GCD of 14, 42, 31, 21 Calculator

Given Input numbers are 14, 42, 31, 21

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

Divisors of 14

List of positive integer divisors of 14 that divides 14 without a remainder.

1, 2, 7, 14

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 31

List of positive integer divisors of 31 that divides 31 without a remainder.

1, 31

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 14, 42, 31, 21 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 14, 42, 31, 21 is 1.

Therefore, GCD of numbers 14, 42, 31, 21 is 1

Given Input Data is 14, 42, 31, 21

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

Prime Factorization of 14 is 2 x 7

Prime Factorization of 42 is 2 x 3 x 7

Prime Factorization of 31 is 31

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(14, 42) = 42

GCD(14, 42) = ( 14 x 42 ) / 42

GCD(14, 42) = 588 / 42

GCD(14, 42) = 14

Step2:

Here we consider the GCD from the above i.e. 14 as first number and the next as 31

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

LCM(14, 31) = 434

GCD(14, 31) = ( 14 x 31 ) / 434

GCD(14, 31) = 434 / 434

GCD(14, 31) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 21

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

LCM(1, 21) = 21

GCD(1, 21) = ( 1 x 21 ) / 21

GCD(1, 21) = 21 / 21

GCD(1, 21) = 1

GCD of 14, 42, 31, 21 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 92, 85, 13, 83
• GCD of 74, 57, 43, 34
• GCD of 97, 93, 55, 92
• GCD of 60, 14, 55, 63
• GCD of 58, 73, 95, 38

1. What is the GCD of 14, 42, 31, 21?

GCD of 14, 42, 31, 21 is 1

2. Where do I get the detailed procedure to find GCD of 14, 42, 31, 21?

You can find a detailed procedure to find GCD of 14, 42, 31, 21 on our page.

3. How to find GCD of 14, 42, 31, 21 on a calculator?

You can find the GCD of 14, 42, 31, 21 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.