GCD of 112, 540, 18, 688 Calculator

Given Input numbers are 112, 540, 18, 688

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 18

List of positive integer divisors of 18 that divides 18 without a remainder.

1, 2, 3, 6, 9, 18

Divisors of 688

List of positive integer divisors of 688 that divides 688 without a remainder.

1, 2, 4, 8, 16, 43, 86, 172, 344, 688

Greatest Common Divisior

We found the divisors of 112, 540, 18, 688 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 112, 540, 18, 688 is 2.

Therefore, GCD of numbers 112, 540, 18, 688 is 2

Given Input Data is 112, 540, 18, 688

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 18 is 2 x 3 x 3

Prime Factorization of 688 is 2 x 2 x 2 x 2 x 43

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 18

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

LCM(4, 18) = 36

GCD(4, 18) = ( 4 x 18 ) / 36

GCD(4, 18) = 72 / 36

GCD(4, 18) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 688

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

LCM(2, 688) = 688

GCD(2, 688) = ( 2 x 688 ) / 688

GCD(2, 688) = 1376 / 688

GCD(2, 688) = 2

GCD of 112, 540, 18, 688 is 2

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• GCD of 136, 377, 17, 398
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1. What is the GCD of 112, 540, 18, 688?

GCD of 112, 540, 18, 688 is 2

2. Where do I get the detailed procedure to find GCD of 112, 540, 18, 688?

You can find a detailed procedure to find GCD of 112, 540, 18, 688 on our page.

3. How to find GCD of 112, 540, 18, 688 on a calculator?

You can find the GCD of 112, 540, 18, 688 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.