GCD of 543, 273, 916, 112 Calculator

Given Input numbers are 543, 273, 916, 112

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

Divisors of 543

List of positive integer divisors of 543 that divides 543 without a remainder.

1, 3, 181, 543

Divisors of 273

List of positive integer divisors of 273 that divides 273 without a remainder.

1, 3, 7, 13, 21, 39, 91, 273

Divisors of 916

List of positive integer divisors of 916 that divides 916 without a remainder.

1, 2, 4, 229, 458, 916

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

Greatest Common Divisior

We found the divisors of 543, 273, 916, 112 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 543, 273, 916, 112 is 1.

Therefore, GCD of numbers 543, 273, 916, 112 is 1

Given Input Data is 543, 273, 916, 112

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

Prime Factorization of 543 is 3 x 181

Prime Factorization of 273 is 3 x 7 x 13

Prime Factorization of 916 is 2 x 2 x 229

Prime Factorization of 112 is 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(543, 273) = 49413

GCD(543, 273) = ( 543 x 273 ) / 49413

GCD(543, 273) = 148239 / 49413

GCD(543, 273) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 916

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

LCM(3, 916) = 2748

GCD(3, 916) = ( 3 x 916 ) / 2748

GCD(3, 916) = 2748 / 2748

GCD(3, 916) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 112

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

LCM(1, 112) = 112

GCD(1, 112) = ( 1 x 112 ) / 112

GCD(1, 112) = 112 / 112

GCD(1, 112) = 1

GCD of 543, 273, 916, 112 is 1

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1. What is the GCD of 543, 273, 916, 112?

GCD of 543, 273, 916, 112 is 1

2. Where do I get the detailed procedure to find GCD of 543, 273, 916, 112?

You can find a detailed procedure to find GCD of 543, 273, 916, 112 on our page.

3. How to find GCD of 543, 273, 916, 112 on a calculator?

You can find the GCD of 543, 273, 916, 112 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.