GCD of 274, 188, 110, 184 Calculator

Given Input numbers are 274, 188, 110, 184

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

Divisors of 274

List of positive integer divisors of 274 that divides 274 without a remainder.

1, 2, 137, 274

Divisors of 188

List of positive integer divisors of 188 that divides 188 without a remainder.

1, 2, 4, 47, 94, 188

Divisors of 110

List of positive integer divisors of 110 that divides 110 without a remainder.

1, 2, 5, 10, 11, 22, 55, 110

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 274, 188, 110, 184 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 274, 188, 110, 184 is 2.

Therefore, GCD of numbers 274, 188, 110, 184 is 2

Given Input Data is 274, 188, 110, 184

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

Prime Factorization of 274 is 2 x 137

Prime Factorization of 188 is 2 x 2 x 47

Prime Factorization of 110 is 2 x 5 x 11

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(274, 188) = 25756

GCD(274, 188) = ( 274 x 188 ) / 25756

GCD(274, 188) = 51512 / 25756

GCD(274, 188) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 110

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

LCM(2, 110) = 110

GCD(2, 110) = ( 2 x 110 ) / 110

GCD(2, 110) = 220 / 110

GCD(2, 110) = 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 274, 188, 110, 184 is 2

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1. What is the GCD of 274, 188, 110, 184?

GCD of 274, 188, 110, 184 is 2

2. Where do I get the detailed procedure to find GCD of 274, 188, 110, 184?

You can find a detailed procedure to find GCD of 274, 188, 110, 184 on our page.

3. How to find GCD of 274, 188, 110, 184 on a calculator?

You can find the GCD of 274, 188, 110, 184 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.