GCD of 196, 539, 270, 796 Calculator

Given Input numbers are 196, 539, 270, 796

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 539

List of positive integer divisors of 539 that divides 539 without a remainder.

1, 7, 11, 49, 77, 539

Divisors of 270

List of positive integer divisors of 270 that divides 270 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 90, 135, 270

Divisors of 796

List of positive integer divisors of 796 that divides 796 without a remainder.

1, 2, 4, 199, 398, 796

Greatest Common Divisior

We found the divisors of 196, 539, 270, 796 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 196, 539, 270, 796 is 1.

Therefore, GCD of numbers 196, 539, 270, 796 is 1

Given Input Data is 196, 539, 270, 796

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 539 is 7 x 7 x 11

Prime Factorization of 270 is 2 x 3 x 3 x 3 x 5

Prime Factorization of 796 is 2 x 2 x 199

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, 539) = 2156

GCD(196, 539) = ( 196 x 539 ) / 2156

GCD(196, 539) = 105644 / 2156

GCD(196, 539) = 49

Step2:

Here we consider the GCD from the above i.e. 49 as first number and the next as 270

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

LCM(49, 270) = 13230

GCD(49, 270) = ( 49 x 270 ) / 13230

GCD(49, 270) = 13230 / 13230

GCD(49, 270) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 796

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

LCM(1, 796) = 796

GCD(1, 796) = ( 1 x 796 ) / 796

GCD(1, 796) = 796 / 796

GCD(1, 796) = 1

GCD of 196, 539, 270, 796 is 1

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1. What is the GCD of 196, 539, 270, 796?

GCD of 196, 539, 270, 796 is 1

2. Where do I get the detailed procedure to find GCD of 196, 539, 270, 796?

You can find a detailed procedure to find GCD of 196, 539, 270, 796 on our page.

3. How to find GCD of 196, 539, 270, 796 on a calculator?

You can find the GCD of 196, 539, 270, 796 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.