GCD of 470, 216, 51, 401 Calculator

Given Input numbers are 470, 216, 51, 401

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

Divisors of 470

List of positive integer divisors of 470 that divides 470 without a remainder.

1, 2, 5, 10, 47, 94, 235, 470

Divisors of 216

List of positive integer divisors of 216 that divides 216 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 108, 216

Divisors of 51

List of positive integer divisors of 51 that divides 51 without a remainder.

1, 3, 17, 51

Divisors of 401

List of positive integer divisors of 401 that divides 401 without a remainder.

1, 401

Greatest Common Divisior

We found the divisors of 470, 216, 51, 401 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 470, 216, 51, 401 is 1.

Therefore, GCD of numbers 470, 216, 51, 401 is 1

Given Input Data is 470, 216, 51, 401

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

Prime Factorization of 470 is 2 x 5 x 47

Prime Factorization of 216 is 2 x 2 x 2 x 3 x 3 x 3

Prime Factorization of 51 is 3 x 17

Prime Factorization of 401 is 401

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(470, 216) = 50760

GCD(470, 216) = ( 470 x 216 ) / 50760

GCD(470, 216) = 101520 / 50760

GCD(470, 216) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 51

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

LCM(2, 51) = 102

GCD(2, 51) = ( 2 x 51 ) / 102

GCD(2, 51) = 102 / 102

GCD(2, 51) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 401

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

LCM(1, 401) = 401

GCD(1, 401) = ( 1 x 401 ) / 401

GCD(1, 401) = 401 / 401

GCD(1, 401) = 1

GCD of 470, 216, 51, 401 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 493, 822, 92, 607
• GCD of 192, 576, 37, 784
• GCD of 919, 406, 14, 772
• GCD of 424, 807, 39, 457
• GCD of 565, 738, 12, 588

1. What is the GCD of 470, 216, 51, 401?

GCD of 470, 216, 51, 401 is 1

2. Where do I get the detailed procedure to find GCD of 470, 216, 51, 401?

You can find a detailed procedure to find GCD of 470, 216, 51, 401 on our page.

3. How to find GCD of 470, 216, 51, 401 on a calculator?

You can find the GCD of 470, 216, 51, 401 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.