GCD of 50, 45, 82, 17 Calculator

Given Input numbers are 50, 45, 82, 17

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

Divisors of 50

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

1, 2, 5, 10, 25, 50

Divisors of 45

List of positive integer divisors of 45 that divides 45 without a remainder.

1, 3, 5, 9, 15, 45

Divisors of 82

List of positive integer divisors of 82 that divides 82 without a remainder.

1, 2, 41, 82

Divisors of 17

List of positive integer divisors of 17 that divides 17 without a remainder.

1, 17

Greatest Common Divisior

We found the divisors of 50, 45, 82, 17 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 50, 45, 82, 17 is 1.

Therefore, GCD of numbers 50, 45, 82, 17 is 1

Given Input Data is 50, 45, 82, 17

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

Prime Factorization of 50 is 2 x 5 x 5

Prime Factorization of 45 is 3 x 3 x 5

Prime Factorization of 82 is 2 x 41

Prime Factorization of 17 is 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(50, 45) = 450

GCD(50, 45) = ( 50 x 45 ) / 450

GCD(50, 45) = 2250 / 450

GCD(50, 45) = 5

Step2:

Here we consider the GCD from the above i.e. 5 as first number and the next as 82

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

LCM(5, 82) = 410

GCD(5, 82) = ( 5 x 82 ) / 410

GCD(5, 82) = 410 / 410

GCD(5, 82) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 17

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

LCM(1, 17) = 17

GCD(1, 17) = ( 1 x 17 ) / 17

GCD(1, 17) = 17 / 17

GCD(1, 17) = 1

GCD of 50, 45, 82, 17 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 49, 39, 25, 38
• GCD of 21, 34, 51, 90
• GCD of 47, 89, 53, 48
• GCD of 93, 72, 50, 69
• GCD of 15, 54, 99, 47

1. What is the GCD of 50, 45, 82, 17?

GCD of 50, 45, 82, 17 is 1

2. Where do I get the detailed procedure to find GCD of 50, 45, 82, 17?

You can find a detailed procedure to find GCD of 50, 45, 82, 17 on our page.

3. How to find GCD of 50, 45, 82, 17 on a calculator?

You can find the GCD of 50, 45, 82, 17 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.