GCD of 42, 500, 929, 279 Calculator

Given Input numbers are 42, 500, 929, 279

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 500

List of positive integer divisors of 500 that divides 500 without a remainder.

1, 2, 4, 5, 10, 20, 25, 50, 100, 125, 250, 500

Divisors of 929

List of positive integer divisors of 929 that divides 929 without a remainder.

1, 929

Divisors of 279

List of positive integer divisors of 279 that divides 279 without a remainder.

1, 3, 9, 31, 93, 279

Greatest Common Divisior

We found the divisors of 42, 500, 929, 279 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 42, 500, 929, 279 is 1.

Therefore, GCD of numbers 42, 500, 929, 279 is 1

Given Input Data is 42, 500, 929, 279

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 500 is 2 x 2 x 5 x 5 x 5

Prime Factorization of 929 is 929

Prime Factorization of 279 is 3 x 3 x 31

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, 500) = 10500

GCD(42, 500) = ( 42 x 500 ) / 10500

GCD(42, 500) = 21000 / 10500

GCD(42, 500) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 929

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

LCM(2, 929) = 1858

GCD(2, 929) = ( 2 x 929 ) / 1858

GCD(2, 929) = 1858 / 1858

GCD(2, 929) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 279

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

LCM(1, 279) = 279

GCD(1, 279) = ( 1 x 279 ) / 279

GCD(1, 279) = 279 / 279

GCD(1, 279) = 1

GCD of 42, 500, 929, 279 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 13, 205, 430, 441
• GCD of 34, 675, 314, 317
• GCD of 46, 552, 854, 388
• GCD of 70, 752, 599, 679
• GCD of 73, 464, 522, 650

1. What is the GCD of 42, 500, 929, 279?

GCD of 42, 500, 929, 279 is 1

2. Where do I get the detailed procedure to find GCD of 42, 500, 929, 279?

You can find a detailed procedure to find GCD of 42, 500, 929, 279 on our page.

3. How to find GCD of 42, 500, 929, 279 on a calculator?

You can find the GCD of 42, 500, 929, 279 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.