GCD of 152, 986, 184 Calculator

Given Input numbers are 152, 986, 184

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

Divisors of 152

List of positive integer divisors of 152 that divides 152 without a remainder.

1, 2, 4, 8, 19, 38, 76, 152

Divisors of 986

List of positive integer divisors of 986 that divides 986 without a remainder.

1, 2, 17, 29, 34, 58, 493, 986

Divisors of 184

List of positive integer divisors of 184 that divides 184 without a remainder.

1, 2, 4, 8, 23, 46, 92, 184

Greatest Common Divisior

We found the divisors of 152, 986, 184 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 152, 986, 184 is 2.

Therefore, GCD of numbers 152, 986, 184 is 2

Given Input Data is 152, 986, 184

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

Prime Factorization of 152 is 2 x 2 x 2 x 19

Prime Factorization of 986 is 2 x 17 x 29

Prime Factorization of 184 is 2 x 2 x 2 x 23

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(152, 986) = 74936

GCD(152, 986) = ( 152 x 986 ) / 74936

GCD(152, 986) = 149872 / 74936

GCD(152, 986) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 184

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

LCM(2, 184) = 184

GCD(2, 184) = ( 2 x 184 ) / 184

GCD(2, 184) = 368 / 184

GCD(2, 184) = 2

GCD of 152, 986, 184 is 2

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1. What is the GCD of 152, 986, 184?

GCD of 152, 986, 184 is 2

2. Where do I get the detailed procedure to find GCD of 152, 986, 184?

You can find a detailed procedure to find GCD of 152, 986, 184 on our page.

3. How to find GCD of 152, 986, 184 on a calculator?

You can find the GCD of 152, 986, 184 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.