GCD of 85, 34, 41, 55 Calculator

Given Input numbers are 85, 34, 41, 55

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

Divisors of 85

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

1, 5, 17, 85

Divisors of 34

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

1, 2, 17, 34

Divisors of 41

List of positive integer divisors of 41 that divides 41 without a remainder.

1, 41

Divisors of 55

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

1, 5, 11, 55

Greatest Common Divisior

We found the divisors of 85, 34, 41, 55 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 85, 34, 41, 55 is 1.

Therefore, GCD of numbers 85, 34, 41, 55 is 1

Given Input Data is 85, 34, 41, 55

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

Prime Factorization of 85 is 5 x 17

Prime Factorization of 34 is 2 x 17

Prime Factorization of 41 is 41

Prime Factorization of 55 is 5 x 11

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(85, 34) = 170

GCD(85, 34) = ( 85 x 34 ) / 170

GCD(85, 34) = 2890 / 170

GCD(85, 34) = 17

Step2:

Here we consider the GCD from the above i.e. 17 as first number and the next as 41

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

LCM(17, 41) = 697

GCD(17, 41) = ( 17 x 41 ) / 697

GCD(17, 41) = 697 / 697

GCD(17, 41) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 55

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

LCM(1, 55) = 55

GCD(1, 55) = ( 1 x 55 ) / 55

GCD(1, 55) = 55 / 55

GCD(1, 55) = 1

GCD of 85, 34, 41, 55 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 17, 81, 62, 54
• GCD of 59, 55, 20, 11
• GCD of 23, 56, 39, 53
• GCD of 90, 96, 76, 27
• GCD of 18, 78, 39, 27

1. What is the GCD of 85, 34, 41, 55?

GCD of 85, 34, 41, 55 is 1

2. Where do I get the detailed procedure to find GCD of 85, 34, 41, 55?

You can find a detailed procedure to find GCD of 85, 34, 41, 55 on our page.

3. How to find GCD of 85, 34, 41, 55 on a calculator?

You can find the GCD of 85, 34, 41, 55 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.