GCD of 56, 829, 522, 224 Calculator

Given Input numbers are 56, 829, 522, 224

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

Divisors of 56

List of positive integer divisors of 56 that divides 56 without a remainder.

1, 2, 4, 7, 8, 14, 28, 56

Divisors of 829

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

1, 829

Divisors of 522

List of positive integer divisors of 522 that divides 522 without a remainder.

1, 2, 3, 6, 9, 18, 29, 58, 87, 174, 261, 522

Divisors of 224

List of positive integer divisors of 224 that divides 224 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 112, 224

Greatest Common Divisior

We found the divisors of 56, 829, 522, 224 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 56, 829, 522, 224 is 1.

Therefore, GCD of numbers 56, 829, 522, 224 is 1

Given Input Data is 56, 829, 522, 224

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

Prime Factorization of 56 is 2 x 2 x 2 x 7

Prime Factorization of 829 is 829

Prime Factorization of 522 is 2 x 3 x 3 x 29

Prime Factorization of 224 is 2 x 2 x 2 x 2 x 2 x 7

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(56, 829) = 46424

GCD(56, 829) = ( 56 x 829 ) / 46424

GCD(56, 829) = 46424 / 46424

GCD(56, 829) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 522

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

LCM(1, 522) = 522

GCD(1, 522) = ( 1 x 522 ) / 522

GCD(1, 522) = 522 / 522

GCD(1, 522) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 224

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

LCM(1, 224) = 224

GCD(1, 224) = ( 1 x 224 ) / 224

GCD(1, 224) = 224 / 224

GCD(1, 224) = 1

GCD of 56, 829, 522, 224 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 86, 715, 825, 727
• GCD of 72, 342, 454, 585
• GCD of 57, 756, 148, 821
• GCD of 83, 789, 206, 530
• GCD of 57, 968, 740, 950

1. What is the GCD of 56, 829, 522, 224?

GCD of 56, 829, 522, 224 is 1

2. Where do I get the detailed procedure to find GCD of 56, 829, 522, 224?

You can find a detailed procedure to find GCD of 56, 829, 522, 224 on our page.

3. How to find GCD of 56, 829, 522, 224 on a calculator?

You can find the GCD of 56, 829, 522, 224 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.