GCD of 242, 316, 628, 184 Calculator

Given Input numbers are 242, 316, 628, 184

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

Divisors of 242

List of positive integer divisors of 242 that divides 242 without a remainder.

1, 2, 11, 22, 121, 242

Divisors of 316

List of positive integer divisors of 316 that divides 316 without a remainder.

1, 2, 4, 79, 158, 316

Divisors of 628

List of positive integer divisors of 628 that divides 628 without a remainder.

1, 2, 4, 157, 314, 628

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 242, 316, 628, 184 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 242, 316, 628, 184 is 2.

Therefore, GCD of numbers 242, 316, 628, 184 is 2

Given Input Data is 242, 316, 628, 184

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

Prime Factorization of 242 is 2 x 11 x 11

Prime Factorization of 316 is 2 x 2 x 79

Prime Factorization of 628 is 2 x 2 x 157

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(242, 316) = 38236

GCD(242, 316) = ( 242 x 316 ) / 38236

GCD(242, 316) = 76472 / 38236

GCD(242, 316) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 628

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

LCM(2, 628) = 628

GCD(2, 628) = ( 2 x 628 ) / 628

GCD(2, 628) = 1256 / 628

GCD(2, 628) = 2

Step3:

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 242, 316, 628, 184 is 2

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1. What is the GCD of 242, 316, 628, 184?

GCD of 242, 316, 628, 184 is 2

2. Where do I get the detailed procedure to find GCD of 242, 316, 628, 184?

You can find a detailed procedure to find GCD of 242, 316, 628, 184 on our page.

3. How to find GCD of 242, 316, 628, 184 on a calculator?

You can find the GCD of 242, 316, 628, 184 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.