GCD of 196, 391, 360 Calculator

Given Input numbers are 196, 391, 360

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 391

List of positive integer divisors of 391 that divides 391 without a remainder.

1, 17, 23, 391

Divisors of 360

List of positive integer divisors of 360 that divides 360 without a remainder.

1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 90, 120, 180, 360

Greatest Common Divisior

We found the divisors of 196, 391, 360 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 196, 391, 360 is 1.

Therefore, GCD of numbers 196, 391, 360 is 1

Given Input Data is 196, 391, 360

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 391 is 17 x 23

Prime Factorization of 360 is 2 x 2 x 2 x 3 x 3 x 5

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, 391) = 76636

GCD(196, 391) = ( 196 x 391 ) / 76636

GCD(196, 391) = 76636 / 76636

GCD(196, 391) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 360

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

LCM(1, 360) = 360

GCD(1, 360) = ( 1 x 360 ) / 360

GCD(1, 360) = 360 / 360

GCD(1, 360) = 1

GCD of 196, 391, 360 is 1

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1. What is the GCD of 196, 391, 360?

GCD of 196, 391, 360 is 1

2. Where do I get the detailed procedure to find GCD of 196, 391, 360?

You can find a detailed procedure to find GCD of 196, 391, 360 on our page.

3. How to find GCD of 196, 391, 360 on a calculator?

You can find the GCD of 196, 391, 360 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.