GCD of 112, 540, 15, 488 Calculator

Given Input numbers are 112, 540, 15, 488

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 15

List of positive integer divisors of 15 that divides 15 without a remainder.

1, 3, 5, 15

Divisors of 488

List of positive integer divisors of 488 that divides 488 without a remainder.

1, 2, 4, 8, 61, 122, 244, 488

Greatest Common Divisior

We found the divisors of 112, 540, 15, 488 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 112, 540, 15, 488 is 1.

Therefore, GCD of numbers 112, 540, 15, 488 is 1

Given Input Data is 112, 540, 15, 488

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 15 is 3 x 5

Prime Factorization of 488 is 2 x 2 x 2 x 61

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(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 15

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

LCM(4, 15) = 60

GCD(4, 15) = ( 4 x 15 ) / 60

GCD(4, 15) = 60 / 60

GCD(4, 15) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 488

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

LCM(1, 488) = 488

GCD(1, 488) = ( 1 x 488 ) / 488

GCD(1, 488) = 488 / 488

GCD(1, 488) = 1

GCD of 112, 540, 15, 488 is 1

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• GCD of 871, 754, 83, 208
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• GCD of 657, 769, 10, 625

1. What is the GCD of 112, 540, 15, 488?

GCD of 112, 540, 15, 488 is 1

2. Where do I get the detailed procedure to find GCD of 112, 540, 15, 488?

You can find a detailed procedure to find GCD of 112, 540, 15, 488 on our page.

3. How to find GCD of 112, 540, 15, 488 on a calculator?

You can find the GCD of 112, 540, 15, 488 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.