GCD of 28, 647, 584, 112 Calculator

Given Input numbers are 28, 647, 584, 112

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

Divisors of 28

List of positive integer divisors of 28 that divides 28 without a remainder.

1, 2, 4, 7, 14, 28

Divisors of 647

List of positive integer divisors of 647 that divides 647 without a remainder.

1, 647

Divisors of 584

List of positive integer divisors of 584 that divides 584 without a remainder.

1, 2, 4, 8, 73, 146, 292, 584

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 28, 647, 584, 112 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 28, 647, 584, 112 is 1.

Therefore, GCD of numbers 28, 647, 584, 112 is 1

Given Input Data is 28, 647, 584, 112

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

Prime Factorization of 28 is 2 x 2 x 7

Prime Factorization of 647 is 647

Prime Factorization of 584 is 2 x 2 x 2 x 73

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(28, 647) = 18116

GCD(28, 647) = ( 28 x 647 ) / 18116

GCD(28, 647) = 18116 / 18116

GCD(28, 647) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 584

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

LCM(1, 584) = 584

GCD(1, 584) = ( 1 x 584 ) / 584

GCD(1, 584) = 584 / 584

GCD(1, 584) = 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 28, 647, 584, 112 is 1

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1. What is the GCD of 28, 647, 584, 112?

GCD of 28, 647, 584, 112 is 1

2. Where do I get the detailed procedure to find GCD of 28, 647, 584, 112?

You can find a detailed procedure to find GCD of 28, 647, 584, 112 on our page.

3. How to find GCD of 28, 647, 584, 112 on a calculator?

You can find the GCD of 28, 647, 584, 112 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.