GCD of 463, 314, 41, 477 Calculator

Given Input numbers are 463, 314, 41, 477

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

Divisors of 463

List of positive integer divisors of 463 that divides 463 without a remainder.

1, 463

Divisors of 314

List of positive integer divisors of 314 that divides 314 without a remainder.

1, 2, 157, 314

Divisors of 41

List of positive integer divisors of 41 that divides 41 without a remainder.

1, 41

Divisors of 477

List of positive integer divisors of 477 that divides 477 without a remainder.

1, 3, 9, 53, 159, 477

Greatest Common Divisior

We found the divisors of 463, 314, 41, 477 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 463, 314, 41, 477 is 1.

Therefore, GCD of numbers 463, 314, 41, 477 is 1

Given Input Data is 463, 314, 41, 477

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

Prime Factorization of 463 is 463

Prime Factorization of 314 is 2 x 157

Prime Factorization of 41 is 41

Prime Factorization of 477 is 3 x 3 x 53

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(463, 314) = 145382

GCD(463, 314) = ( 463 x 314 ) / 145382

GCD(463, 314) = 145382 / 145382

GCD(463, 314) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 41

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

LCM(1, 41) = 41

GCD(1, 41) = ( 1 x 41 ) / 41

GCD(1, 41) = 41 / 41

GCD(1, 41) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 477

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

LCM(1, 477) = 477

GCD(1, 477) = ( 1 x 477 ) / 477

GCD(1, 477) = 477 / 477

GCD(1, 477) = 1

GCD of 463, 314, 41, 477 is 1

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• GCD of 308, 284, 12, 221

1. What is the GCD of 463, 314, 41, 477?

GCD of 463, 314, 41, 477 is 1

2. Where do I get the detailed procedure to find GCD of 463, 314, 41, 477?

You can find a detailed procedure to find GCD of 463, 314, 41, 477 on our page.

3. How to find GCD of 463, 314, 41, 477 on a calculator?

You can find the GCD of 463, 314, 41, 477 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.