GCD of 831, 329, 25, 828 Calculator

Given Input numbers are 831, 329, 25, 828

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

Divisors of 831

List of positive integer divisors of 831 that divides 831 without a remainder.

1, 3, 277, 831

Divisors of 329

List of positive integer divisors of 329 that divides 329 without a remainder.

1, 7, 47, 329

Divisors of 25

List of positive integer divisors of 25 that divides 25 without a remainder.

1, 5, 25

Divisors of 828

List of positive integer divisors of 828 that divides 828 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 23, 36, 46, 69, 92, 138, 207, 276, 414, 828

Greatest Common Divisior

We found the divisors of 831, 329, 25, 828 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 831, 329, 25, 828 is 1.

Therefore, GCD of numbers 831, 329, 25, 828 is 1

Given Input Data is 831, 329, 25, 828

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

Prime Factorization of 831 is 3 x 277

Prime Factorization of 329 is 7 x 47

Prime Factorization of 25 is 5 x 5

Prime Factorization of 828 is 2 x 2 x 3 x 3 x 23

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(831, 329) = 273399

GCD(831, 329) = ( 831 x 329 ) / 273399

GCD(831, 329) = 273399 / 273399

GCD(831, 329) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 25

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

LCM(1, 25) = 25

GCD(1, 25) = ( 1 x 25 ) / 25

GCD(1, 25) = 25 / 25

GCD(1, 25) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 828

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

LCM(1, 828) = 828

GCD(1, 828) = ( 1 x 828 ) / 828

GCD(1, 828) = 828 / 828

GCD(1, 828) = 1

GCD of 831, 329, 25, 828 is 1

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1. What is the GCD of 831, 329, 25, 828?

GCD of 831, 329, 25, 828 is 1

2. Where do I get the detailed procedure to find GCD of 831, 329, 25, 828?

You can find a detailed procedure to find GCD of 831, 329, 25, 828 on our page.

3. How to find GCD of 831, 329, 25, 828 on a calculator?

You can find the GCD of 831, 329, 25, 828 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.