GCD of 11, 20, 74, 47 Calculator

Given Input numbers are 11, 20, 74, 47

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

Divisors of 11

List of positive integer divisors of 11 that divides 11 without a remainder.

1, 11

Divisors of 20

List of positive integer divisors of 20 that divides 20 without a remainder.

1, 2, 4, 5, 10, 20

Divisors of 74

List of positive integer divisors of 74 that divides 74 without a remainder.

1, 2, 37, 74

Divisors of 47

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

1, 47

Greatest Common Divisior

We found the divisors of 11, 20, 74, 47 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 11, 20, 74, 47 is 1.

Therefore, GCD of numbers 11, 20, 74, 47 is 1

Given Input Data is 11, 20, 74, 47

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

Prime Factorization of 11 is 11

Prime Factorization of 20 is 2 x 2 x 5

Prime Factorization of 74 is 2 x 37

Prime Factorization of 47 is 47

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(11, 20) = 220

GCD(11, 20) = ( 11 x 20 ) / 220

GCD(11, 20) = 220 / 220

GCD(11, 20) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 74

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

LCM(1, 74) = 74

GCD(1, 74) = ( 1 x 74 ) / 74

GCD(1, 74) = 74 / 74

GCD(1, 74) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 47

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

LCM(1, 47) = 47

GCD(1, 47) = ( 1 x 47 ) / 47

GCD(1, 47) = 47 / 47

GCD(1, 47) = 1

GCD of 11, 20, 74, 47 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 90, 93, 22, 56
• GCD of 33, 98, 20, 52
• GCD of 20, 74, 98, 90
• GCD of 19, 14, 24, 59
• GCD of 55, 75, 15, 83

1. What is the GCD of 11, 20, 74, 47?

GCD of 11, 20, 74, 47 is 1

2. Where do I get the detailed procedure to find GCD of 11, 20, 74, 47?

You can find a detailed procedure to find GCD of 11, 20, 74, 47 on our page.

3. How to find GCD of 11, 20, 74, 47 on a calculator?

You can find the GCD of 11, 20, 74, 47 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.