GCD of 196, 318, 25, 243 Calculator

Given Input numbers are 196, 318, 25, 243

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

Divisors of 196

List of positive integer divisors of 196 that divides 196 without a remainder.

1, 2, 4, 7, 14, 28, 49, 98, 196

Divisors of 318

List of positive integer divisors of 318 that divides 318 without a remainder.

1, 2, 3, 6, 53, 106, 159, 318

Divisors of 25

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

1, 5, 25

Divisors of 243

List of positive integer divisors of 243 that divides 243 without a remainder.

1, 3, 9, 27, 81, 243

Greatest Common Divisior

We found the divisors of 196, 318, 25, 243 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 196, 318, 25, 243 is 1.

Therefore, GCD of numbers 196, 318, 25, 243 is 1

Given Input Data is 196, 318, 25, 243

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

Prime Factorization of 196 is 2 x 2 x 7 x 7

Prime Factorization of 318 is 2 x 3 x 53

Prime Factorization of 25 is 5 x 5

Prime Factorization of 243 is 3 x 3 x 3 x 3 x 3

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(196, 318) = 31164

GCD(196, 318) = ( 196 x 318 ) / 31164

GCD(196, 318) = 62328 / 31164

GCD(196, 318) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 25

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

LCM(2, 25) = 50

GCD(2, 25) = ( 2 x 25 ) / 50

GCD(2, 25) = 50 / 50

GCD(2, 25) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 243

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

LCM(1, 243) = 243

GCD(1, 243) = ( 1 x 243 ) / 243

GCD(1, 243) = 243 / 243

GCD(1, 243) = 1

GCD of 196, 318, 25, 243 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 656, 739, 87, 520
• GCD of 589, 545, 25, 769
• GCD of 229, 525, 28, 674
• GCD of 278, 785, 12, 727
• GCD of 714, 568, 90, 617

1. What is the GCD of 196, 318, 25, 243?

GCD of 196, 318, 25, 243 is 1

2. Where do I get the detailed procedure to find GCD of 196, 318, 25, 243?

You can find a detailed procedure to find GCD of 196, 318, 25, 243 on our page.

3. How to find GCD of 196, 318, 25, 243 on a calculator?

You can find the GCD of 196, 318, 25, 243 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.