GCD of 238, 878, 14, 704 Calculator

Given Input numbers are 238, 878, 14, 704

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

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 878

List of positive integer divisors of 878 that divides 878 without a remainder.

1, 2, 439, 878

Divisors of 14

List of positive integer divisors of 14 that divides 14 without a remainder.

1, 2, 7, 14

Divisors of 704

List of positive integer divisors of 704 that divides 704 without a remainder.

1, 2, 4, 8, 11, 16, 22, 32, 44, 64, 88, 176, 352, 704

Greatest Common Divisior

We found the divisors of 238, 878, 14, 704 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 238, 878, 14, 704 is 2.

Therefore, GCD of numbers 238, 878, 14, 704 is 2

Given Input Data is 238, 878, 14, 704

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

Prime Factorization of 238 is 2 x 7 x 17

Prime Factorization of 878 is 2 x 439

Prime Factorization of 14 is 2 x 7

Prime Factorization of 704 is 2 x 2 x 2 x 2 x 2 x 2 x 11

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(238, 878) = 104482

GCD(238, 878) = ( 238 x 878 ) / 104482

GCD(238, 878) = 208964 / 104482

GCD(238, 878) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 14

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

LCM(2, 14) = 14

GCD(2, 14) = ( 2 x 14 ) / 14

GCD(2, 14) = 28 / 14

GCD(2, 14) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 704

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

LCM(2, 704) = 704

GCD(2, 704) = ( 2 x 704 ) / 704

GCD(2, 704) = 1408 / 704

GCD(2, 704) = 2

GCD of 238, 878, 14, 704 is 2

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1. What is the GCD of 238, 878, 14, 704?

GCD of 238, 878, 14, 704 is 2

2. Where do I get the detailed procedure to find GCD of 238, 878, 14, 704?

You can find a detailed procedure to find GCD of 238, 878, 14, 704 on our page.

3. How to find GCD of 238, 878, 14, 704 on a calculator?

You can find the GCD of 238, 878, 14, 704 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.