GCD of 299, 424, 874, 505 Calculator

Given Input numbers are 299, 424, 874, 505

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

Divisors of 299

List of positive integer divisors of 299 that divides 299 without a remainder.

1, 13, 23, 299

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 874

List of positive integer divisors of 874 that divides 874 without a remainder.

1, 2, 19, 23, 38, 46, 437, 874

Divisors of 505

List of positive integer divisors of 505 that divides 505 without a remainder.

1, 5, 101, 505

Greatest Common Divisior

We found the divisors of 299, 424, 874, 505 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 299, 424, 874, 505 is 1.

Therefore, GCD of numbers 299, 424, 874, 505 is 1

Given Input Data is 299, 424, 874, 505

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

Prime Factorization of 299 is 13 x 23

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

Prime Factorization of 874 is 2 x 19 x 23

Prime Factorization of 505 is 5 x 101

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(299, 424) = 126776

GCD(299, 424) = ( 299 x 424 ) / 126776

GCD(299, 424) = 126776 / 126776

GCD(299, 424) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 874

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

LCM(1, 874) = 874

GCD(1, 874) = ( 1 x 874 ) / 874

GCD(1, 874) = 874 / 874

GCD(1, 874) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 505

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

LCM(1, 505) = 505

GCD(1, 505) = ( 1 x 505 ) / 505

GCD(1, 505) = 505 / 505

GCD(1, 505) = 1

GCD of 299, 424, 874, 505 is 1

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1. What is the GCD of 299, 424, 874, 505?

GCD of 299, 424, 874, 505 is 1

2. Where do I get the detailed procedure to find GCD of 299, 424, 874, 505?

You can find a detailed procedure to find GCD of 299, 424, 874, 505 on our page.

3. How to find GCD of 299, 424, 874, 505 on a calculator?

You can find the GCD of 299, 424, 874, 505 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.