GCD of 112, 540, 24, 406 Calculator

Given Input numbers are 112, 540, 24, 406

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

Divisors of 112

List of positive integer divisors of 112 that divides 112 without a remainder.

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

Divisors of 540

List of positive integer divisors of 540 that divides 540 without a remainder.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 27, 30, 36, 45, 54, 60, 90, 108, 135, 180, 270, 540

Divisors of 24

List of positive integer divisors of 24 that divides 24 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24

Divisors of 406

List of positive integer divisors of 406 that divides 406 without a remainder.

1, 2, 7, 14, 29, 58, 203, 406

Greatest Common Divisior

We found the divisors of 112, 540, 24, 406 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 112, 540, 24, 406 is 2.

Therefore, GCD of numbers 112, 540, 24, 406 is 2

Given Input Data is 112, 540, 24, 406

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

Prime Factorization of 112 is 2 x 2 x 2 x 2 x 7

Prime Factorization of 540 is 2 x 2 x 3 x 3 x 3 x 5

Prime Factorization of 24 is 2 x 2 x 2 x 3

Prime Factorization of 406 is 2 x 7 x 29

Highest common occurrences in the given inputs are 2¹

Multiplying them we get the GCD as 2

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(112, 540) = 15120

GCD(112, 540) = ( 112 x 540 ) / 15120

GCD(112, 540) = 60480 / 15120

GCD(112, 540) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 24

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

LCM(4, 24) = 24

GCD(4, 24) = ( 4 x 24 ) / 24

GCD(4, 24) = 96 / 24

GCD(4, 24) = 4

Step3:

Here we consider the GCD from the above i.e. 4 as first number and the next as 406

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

LCM(4, 406) = 812

GCD(4, 406) = ( 4 x 406 ) / 812

GCD(4, 406) = 1624 / 812

GCD(4, 406) = 2

GCD of 112, 540, 24, 406 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 396, 590, 10, 902
• GCD of 697, 515, 33, 218
• GCD of 755, 591, 93, 140
• GCD of 238, 154, 61, 834
• GCD of 666, 606, 60, 799

1. What is the GCD of 112, 540, 24, 406?

GCD of 112, 540, 24, 406 is 2

2. Where do I get the detailed procedure to find GCD of 112, 540, 24, 406?

You can find a detailed procedure to find GCD of 112, 540, 24, 406 on our page.

3. How to find GCD of 112, 540, 24, 406 on a calculator?

You can find the GCD of 112, 540, 24, 406 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.