GCD of 51, 6, 47, 21 Calculator

Given Input numbers are 51, 6, 47, 21

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

Divisors of 51

List of positive integer divisors of 51 that divides 51 without a remainder.

1, 3, 17, 51

Divisors of 6

List of positive integer divisors of 6 that divides 6 without a remainder.

1, 2, 3, 6

Divisors of 47

List of positive integer divisors of 47 that divides 47 without a remainder.

1, 47

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 51, 6, 47, 21 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 51, 6, 47, 21 is 1.

Therefore, GCD of numbers 51, 6, 47, 21 is 1

Given Input Data is 51, 6, 47, 21

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

Prime Factorization of 51 is 3 x 17

Prime Factorization of 6 is 2 x 3

Prime Factorization of 47 is 47

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(51, 6) = 102

GCD(51, 6) = ( 51 x 6 ) / 102

GCD(51, 6) = 306 / 102

GCD(51, 6) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 47

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

LCM(3, 47) = 141

GCD(3, 47) = ( 3 x 47 ) / 141

GCD(3, 47) = 141 / 141

GCD(3, 47) = 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 51, 6, 47, 21 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 30, 1, 24, 58
• GCD of 76, 7, 74, 20
• GCD of 81, 3, 47, 95
• GCD of 39, 2, 27, 85
• GCD of 62, 4, 78, 15

1. What is the GCD of 51, 6, 47, 21?

GCD of 51, 6, 47, 21 is 1

2. Where do I get the detailed procedure to find GCD of 51, 6, 47, 21?

You can find a detailed procedure to find GCD of 51, 6, 47, 21 on our page.

3. How to find GCD of 51, 6, 47, 21 on a calculator?

You can find the GCD of 51, 6, 47, 21 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.