GCD of 306, 996, 523, 398 Calculator

Given Input numbers are 306, 996, 523, 398

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

Divisors of 306

List of positive integer divisors of 306 that divides 306 without a remainder.

1, 2, 3, 6, 9, 17, 18, 34, 51, 102, 153, 306

Divisors of 996

List of positive integer divisors of 996 that divides 996 without a remainder.

1, 2, 3, 4, 6, 12, 83, 166, 249, 332, 498, 996

Divisors of 523

List of positive integer divisors of 523 that divides 523 without a remainder.

1, 523

Divisors of 398

List of positive integer divisors of 398 that divides 398 without a remainder.

1, 2, 199, 398

Greatest Common Divisior

We found the divisors of 306, 996, 523, 398 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 306, 996, 523, 398 is 1.

Therefore, GCD of numbers 306, 996, 523, 398 is 1

Given Input Data is 306, 996, 523, 398

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

Prime Factorization of 306 is 2 x 3 x 3 x 17

Prime Factorization of 996 is 2 x 2 x 3 x 83

Prime Factorization of 523 is 523

Prime Factorization of 398 is 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(306, 996) = 50796

GCD(306, 996) = ( 306 x 996 ) / 50796

GCD(306, 996) = 304776 / 50796

GCD(306, 996) = 6

Step2:

Here we consider the GCD from the above i.e. 6 as first number and the next as 523

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

LCM(6, 523) = 3138

GCD(6, 523) = ( 6 x 523 ) / 3138

GCD(6, 523) = 3138 / 3138

GCD(6, 523) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 398

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

LCM(1, 398) = 398

GCD(1, 398) = ( 1 x 398 ) / 398

GCD(1, 398) = 398 / 398

GCD(1, 398) = 1

GCD of 306, 996, 523, 398 is 1

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• GCD of 345, 674, 518, 793
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• GCD of 121, 120, 568, 842

1. What is the GCD of 306, 996, 523, 398?

GCD of 306, 996, 523, 398 is 1

2. Where do I get the detailed procedure to find GCD of 306, 996, 523, 398?

You can find a detailed procedure to find GCD of 306, 996, 523, 398 on our page.

3. How to find GCD of 306, 996, 523, 398 on a calculator?

You can find the GCD of 306, 996, 523, 398 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.