GCD of 47, 53, 66, 21 Calculator

Given Input numbers are 47, 53, 66, 21

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

Divisors of 47

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

1, 47

Divisors of 53

List of positive integer divisors of 53 that divides 53 without a remainder.

1, 53

Divisors of 66

List of positive integer divisors of 66 that divides 66 without a remainder.

1, 2, 3, 6, 11, 22, 33, 66

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 47, 53, 66, 21 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 47, 53, 66, 21 is 1.

Therefore, GCD of numbers 47, 53, 66, 21 is 1

Given Input Data is 47, 53, 66, 21

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

Prime Factorization of 47 is 47

Prime Factorization of 53 is 53

Prime Factorization of 66 is 2 x 3 x 11

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(47, 53) = 2491

GCD(47, 53) = ( 47 x 53 ) / 2491

GCD(47, 53) = 2491 / 2491

GCD(47, 53) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 66

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

LCM(1, 66) = 66

GCD(1, 66) = ( 1 x 66 ) / 66

GCD(1, 66) = 66 / 66

GCD(1, 66) = 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 47, 53, 66, 21 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 82, 39, 86, 47
• GCD of 97, 35, 25, 48
• GCD of 74, 61, 36, 96
• GCD of 48, 90, 25, 58
• GCD of 38, 31, 86, 82

1. What is the GCD of 47, 53, 66, 21?

GCD of 47, 53, 66, 21 is 1

2. Where do I get the detailed procedure to find GCD of 47, 53, 66, 21?

You can find a detailed procedure to find GCD of 47, 53, 66, 21 on our page.

3. How to find GCD of 47, 53, 66, 21 on a calculator?

You can find the GCD of 47, 53, 66, 21 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.