GCD of 51, 816, 359, 424 Calculator

Given Input numbers are 51, 816, 359, 424

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

Divisors of 51

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

1, 3, 17, 51

Divisors of 816

List of positive integer divisors of 816 that divides 816 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 17, 24, 34, 48, 51, 68, 102, 136, 204, 272, 408, 816

Divisors of 359

List of positive integer divisors of 359 that divides 359 without a remainder.

1, 359

Divisors of 424

List of positive integer divisors of 424 that divides 424 without a remainder.

1, 2, 4, 8, 53, 106, 212, 424

Greatest Common Divisior

We found the divisors of 51, 816, 359, 424 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 51, 816, 359, 424 is 1.

Therefore, GCD of numbers 51, 816, 359, 424 is 1

Given Input Data is 51, 816, 359, 424

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

Prime Factorization of 51 is 3 x 17

Prime Factorization of 816 is 2 x 2 x 2 x 2 x 3 x 17

Prime Factorization of 359 is 359

Prime Factorization of 424 is 2 x 2 x 2 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(51, 816) = 816

GCD(51, 816) = ( 51 x 816 ) / 816

GCD(51, 816) = 41616 / 816

GCD(51, 816) = 51

Step2:

Here we consider the GCD from the above i.e. 51 as first number and the next as 359

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

LCM(51, 359) = 18309

GCD(51, 359) = ( 51 x 359 ) / 18309

GCD(51, 359) = 18309 / 18309

GCD(51, 359) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 424

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

LCM(1, 424) = 424

GCD(1, 424) = ( 1 x 424 ) / 424

GCD(1, 424) = 424 / 424

GCD(1, 424) = 1

GCD of 51, 816, 359, 424 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 11, 524, 198, 468
• GCD of 34, 301, 193, 381
• GCD of 89, 399, 806, 466
• GCD of 42, 185, 620, 667
• GCD of 39, 985, 894, 169

1. What is the GCD of 51, 816, 359, 424?

GCD of 51, 816, 359, 424 is 1

2. Where do I get the detailed procedure to find GCD of 51, 816, 359, 424?

You can find a detailed procedure to find GCD of 51, 816, 359, 424 on our page.

3. How to find GCD of 51, 816, 359, 424 on a calculator?

You can find the GCD of 51, 816, 359, 424 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.