GCD of 55, 30, 85, 17 Calculator

Given Input numbers are 55, 30, 85, 17

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

Divisors of 55

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

1, 5, 11, 55

Divisors of 30

List of positive integer divisors of 30 that divides 30 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30

Divisors of 85

List of positive integer divisors of 85 that divides 85 without a remainder.

1, 5, 17, 85

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 55, 30, 85, 17 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 55, 30, 85, 17 is 1.

Therefore, GCD of numbers 55, 30, 85, 17 is 1

Given Input Data is 55, 30, 85, 17

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

Prime Factorization of 55 is 5 x 11

Prime Factorization of 30 is 2 x 3 x 5

Prime Factorization of 85 is 5 x 17

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(55, 30) = 330

GCD(55, 30) = ( 55 x 30 ) / 330

GCD(55, 30) = 1650 / 330

GCD(55, 30) = 5

Step2:

Here we consider the GCD from the above i.e. 5 as first number and the next as 85

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

LCM(5, 85) = 85

GCD(5, 85) = ( 5 x 85 ) / 85

GCD(5, 85) = 425 / 85

GCD(5, 85) = 5

Step3:

Here we consider the GCD from the above i.e. 5 as first number and the next as 17

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

LCM(5, 17) = 85

GCD(5, 17) = ( 5 x 17 ) / 85

GCD(5, 17) = 85 / 85

GCD(5, 17) = 1

GCD of 55, 30, 85, 17 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 89, 71, 48, 76
• GCD of 56, 27, 35, 18
• GCD of 22, 52, 32, 89
• GCD of 54, 81, 92, 64
• GCD of 49, 67, 51, 75

1. What is the GCD of 55, 30, 85, 17?

GCD of 55, 30, 85, 17 is 1

2. Where do I get the detailed procedure to find GCD of 55, 30, 85, 17?

You can find a detailed procedure to find GCD of 55, 30, 85, 17 on our page.

3. How to find GCD of 55, 30, 85, 17 on a calculator?

You can find the GCD of 55, 30, 85, 17 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.