GCD of 984, 135, 56 Calculator

Given Input numbers are 984, 135, 56

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

Divisors of 984

List of positive integer divisors of 984 that divides 984 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 41, 82, 123, 164, 246, 328, 492, 984

Divisors of 135

List of positive integer divisors of 135 that divides 135 without a remainder.

1, 3, 5, 9, 15, 27, 45, 135

Divisors of 56

List of positive integer divisors of 56 that divides 56 without a remainder.

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

Greatest Common Divisior

We found the divisors of 984, 135, 56 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 984, 135, 56 is 1.

Therefore, GCD of numbers 984, 135, 56 is 1

Given Input Data is 984, 135, 56

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

Prime Factorization of 984 is 2 x 2 x 2 x 3 x 41

Prime Factorization of 135 is 3 x 3 x 3 x 5

Prime Factorization of 56 is 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(984, 135) = 44280

GCD(984, 135) = ( 984 x 135 ) / 44280

GCD(984, 135) = 132840 / 44280

GCD(984, 135) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 56

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

LCM(3, 56) = 168

GCD(3, 56) = ( 3 x 56 ) / 168

GCD(3, 56) = 168 / 168

GCD(3, 56) = 1

GCD of 984, 135, 56 is 1

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1. What is the GCD of 984, 135, 56?

GCD of 984, 135, 56 is 1

2. Where do I get the detailed procedure to find GCD of 984, 135, 56?

You can find a detailed procedure to find GCD of 984, 135, 56 on our page.

3. How to find GCD of 984, 135, 56 on a calculator?

You can find the GCD of 984, 135, 56 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.