GCD of 352, 626, 819, 428 Calculator

Given Input numbers are 352, 626, 819, 428

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

Divisors of 352

List of positive integer divisors of 352 that divides 352 without a remainder.

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

Divisors of 626

List of positive integer divisors of 626 that divides 626 without a remainder.

1, 2, 313, 626

Divisors of 819

List of positive integer divisors of 819 that divides 819 without a remainder.

1, 3, 7, 9, 13, 21, 39, 63, 91, 117, 273, 819

Divisors of 428

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

1, 2, 4, 107, 214, 428

Greatest Common Divisior

We found the divisors of 352, 626, 819, 428 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 352, 626, 819, 428 is 1.

Therefore, GCD of numbers 352, 626, 819, 428 is 1

Given Input Data is 352, 626, 819, 428

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

Prime Factorization of 352 is 2 x 2 x 2 x 2 x 2 x 11

Prime Factorization of 626 is 2 x 313

Prime Factorization of 819 is 3 x 3 x 7 x 13

Prime Factorization of 428 is 2 x 2 x 107

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(352, 626) = 110176

GCD(352, 626) = ( 352 x 626 ) / 110176

GCD(352, 626) = 220352 / 110176

GCD(352, 626) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 819

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

LCM(2, 819) = 1638

GCD(2, 819) = ( 2 x 819 ) / 1638

GCD(2, 819) = 1638 / 1638

GCD(2, 819) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 428

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

LCM(1, 428) = 428

GCD(1, 428) = ( 1 x 428 ) / 428

GCD(1, 428) = 428 / 428

GCD(1, 428) = 1

GCD of 352, 626, 819, 428 is 1

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1. What is the GCD of 352, 626, 819, 428?

GCD of 352, 626, 819, 428 is 1

2. Where do I get the detailed procedure to find GCD of 352, 626, 819, 428?

You can find a detailed procedure to find GCD of 352, 626, 819, 428 on our page.

3. How to find GCD of 352, 626, 819, 428 on a calculator?

You can find the GCD of 352, 626, 819, 428 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.