GCD of 42, 350, 299, 633 Calculator

Given Input numbers are 42, 350, 299, 633

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

Divisors of 42

List of positive integer divisors of 42 that divides 42 without a remainder.

1, 2, 3, 6, 7, 14, 21, 42

Divisors of 350

List of positive integer divisors of 350 that divides 350 without a remainder.

1, 2, 5, 7, 10, 14, 25, 35, 50, 70, 175, 350

Divisors of 299

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

1, 13, 23, 299

Divisors of 633

List of positive integer divisors of 633 that divides 633 without a remainder.

1, 3, 211, 633

Greatest Common Divisior

We found the divisors of 42, 350, 299, 633 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 42, 350, 299, 633 is 1.

Therefore, GCD of numbers 42, 350, 299, 633 is 1

Given Input Data is 42, 350, 299, 633

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

Prime Factorization of 42 is 2 x 3 x 7

Prime Factorization of 350 is 2 x 5 x 5 x 7

Prime Factorization of 299 is 13 x 23

Prime Factorization of 633 is 3 x 211

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(42, 350) = 1050

GCD(42, 350) = ( 42 x 350 ) / 1050

GCD(42, 350) = 14700 / 1050

GCD(42, 350) = 14

Step2:

Here we consider the GCD from the above i.e. 14 as first number and the next as 299

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

LCM(14, 299) = 4186

GCD(14, 299) = ( 14 x 299 ) / 4186

GCD(14, 299) = 4186 / 4186

GCD(14, 299) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 633

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

LCM(1, 633) = 633

GCD(1, 633) = ( 1 x 633 ) / 633

GCD(1, 633) = 633 / 633

GCD(1, 633) = 1

GCD of 42, 350, 299, 633 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 96, 194, 443, 939
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• GCD of 32, 451, 574, 301
• GCD of 30, 396, 322, 623
• GCD of 17, 492, 628, 628

1. What is the GCD of 42, 350, 299, 633?

GCD of 42, 350, 299, 633 is 1

2. Where do I get the detailed procedure to find GCD of 42, 350, 299, 633?

You can find a detailed procedure to find GCD of 42, 350, 299, 633 on our page.

3. How to find GCD of 42, 350, 299, 633 on a calculator?

You can find the GCD of 42, 350, 299, 633 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.