GCD of 463, 403, 448, 871 Calculator

Given Input numbers are 463, 403, 448, 871

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 403

List of positive integer divisors of 403 that divides 403 without a remainder.

1, 13, 31, 403

Divisors of 448

List of positive integer divisors of 448 that divides 448 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 224, 448

Divisors of 871

List of positive integer divisors of 871 that divides 871 without a remainder.

1, 13, 67, 871

Greatest Common Divisior

We found the divisors of 463, 403, 448, 871 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 463, 403, 448, 871 is 1.

Therefore, GCD of numbers 463, 403, 448, 871 is 1

Given Input Data is 463, 403, 448, 871

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

Prime Factorization of 463 is 463

Prime Factorization of 403 is 13 x 31

Prime Factorization of 448 is 2 x 2 x 2 x 2 x 2 x 2 x 7

Prime Factorization of 871 is 13 x 67

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, 403) = 186589

GCD(463, 403) = ( 463 x 403 ) / 186589

GCD(463, 403) = 186589 / 186589

GCD(463, 403) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 448

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

LCM(1, 448) = 448

GCD(1, 448) = ( 1 x 448 ) / 448

GCD(1, 448) = 448 / 448

GCD(1, 448) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 871

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

LCM(1, 871) = 871

GCD(1, 871) = ( 1 x 871 ) / 871

GCD(1, 871) = 871 / 871

GCD(1, 871) = 1

GCD of 463, 403, 448, 871 is 1

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1. What is the GCD of 463, 403, 448, 871?

GCD of 463, 403, 448, 871 is 1

2. Where do I get the detailed procedure to find GCD of 463, 403, 448, 871?

You can find a detailed procedure to find GCD of 463, 403, 448, 871 on our page.

3. How to find GCD of 463, 403, 448, 871 on a calculator?

You can find the GCD of 463, 403, 448, 871 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.