GCD of 428, 816, 29, 474 Calculator

Given Input numbers are 428, 816, 29, 474

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

Divisors of 428

List of positive integer divisors of 428 that divides 428 without a remainder.

1, 2, 4, 107, 214, 428

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 29

List of positive integer divisors of 29 that divides 29 without a remainder.

1, 29

Divisors of 474

List of positive integer divisors of 474 that divides 474 without a remainder.

1, 2, 3, 6, 79, 158, 237, 474

Greatest Common Divisior

We found the divisors of 428, 816, 29, 474 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 428, 816, 29, 474 is 1.

Therefore, GCD of numbers 428, 816, 29, 474 is 1

Given Input Data is 428, 816, 29, 474

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

Prime Factorization of 428 is 2 x 2 x 107

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

Prime Factorization of 29 is 29

Prime Factorization of 474 is 2 x 3 x 79

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(428, 816) = 87312

GCD(428, 816) = ( 428 x 816 ) / 87312

GCD(428, 816) = 349248 / 87312

GCD(428, 816) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 29

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

LCM(4, 29) = 116

GCD(4, 29) = ( 4 x 29 ) / 116

GCD(4, 29) = 116 / 116

GCD(4, 29) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 474

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

LCM(1, 474) = 474

GCD(1, 474) = ( 1 x 474 ) / 474

GCD(1, 474) = 474 / 474

GCD(1, 474) = 1

GCD of 428, 816, 29, 474 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 924, 526, 19, 853
• GCD of 710, 169, 48, 861
• GCD of 783, 301, 48, 858
• GCD of 955, 346, 92, 856
• GCD of 458, 525, 49, 673

1. What is the GCD of 428, 816, 29, 474?

GCD of 428, 816, 29, 474 is 1

2. Where do I get the detailed procedure to find GCD of 428, 816, 29, 474?

You can find a detailed procedure to find GCD of 428, 816, 29, 474 on our page.

3. How to find GCD of 428, 816, 29, 474 on a calculator?

You can find the GCD of 428, 816, 29, 474 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.