GCD of 42, 50, 21 Calculator

Given Input numbers are 42, 50, 21

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 50

List of positive integer divisors of 50 that divides 50 without a remainder.

1, 2, 5, 10, 25, 50

Divisors of 21

List of positive integer divisors of 21 that divides 21 without a remainder.

1, 3, 7, 21

Greatest Common Divisior

We found the divisors of 42, 50, 21 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 42, 50, 21 is 1.

Therefore, GCD of numbers 42, 50, 21 is 1

Given Input Data is 42, 50, 21

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 50 is 2 x 5 x 5

Prime Factorization of 21 is 3 x 7

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, 50) = 1050

GCD(42, 50) = ( 42 x 50 ) / 1050

GCD(42, 50) = 2100 / 1050

GCD(42, 50) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 21

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

LCM(2, 21) = 42

GCD(2, 21) = ( 2 x 21 ) / 42

GCD(2, 21) = 42 / 42

GCD(2, 21) = 1

GCD of 42, 50, 21 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 42, 81, 49
• GCD of 13, 83, 50
• GCD of 57, 82, 32
• GCD of 30, 98, 89
• GCD of 53, 43, 66

1. What is the GCD of 42, 50, 21?

GCD of 42, 50, 21 is 1

2. Where do I get the detailed procedure to find GCD of 42, 50, 21?

You can find a detailed procedure to find GCD of 42, 50, 21 on our page.

3. How to find GCD of 42, 50, 21 on a calculator?

You can find the GCD of 42, 50, 21 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.