GCD of 274, 238, 884, 114 Calculator

Given Input numbers are 274, 238, 884, 114

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 238

List of positive integer divisors of 238 that divides 238 without a remainder.

1, 2, 7, 14, 17, 34, 119, 238

Divisors of 884

List of positive integer divisors of 884 that divides 884 without a remainder.

1, 2, 4, 13, 17, 26, 34, 52, 68, 221, 442, 884

Divisors of 114

List of positive integer divisors of 114 that divides 114 without a remainder.

1, 2, 3, 6, 19, 38, 57, 114

Greatest Common Divisior

We found the divisors of 274, 238, 884, 114 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 274, 238, 884, 114 is 2.

Therefore, GCD of numbers 274, 238, 884, 114 is 2

Given Input Data is 274, 238, 884, 114

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

Prime Factorization of 274 is 2 x 137

Prime Factorization of 238 is 2 x 7 x 17

Prime Factorization of 884 is 2 x 2 x 13 x 17

Prime Factorization of 114 is 2 x 3 x 19

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, 238) = 32606

GCD(274, 238) = ( 274 x 238 ) / 32606

GCD(274, 238) = 65212 / 32606

GCD(274, 238) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 884

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

LCM(2, 884) = 884

GCD(2, 884) = ( 2 x 884 ) / 884

GCD(2, 884) = 1768 / 884

GCD(2, 884) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 114

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

LCM(2, 114) = 114

GCD(2, 114) = ( 2 x 114 ) / 114

GCD(2, 114) = 228 / 114

GCD(2, 114) = 2

GCD of 274, 238, 884, 114 is 2

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1. What is the GCD of 274, 238, 884, 114?

GCD of 274, 238, 884, 114 is 2

2. Where do I get the detailed procedure to find GCD of 274, 238, 884, 114?

You can find a detailed procedure to find GCD of 274, 238, 884, 114 on our page.

3. How to find GCD of 274, 238, 884, 114 on a calculator?

You can find the GCD of 274, 238, 884, 114 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.