GCD of 829, 437, 20, 352 Calculator

Given Input numbers are 829, 437, 20, 352

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

Divisors of 829

List of positive integer divisors of 829 that divides 829 without a remainder.

1, 829

Divisors of 437

List of positive integer divisors of 437 that divides 437 without a remainder.

1, 19, 23, 437

Divisors of 20

List of positive integer divisors of 20 that divides 20 without a remainder.

1, 2, 4, 5, 10, 20

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

Greatest Common Divisior

We found the divisors of 829, 437, 20, 352 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 829, 437, 20, 352 is 1.

Therefore, GCD of numbers 829, 437, 20, 352 is 1

Given Input Data is 829, 437, 20, 352

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

Prime Factorization of 829 is 829

Prime Factorization of 437 is 19 x 23

Prime Factorization of 20 is 2 x 2 x 5

Prime Factorization of 352 is 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(829, 437) = 362273

GCD(829, 437) = ( 829 x 437 ) / 362273

GCD(829, 437) = 362273 / 362273

GCD(829, 437) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 20

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

LCM(1, 20) = 20

GCD(1, 20) = ( 1 x 20 ) / 20

GCD(1, 20) = 20 / 20

GCD(1, 20) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 352

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

LCM(1, 352) = 352

GCD(1, 352) = ( 1 x 352 ) / 352

GCD(1, 352) = 352 / 352

GCD(1, 352) = 1

GCD of 829, 437, 20, 352 is 1

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1. What is the GCD of 829, 437, 20, 352?

GCD of 829, 437, 20, 352 is 1

2. Where do I get the detailed procedure to find GCD of 829, 437, 20, 352?

You can find a detailed procedure to find GCD of 829, 437, 20, 352 on our page.

3. How to find GCD of 829, 437, 20, 352 on a calculator?

You can find the GCD of 829, 437, 20, 352 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.