GCD of 424, 850, 353, 306 Calculator

Given Input numbers are 424, 850, 353, 306

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

Divisors of 424

List of positive integer divisors of 424 that divides 424 without a remainder.

1, 2, 4, 8, 53, 106, 212, 424

Divisors of 850

List of positive integer divisors of 850 that divides 850 without a remainder.

1, 2, 5, 10, 17, 25, 34, 50, 85, 170, 425, 850

Divisors of 353

List of positive integer divisors of 353 that divides 353 without a remainder.

1, 353

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

Greatest Common Divisior

We found the divisors of 424, 850, 353, 306 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 424, 850, 353, 306 is 1.

Therefore, GCD of numbers 424, 850, 353, 306 is 1

Given Input Data is 424, 850, 353, 306

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

Prime Factorization of 424 is 2 x 2 x 2 x 53

Prime Factorization of 850 is 2 x 5 x 5 x 17

Prime Factorization of 353 is 353

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

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(424, 850) = 180200

GCD(424, 850) = ( 424 x 850 ) / 180200

GCD(424, 850) = 360400 / 180200

GCD(424, 850) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 353

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

LCM(2, 353) = 706

GCD(2, 353) = ( 2 x 353 ) / 706

GCD(2, 353) = 706 / 706

GCD(2, 353) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 306

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

LCM(1, 306) = 306

GCD(1, 306) = ( 1 x 306 ) / 306

GCD(1, 306) = 306 / 306

GCD(1, 306) = 1

GCD of 424, 850, 353, 306 is 1

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1. What is the GCD of 424, 850, 353, 306?

GCD of 424, 850, 353, 306 is 1

2. Where do I get the detailed procedure to find GCD of 424, 850, 353, 306?

You can find a detailed procedure to find GCD of 424, 850, 353, 306 on our page.

3. How to find GCD of 424, 850, 353, 306 on a calculator?

You can find the GCD of 424, 850, 353, 306 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.