 456, 447 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.