GCD of 238, 825, 278, 304 Calculator

Given Input numbers are 238, 825, 278, 304

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 825

List of positive integer divisors of 825 that divides 825 without a remainder.

1, 3, 5, 11, 15, 25, 33, 55, 75, 165, 275, 825

Divisors of 278

List of positive integer divisors of 278 that divides 278 without a remainder.

1, 2, 139, 278

Divisors of 304

List of positive integer divisors of 304 that divides 304 without a remainder.

1, 2, 4, 8, 16, 19, 38, 76, 152, 304

Greatest Common Divisior

We found the divisors of 238, 825, 278, 304 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 238, 825, 278, 304 is 1.

Therefore, GCD of numbers 238, 825, 278, 304 is 1

Given Input Data is 238, 825, 278, 304

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 825 is 3 x 5 x 5 x 11

Prime Factorization of 278 is 2 x 139

Prime Factorization of 304 is 2 x 2 x 2 x 2 x 19

The above numbers do not have any common prime factor. So GCD is 1

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, 825) = 196350

GCD(238, 825) = ( 238 x 825 ) / 196350

GCD(238, 825) = 196350 / 196350

GCD(238, 825) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 278

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

LCM(1, 278) = 278

GCD(1, 278) = ( 1 x 278 ) / 278

GCD(1, 278) = 278 / 278

GCD(1, 278) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 304

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

LCM(1, 304) = 304

GCD(1, 304) = ( 1 x 304 ) / 304

GCD(1, 304) = 304 / 304

GCD(1, 304) = 1

GCD of 238, 825, 278, 304 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 631, 877, 655, 948
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• GCD of 102, 619, 223, 767

1. What is the GCD of 238, 825, 278, 304?

GCD of 238, 825, 278, 304 is 1

2. Where do I get the detailed procedure to find GCD of 238, 825, 278, 304?

You can find a detailed procedure to find GCD of 238, 825, 278, 304 on our page.

3. How to find GCD of 238, 825, 278, 304 on a calculator?

You can find the GCD of 238, 825, 278, 304 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.