GCD of 19, 55, 39, 49 Calculator

Given Input numbers are 19, 55, 39, 49

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

Divisors of 19

List of positive integer divisors of 19 that divides 19 without a remainder.

1, 19

Divisors of 55

List of positive integer divisors of 55 that divides 55 without a remainder.

1, 5, 11, 55

Divisors of 39

List of positive integer divisors of 39 that divides 39 without a remainder.

1, 3, 13, 39

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 19, 55, 39, 49 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 19, 55, 39, 49 is 1.

Therefore, GCD of numbers 19, 55, 39, 49 is 1

Given Input Data is 19, 55, 39, 49

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

Prime Factorization of 19 is 19

Prime Factorization of 55 is 5 x 11

Prime Factorization of 39 is 3 x 13

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(19, 55) = 1045

GCD(19, 55) = ( 19 x 55 ) / 1045

GCD(19, 55) = 1045 / 1045

GCD(19, 55) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 39

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

LCM(1, 39) = 39

GCD(1, 39) = ( 1 x 39 ) / 39

GCD(1, 39) = 39 / 39

GCD(1, 39) = 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 19, 55, 39, 49 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 55, 22, 40, 16
• GCD of 55, 67, 13, 20
• GCD of 75, 42, 91, 86
• GCD of 25, 52, 41, 62
• GCD of 63, 47, 29, 55

1. What is the GCD of 19, 55, 39, 49?

GCD of 19, 55, 39, 49 is 1

2. Where do I get the detailed procedure to find GCD of 19, 55, 39, 49?

You can find a detailed procedure to find GCD of 19, 55, 39, 49 on our page.

3. How to find GCD of 19, 55, 39, 49 on a calculator?

You can find the GCD of 19, 55, 39, 49 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.