GCD of 25, 378, 248, 259 Calculator

Given Input numbers are 25, 378, 248, 259

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

Divisors of 25

List of positive integer divisors of 25 that divides 25 without a remainder.

1, 5, 25

Divisors of 378

List of positive integer divisors of 378 that divides 378 without a remainder.

1, 2, 3, 6, 7, 9, 14, 18, 21, 27, 42, 54, 63, 126, 189, 378

Divisors of 248

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

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

Divisors of 259

List of positive integer divisors of 259 that divides 259 without a remainder.

1, 7, 37, 259

Greatest Common Divisior

We found the divisors of 25, 378, 248, 259 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 25, 378, 248, 259 is 1.

Therefore, GCD of numbers 25, 378, 248, 259 is 1

Given Input Data is 25, 378, 248, 259

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

Prime Factorization of 25 is 5 x 5

Prime Factorization of 378 is 2 x 3 x 3 x 3 x 7

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

Prime Factorization of 259 is 7 x 37

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(25, 378) = 9450

GCD(25, 378) = ( 25 x 378 ) / 9450

GCD(25, 378) = 9450 / 9450

GCD(25, 378) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 248

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

LCM(1, 248) = 248

GCD(1, 248) = ( 1 x 248 ) / 248

GCD(1, 248) = 248 / 248

GCD(1, 248) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 259

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

LCM(1, 259) = 259

GCD(1, 259) = ( 1 x 259 ) / 259

GCD(1, 259) = 259 / 259

GCD(1, 259) = 1

GCD of 25, 378, 248, 259 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 24, 543, 832, 683
• GCD of 14, 903, 422, 567
• GCD of 23, 874, 458, 179
• GCD of 18, 496, 511, 310
• GCD of 16, 939, 234, 930

1. What is the GCD of 25, 378, 248, 259?

GCD of 25, 378, 248, 259 is 1

2. Where do I get the detailed procedure to find GCD of 25, 378, 248, 259?

You can find a detailed procedure to find GCD of 25, 378, 248, 259 on our page.

3. How to find GCD of 25, 378, 248, 259 on a calculator?

You can find the GCD of 25, 378, 248, 259 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.