GCD of 824, 224, 42, 537 Calculator

Given Input numbers are 824, 224, 42, 537

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

Divisors of 824

List of positive integer divisors of 824 that divides 824 without a remainder.

1, 2, 4, 8, 103, 206, 412, 824

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

Divisors of 42

List of positive integer divisors of 42 that divides 42 without a remainder.

1, 2, 3, 6, 7, 14, 21, 42

Divisors of 537

List of positive integer divisors of 537 that divides 537 without a remainder.

1, 3, 179, 537

Greatest Common Divisior

We found the divisors of 824, 224, 42, 537 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 824, 224, 42, 537 is 1.

Therefore, GCD of numbers 824, 224, 42, 537 is 1

Given Input Data is 824, 224, 42, 537

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

Prime Factorization of 824 is 2 x 2 x 2 x 103

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

Prime Factorization of 42 is 2 x 3 x 7

Prime Factorization of 537 is 3 x 179

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(824, 224) = 23072

GCD(824, 224) = ( 824 x 224 ) / 23072

GCD(824, 224) = 184576 / 23072

GCD(824, 224) = 8

Step2:

Here we consider the GCD from the above i.e. 8 as first number and the next as 42

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

LCM(8, 42) = 168

GCD(8, 42) = ( 8 x 42 ) / 168

GCD(8, 42) = 336 / 168

GCD(8, 42) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 537

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

LCM(2, 537) = 1074

GCD(2, 537) = ( 2 x 537 ) / 1074

GCD(2, 537) = 1074 / 1074

GCD(2, 537) = 1

GCD of 824, 224, 42, 537 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 189, 140, 20, 523
• GCD of 270, 805, 74, 678
• GCD of 172, 801, 11, 235
• GCD of 248, 643, 70, 749
• GCD of 906, 184, 81, 730

1. What is the GCD of 824, 224, 42, 537?

GCD of 824, 224, 42, 537 is 1

2. Where do I get the detailed procedure to find GCD of 824, 224, 42, 537?

You can find a detailed procedure to find GCD of 824, 224, 42, 537 on our page.

3. How to find GCD of 824, 224, 42, 537 on a calculator?

You can find the GCD of 824, 224, 42, 537 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.