GCD of 486, 674, 96, 199 Calculator

Given Input numbers are 486, 674, 96, 199

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

Divisors of 486

List of positive integer divisors of 486 that divides 486 without a remainder.

1, 2, 3, 6, 9, 18, 27, 54, 81, 162, 243, 486

Divisors of 674

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

1, 2, 337, 674

Divisors of 96

List of positive integer divisors of 96 that divides 96 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 96

Divisors of 199

List of positive integer divisors of 199 that divides 199 without a remainder.

1, 199

Greatest Common Divisior

We found the divisors of 486, 674, 96, 199 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 486, 674, 96, 199 is 1.

Therefore, GCD of numbers 486, 674, 96, 199 is 1

Given Input Data is 486, 674, 96, 199

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

Prime Factorization of 486 is 2 x 3 x 3 x 3 x 3 x 3

Prime Factorization of 674 is 2 x 337

Prime Factorization of 96 is 2 x 2 x 2 x 2 x 2 x 3

Prime Factorization of 199 is 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(486, 674) = 163782

GCD(486, 674) = ( 486 x 674 ) / 163782

GCD(486, 674) = 327564 / 163782

GCD(486, 674) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 96

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

LCM(2, 96) = 96

GCD(2, 96) = ( 2 x 96 ) / 96

GCD(2, 96) = 192 / 96

GCD(2, 96) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 199

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

LCM(2, 199) = 398

GCD(2, 199) = ( 2 x 199 ) / 398

GCD(2, 199) = 398 / 398

GCD(2, 199) = 1

GCD of 486, 674, 96, 199 is 1

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1. What is the GCD of 486, 674, 96, 199?

GCD of 486, 674, 96, 199 is 1

2. Where do I get the detailed procedure to find GCD of 486, 674, 96, 199?

You can find a detailed procedure to find GCD of 486, 674, 96, 199 on our page.

3. How to find GCD of 486, 674, 96, 199 on a calculator?

You can find the GCD of 486, 674, 96, 199 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.