GCD of 196, 764, 99, 446 Calculator

Given Input numbers are 196, 764, 99, 446

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 764

List of positive integer divisors of 764 that divides 764 without a remainder.

1, 2, 4, 191, 382, 764

Divisors of 99

List of positive integer divisors of 99 that divides 99 without a remainder.

1, 3, 9, 11, 33, 99

Divisors of 446

List of positive integer divisors of 446 that divides 446 without a remainder.

1, 2, 223, 446

Greatest Common Divisior

We found the divisors of 196, 764, 99, 446 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 196, 764, 99, 446 is 1.

Therefore, GCD of numbers 196, 764, 99, 446 is 1

Given Input Data is 196, 764, 99, 446

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 764 is 2 x 2 x 191

Prime Factorization of 99 is 3 x 3 x 11

Prime Factorization of 446 is 2 x 223

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, 764) = 37436

GCD(196, 764) = ( 196 x 764 ) / 37436

GCD(196, 764) = 149744 / 37436

GCD(196, 764) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 99

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

LCM(4, 99) = 396

GCD(4, 99) = ( 4 x 99 ) / 396

GCD(4, 99) = 396 / 396

GCD(4, 99) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 446

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

LCM(1, 446) = 446

GCD(1, 446) = ( 1 x 446 ) / 446

GCD(1, 446) = 446 / 446

GCD(1, 446) = 1

GCD of 196, 764, 99, 446 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 447, 325, 24, 774
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• GCD of 857, 374, 15, 140

1. What is the GCD of 196, 764, 99, 446?

GCD of 196, 764, 99, 446 is 1

2. Where do I get the detailed procedure to find GCD of 196, 764, 99, 446?

You can find a detailed procedure to find GCD of 196, 764, 99, 446 on our page.

3. How to find GCD of 196, 764, 99, 446 on a calculator?

You can find the GCD of 196, 764, 99, 446 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.