GCD of 34, 90, 50, 89 Calculator

Given Input numbers are 34, 90, 50, 89

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

Divisors of 34

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

1, 2, 17, 34

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 50

List of positive integer divisors of 50 that divides 50 without a remainder.

1, 2, 5, 10, 25, 50

Divisors of 89

List of positive integer divisors of 89 that divides 89 without a remainder.

1, 89

Greatest Common Divisior

We found the divisors of 34, 90, 50, 89 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 34, 90, 50, 89 is 1.

Therefore, GCD of numbers 34, 90, 50, 89 is 1

Given Input Data is 34, 90, 50, 89

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

Prime Factorization of 34 is 2 x 17

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

Prime Factorization of 50 is 2 x 5 x 5

Prime Factorization of 89 is 89

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(34, 90) = 1530

GCD(34, 90) = ( 34 x 90 ) / 1530

GCD(34, 90) = 3060 / 1530

GCD(34, 90) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 50

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

LCM(2, 50) = 50

GCD(2, 50) = ( 2 x 50 ) / 50

GCD(2, 50) = 100 / 50

GCD(2, 50) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 89

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

LCM(2, 89) = 178

GCD(2, 89) = ( 2 x 89 ) / 178

GCD(2, 89) = 178 / 178

GCD(2, 89) = 1

GCD of 34, 90, 50, 89 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 49, 48, 86, 14
• GCD of 52, 12, 94, 40
• GCD of 43, 44, 60, 84
• GCD of 51, 62, 37, 50
• GCD of 59, 62, 60, 66

1. What is the GCD of 34, 90, 50, 89?

GCD of 34, 90, 50, 89 is 1

2. Where do I get the detailed procedure to find GCD of 34, 90, 50, 89?

You can find a detailed procedure to find GCD of 34, 90, 50, 89 on our page.

3. How to find GCD of 34, 90, 50, 89 on a calculator?

You can find the GCD of 34, 90, 50, 89 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.