GCD of 463, 484, 14, 704 Calculator

Given Input numbers are 463, 484, 14, 704

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 484

List of positive integer divisors of 484 that divides 484 without a remainder.

1, 2, 4, 11, 22, 44, 121, 242, 484

Divisors of 14

List of positive integer divisors of 14 that divides 14 without a remainder.

1, 2, 7, 14

Divisors of 704

List of positive integer divisors of 704 that divides 704 without a remainder.

1, 2, 4, 8, 11, 16, 22, 32, 44, 64, 88, 176, 352, 704

Greatest Common Divisior

We found the divisors of 463, 484, 14, 704 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 463, 484, 14, 704 is 1.

Therefore, GCD of numbers 463, 484, 14, 704 is 1

Given Input Data is 463, 484, 14, 704

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

Prime Factorization of 463 is 463

Prime Factorization of 484 is 2 x 2 x 11 x 11

Prime Factorization of 14 is 2 x 7

Prime Factorization of 704 is 2 x 2 x 2 x 2 x 2 x 2 x 11

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, 484) = 224092

GCD(463, 484) = ( 463 x 484 ) / 224092

GCD(463, 484) = 224092 / 224092

GCD(463, 484) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 14

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

LCM(1, 14) = 14

GCD(1, 14) = ( 1 x 14 ) / 14

GCD(1, 14) = 14 / 14

GCD(1, 14) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 704

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

LCM(1, 704) = 704

GCD(1, 704) = ( 1 x 704 ) / 704

GCD(1, 704) = 704 / 704

GCD(1, 704) = 1

GCD of 463, 484, 14, 704 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 608, 622, 96, 211
• GCD of 488, 124, 90, 464
• GCD of 358, 291, 93, 662
• GCD of 339, 374, 72, 954
• GCD of 212, 895, 22, 783

1. What is the GCD of 463, 484, 14, 704?

GCD of 463, 484, 14, 704 is 1

2. Where do I get the detailed procedure to find GCD of 463, 484, 14, 704?

You can find a detailed procedure to find GCD of 463, 484, 14, 704 on our page.

3. How to find GCD of 463, 484, 14, 704 on a calculator?

You can find the GCD of 463, 484, 14, 704 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.