GCD of 54, 66, 92, 47 Calculator

Given Input numbers are 54, 66, 92, 47

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

Divisors of 54

List of positive integer divisors of 54 that divides 54 without a remainder.

1, 2, 3, 6, 9, 18, 27, 54

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 92

List of positive integer divisors of 92 that divides 92 without a remainder.

1, 2, 4, 23, 46, 92

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 54, 66, 92, 47 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 54, 66, 92, 47 is 1.

Therefore, GCD of numbers 54, 66, 92, 47 is 1

Given Input Data is 54, 66, 92, 47

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

Prime Factorization of 54 is 2 x 3 x 3 x 3

Prime Factorization of 66 is 2 x 3 x 11

Prime Factorization of 92 is 2 x 2 x 23

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(54, 66) = 594

GCD(54, 66) = ( 54 x 66 ) / 594

GCD(54, 66) = 3564 / 594

GCD(54, 66) = 6

Step2:

Here we consider the GCD from the above i.e. 6 as first number and the next as 92

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

LCM(6, 92) = 276

GCD(6, 92) = ( 6 x 92 ) / 276

GCD(6, 92) = 552 / 276

GCD(6, 92) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 47

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

LCM(2, 47) = 94

GCD(2, 47) = ( 2 x 47 ) / 94

GCD(2, 47) = 94 / 94

GCD(2, 47) = 1

GCD of 54, 66, 92, 47 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 19, 98, 93, 69
• GCD of 44, 31, 41, 99
• GCD of 51, 89, 11, 15
• GCD of 64, 90, 11, 71
• GCD of 47, 99, 81, 14

1. What is the GCD of 54, 66, 92, 47?

GCD of 54, 66, 92, 47 is 1

2. Where do I get the detailed procedure to find GCD of 54, 66, 92, 47?

You can find a detailed procedure to find GCD of 54, 66, 92, 47 on our page.

3. How to find GCD of 54, 66, 92, 47 on a calculator?

You can find the GCD of 54, 66, 92, 47 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.