GCD of 828, 400, 31, 472 Calculator

Given Input numbers are 828, 400, 31, 472

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

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

Divisors of 400

List of positive integer divisors of 400 that divides 400 without a remainder.

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

Divisors of 31

List of positive integer divisors of 31 that divides 31 without a remainder.

1, 31

Divisors of 472

List of positive integer divisors of 472 that divides 472 without a remainder.

1, 2, 4, 8, 59, 118, 236, 472

Greatest Common Divisior

We found the divisors of 828, 400, 31, 472 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 828, 400, 31, 472 is 1.

Therefore, GCD of numbers 828, 400, 31, 472 is 1

Given Input Data is 828, 400, 31, 472

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

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

Prime Factorization of 400 is 2 x 2 x 2 x 2 x 5 x 5

Prime Factorization of 31 is 31

Prime Factorization of 472 is 2 x 2 x 2 x 59

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(828, 400) = 82800

GCD(828, 400) = ( 828 x 400 ) / 82800

GCD(828, 400) = 331200 / 82800

GCD(828, 400) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 31

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

LCM(4, 31) = 124

GCD(4, 31) = ( 4 x 31 ) / 124

GCD(4, 31) = 124 / 124

GCD(4, 31) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 472

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

LCM(1, 472) = 472

GCD(1, 472) = ( 1 x 472 ) / 472

GCD(1, 472) = 472 / 472

GCD(1, 472) = 1

GCD of 828, 400, 31, 472 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 168, 732, 30, 937
• GCD of 827, 724, 32, 527
• GCD of 425, 617, 50, 461
• GCD of 637, 121, 48, 631
• GCD of 581, 617, 45, 865

1. What is the GCD of 828, 400, 31, 472?

GCD of 828, 400, 31, 472 is 1

2. Where do I get the detailed procedure to find GCD of 828, 400, 31, 472?

You can find a detailed procedure to find GCD of 828, 400, 31, 472 on our page.

3. How to find GCD of 828, 400, 31, 472 on a calculator?

You can find the GCD of 828, 400, 31, 472 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.