GCD of 196, 616, 20, 311 Calculator

Given Input numbers are 196, 616, 20, 311

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 616

List of positive integer divisors of 616 that divides 616 without a remainder.

1, 2, 4, 7, 8, 11, 14, 22, 28, 44, 56, 77, 88, 154, 308, 616

Divisors of 20

List of positive integer divisors of 20 that divides 20 without a remainder.

1, 2, 4, 5, 10, 20

Divisors of 311

List of positive integer divisors of 311 that divides 311 without a remainder.

1, 311

Greatest Common Divisior

We found the divisors of 196, 616, 20, 311 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 196, 616, 20, 311 is 1.

Therefore, GCD of numbers 196, 616, 20, 311 is 1

Given Input Data is 196, 616, 20, 311

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 616 is 2 x 2 x 2 x 7 x 11

Prime Factorization of 20 is 2 x 2 x 5

Prime Factorization of 311 is 311

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, 616) = 4312

GCD(196, 616) = ( 196 x 616 ) / 4312

GCD(196, 616) = 120736 / 4312

GCD(196, 616) = 28

Step2:

Here we consider the GCD from the above i.e. 28 as first number and the next as 20

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

LCM(28, 20) = 140

GCD(28, 20) = ( 28 x 20 ) / 140

GCD(28, 20) = 560 / 140

GCD(28, 20) = 4

Step3:

Here we consider the GCD from the above i.e. 4 as first number and the next as 311

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

LCM(4, 311) = 1244

GCD(4, 311) = ( 4 x 311 ) / 1244

GCD(4, 311) = 1244 / 1244

GCD(4, 311) = 1

GCD of 196, 616, 20, 311 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 452, 405, 68, 262
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• GCD of 773, 440, 48, 307
• GCD of 608, 822, 46, 150
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1. What is the GCD of 196, 616, 20, 311?

GCD of 196, 616, 20, 311 is 1

2. Where do I get the detailed procedure to find GCD of 196, 616, 20, 311?

You can find a detailed procedure to find GCD of 196, 616, 20, 311 on our page.

3. How to find GCD of 196, 616, 20, 311 on a calculator?

You can find the GCD of 196, 616, 20, 311 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.