GCD of 800, 798, 525, 328 Calculator

Given Input numbers are 800, 798, 525, 328

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

Divisors of 800

List of positive integer divisors of 800 that divides 800 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 25, 32, 40, 50, 80, 100, 160, 200, 400, 800

Divisors of 798

List of positive integer divisors of 798 that divides 798 without a remainder.

1, 2, 3, 6, 7, 14, 19, 21, 38, 42, 57, 114, 133, 266, 399, 798

Divisors of 525

List of positive integer divisors of 525 that divides 525 without a remainder.

1, 3, 5, 7, 15, 21, 25, 35, 75, 105, 175, 525

Divisors of 328

List of positive integer divisors of 328 that divides 328 without a remainder.

1, 2, 4, 8, 41, 82, 164, 328

Greatest Common Divisior

We found the divisors of 800, 798, 525, 328 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 800, 798, 525, 328 is 1.

Therefore, GCD of numbers 800, 798, 525, 328 is 1

Given Input Data is 800, 798, 525, 328

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

Prime Factorization of 800 is 2 x 2 x 2 x 2 x 2 x 5 x 5

Prime Factorization of 798 is 2 x 3 x 7 x 19

Prime Factorization of 525 is 3 x 5 x 5 x 7

Prime Factorization of 328 is 2 x 2 x 2 x 41

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(800, 798) = 319200

GCD(800, 798) = ( 800 x 798 ) / 319200

GCD(800, 798) = 638400 / 319200

GCD(800, 798) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 525

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

LCM(2, 525) = 1050

GCD(2, 525) = ( 2 x 525 ) / 1050

GCD(2, 525) = 1050 / 1050

GCD(2, 525) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 328

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

LCM(1, 328) = 328

GCD(1, 328) = ( 1 x 328 ) / 328

GCD(1, 328) = 328 / 328

GCD(1, 328) = 1

GCD of 800, 798, 525, 328 is 1

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1. What is the GCD of 800, 798, 525, 328?

GCD of 800, 798, 525, 328 is 1

2. Where do I get the detailed procedure to find GCD of 800, 798, 525, 328?

You can find a detailed procedure to find GCD of 800, 798, 525, 328 on our page.

3. How to find GCD of 800, 798, 525, 328 on a calculator?

You can find the GCD of 800, 798, 525, 328 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.