GCD of 39, 18, 90, 34 Calculator

Given Input numbers are 39, 18, 90, 34

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

Divisors of 39

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

1, 3, 13, 39

Divisors of 18

List of positive integer divisors of 18 that divides 18 without a remainder.

1, 2, 3, 6, 9, 18

Divisors of 90

List of positive integer divisors of 90 that divides 90 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 90

Divisors of 34

List of positive integer divisors of 34 that divides 34 without a remainder.

1, 2, 17, 34

Greatest Common Divisior

We found the divisors of 39, 18, 90, 34 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 39, 18, 90, 34 is 1.

Therefore, GCD of numbers 39, 18, 90, 34 is 1

Given Input Data is 39, 18, 90, 34

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

Prime Factorization of 39 is 3 x 13

Prime Factorization of 18 is 2 x 3 x 3

Prime Factorization of 90 is 2 x 3 x 3 x 5

Prime Factorization of 34 is 2 x 17

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(39, 18) = 234

GCD(39, 18) = ( 39 x 18 ) / 234

GCD(39, 18) = 702 / 234

GCD(39, 18) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 90

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

LCM(3, 90) = 90

GCD(3, 90) = ( 3 x 90 ) / 90

GCD(3, 90) = 270 / 90

GCD(3, 90) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 34

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

LCM(3, 34) = 102

GCD(3, 34) = ( 3 x 34 ) / 102

GCD(3, 34) = 102 / 102

GCD(3, 34) = 1

GCD of 39, 18, 90, 34 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 48, 73, 57, 45
• GCD of 69, 97, 55, 34
• GCD of 80, 76, 79, 41
• GCD of 27, 27, 23, 50
• GCD of 37, 85, 94, 40

1. What is the GCD of 39, 18, 90, 34?

GCD of 39, 18, 90, 34 is 1

2. Where do I get the detailed procedure to find GCD of 39, 18, 90, 34?

You can find a detailed procedure to find GCD of 39, 18, 90, 34 on our page.

3. How to find GCD of 39, 18, 90, 34 on a calculator?

You can find the GCD of 39, 18, 90, 34 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.