GCD of 54, 3, 59, 49 Calculator

Given Input numbers are 54, 3, 59, 49

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 3

List of positive integer divisors of 3 that divides 3 without a remainder.

1, 3

Divisors of 59

List of positive integer divisors of 59 that divides 59 without a remainder.

1, 59

Divisors of 49

List of positive integer divisors of 49 that divides 49 without a remainder.

1, 7, 49

Greatest Common Divisior

We found the divisors of 54, 3, 59, 49 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 54, 3, 59, 49 is 1.

Therefore, GCD of numbers 54, 3, 59, 49 is 1

Given Input Data is 54, 3, 59, 49

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 3 is 3

Prime Factorization of 59 is 59

Prime Factorization of 49 is 7 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(54, 3) = 54

GCD(54, 3) = ( 54 x 3 ) / 54

GCD(54, 3) = 162 / 54

GCD(54, 3) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 59

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

LCM(3, 59) = 177

GCD(3, 59) = ( 3 x 59 ) / 177

GCD(3, 59) = 177 / 177

GCD(3, 59) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 49

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

LCM(1, 49) = 49

GCD(1, 49) = ( 1 x 49 ) / 49

GCD(1, 49) = 49 / 49

GCD(1, 49) = 1

GCD of 54, 3, 59, 49 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 60, 4, 11, 40
• GCD of 85, 9, 40, 90
• GCD of 79, 4, 17, 19
• GCD of 91, 7, 30, 31
• GCD of 96, 1, 16, 43

1. What is the GCD of 54, 3, 59, 49?

GCD of 54, 3, 59, 49 is 1

2. Where do I get the detailed procedure to find GCD of 54, 3, 59, 49?

You can find a detailed procedure to find GCD of 54, 3, 59, 49 on our page.

3. How to find GCD of 54, 3, 59, 49 on a calculator?

You can find the GCD of 54, 3, 59, 49 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.