GCD of 114, 238, 528, 248 Calculator

Given Input numbers are 114, 238, 528, 248

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

Divisors of 114

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

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

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 528

List of positive integer divisors of 528 that divides 528 without a remainder.

1, 2, 3, 4, 6, 8, 11, 12, 16, 22, 24, 33, 44, 48, 66, 88, 132, 176, 264, 528

Divisors of 248

List of positive integer divisors of 248 that divides 248 without a remainder.

1, 2, 4, 8, 31, 62, 124, 248

Greatest Common Divisior

We found the divisors of 114, 238, 528, 248 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 114, 238, 528, 248 is 2.

Therefore, GCD of numbers 114, 238, 528, 248 is 2

Given Input Data is 114, 238, 528, 248

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

Prime Factorization of 114 is 2 x 3 x 19

Prime Factorization of 238 is 2 x 7 x 17

Prime Factorization of 528 is 2 x 2 x 2 x 2 x 3 x 11

Prime Factorization of 248 is 2 x 2 x 2 x 31

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(114, 238) = 13566

GCD(114, 238) = ( 114 x 238 ) / 13566

GCD(114, 238) = 27132 / 13566

GCD(114, 238) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 528

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

LCM(2, 528) = 528

GCD(2, 528) = ( 2 x 528 ) / 528

GCD(2, 528) = 1056 / 528

GCD(2, 528) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 248

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

LCM(2, 248) = 248

GCD(2, 248) = ( 2 x 248 ) / 248

GCD(2, 248) = 496 / 248

GCD(2, 248) = 2

GCD of 114, 238, 528, 248 is 2

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1. What is the GCD of 114, 238, 528, 248?

GCD of 114, 238, 528, 248 is 2

2. Where do I get the detailed procedure to find GCD of 114, 238, 528, 248?

You can find a detailed procedure to find GCD of 114, 238, 528, 248 on our page.

3. How to find GCD of 114, 238, 528, 248 on a calculator?

You can find the GCD of 114, 238, 528, 248 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.