GCD of 334, 674, 99, 796 Calculator

Given Input numbers are 334, 674, 99, 796

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

Divisors of 334

List of positive integer divisors of 334 that divides 334 without a remainder.

1, 2, 167, 334

Divisors of 674

List of positive integer divisors of 674 that divides 674 without a remainder.

1, 2, 337, 674

Divisors of 99

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

1, 3, 9, 11, 33, 99

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 334, 674, 99, 796 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 334, 674, 99, 796 is 1.

Therefore, GCD of numbers 334, 674, 99, 796 is 1

Given Input Data is 334, 674, 99, 796

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

Prime Factorization of 334 is 2 x 167

Prime Factorization of 674 is 2 x 337

Prime Factorization of 99 is 3 x 3 x 11

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(334, 674) = 112558

GCD(334, 674) = ( 334 x 674 ) / 112558

GCD(334, 674) = 225116 / 112558

GCD(334, 674) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 99

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

LCM(2, 99) = 198

GCD(2, 99) = ( 2 x 99 ) / 198

GCD(2, 99) = 198 / 198

GCD(2, 99) = 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 334, 674, 99, 796 is 1

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1. What is the GCD of 334, 674, 99, 796?

GCD of 334, 674, 99, 796 is 1

2. Where do I get the detailed procedure to find GCD of 334, 674, 99, 796?

You can find a detailed procedure to find GCD of 334, 674, 99, 796 on our page.

3. How to find GCD of 334, 674, 99, 796 on a calculator?

You can find the GCD of 334, 674, 99, 796 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.