GCD of 42, 254, 421, 879 Calculator

Given Input numbers are 42, 254, 421, 879

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 254

List of positive integer divisors of 254 that divides 254 without a remainder.

1, 2, 127, 254

Divisors of 421

List of positive integer divisors of 421 that divides 421 without a remainder.

1, 421

Divisors of 879

List of positive integer divisors of 879 that divides 879 without a remainder.

1, 3, 293, 879

Greatest Common Divisior

We found the divisors of 42, 254, 421, 879 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 42, 254, 421, 879 is 1.

Therefore, GCD of numbers 42, 254, 421, 879 is 1

Given Input Data is 42, 254, 421, 879

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 254 is 2 x 127

Prime Factorization of 421 is 421

Prime Factorization of 879 is 3 x 293

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, 254) = 5334

GCD(42, 254) = ( 42 x 254 ) / 5334

GCD(42, 254) = 10668 / 5334

GCD(42, 254) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 421

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

LCM(2, 421) = 842

GCD(2, 421) = ( 2 x 421 ) / 842

GCD(2, 421) = 842 / 842

GCD(2, 421) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 879

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

LCM(1, 879) = 879

GCD(1, 879) = ( 1 x 879 ) / 879

GCD(1, 879) = 879 / 879

GCD(1, 879) = 1

GCD of 42, 254, 421, 879 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 37, 392, 324, 596
• GCD of 34, 929, 624, 735
• GCD of 33, 324, 121, 669
• GCD of 47, 121, 674, 304
• GCD of 98, 534, 660, 795

1. What is the GCD of 42, 254, 421, 879?

GCD of 42, 254, 421, 879 is 1

2. Where do I get the detailed procedure to find GCD of 42, 254, 421, 879?

You can find a detailed procedure to find GCD of 42, 254, 421, 879 on our page.

3. How to find GCD of 42, 254, 421, 879 on a calculator?

You can find the GCD of 42, 254, 421, 879 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.