GCD of 25, 363, 306, 914 Calculator

Given Input numbers are 25, 363, 306, 914

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 363

List of positive integer divisors of 363 that divides 363 without a remainder.

1, 3, 11, 33, 121, 363

Divisors of 306

List of positive integer divisors of 306 that divides 306 without a remainder.

1, 2, 3, 6, 9, 17, 18, 34, 51, 102, 153, 306

Divisors of 914

List of positive integer divisors of 914 that divides 914 without a remainder.

1, 2, 457, 914

Greatest Common Divisior

We found the divisors of 25, 363, 306, 914 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 25, 363, 306, 914 is 1.

Therefore, GCD of numbers 25, 363, 306, 914 is 1

Given Input Data is 25, 363, 306, 914

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

Prime Factorization of 25 is 5 x 5

Prime Factorization of 363 is 3 x 11 x 11

Prime Factorization of 306 is 2 x 3 x 3 x 17

Prime Factorization of 914 is 2 x 457

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, 363) = 9075

GCD(25, 363) = ( 25 x 363 ) / 9075

GCD(25, 363) = 9075 / 9075

GCD(25, 363) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 306

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

LCM(1, 306) = 306

GCD(1, 306) = ( 1 x 306 ) / 306

GCD(1, 306) = 306 / 306

GCD(1, 306) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 914

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

LCM(1, 914) = 914

GCD(1, 914) = ( 1 x 914 ) / 914

GCD(1, 914) = 914 / 914

GCD(1, 914) = 1

GCD of 25, 363, 306, 914 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 44, 503, 521, 664
• GCD of 29, 582, 373, 115
• GCD of 17, 892, 507, 391
• GCD of 99, 639, 510, 334
• GCD of 79, 241, 922, 581

1. What is the GCD of 25, 363, 306, 914?

GCD of 25, 363, 306, 914 is 1

2. Where do I get the detailed procedure to find GCD of 25, 363, 306, 914?

You can find a detailed procedure to find GCD of 25, 363, 306, 914 on our page.

3. How to find GCD of 25, 363, 306, 914 on a calculator?

You can find the GCD of 25, 363, 306, 914 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.