GCD of 85, 9, 30, 42 Calculator

Given Input numbers are 85, 9, 30, 42

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 9

List of positive integer divisors of 9 that divides 9 without a remainder.

1, 3, 9

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 42

List of positive integer divisors of 42 that divides 42 without a remainder.

1, 2, 3, 6, 7, 14, 21, 42

Greatest Common Divisior

We found the divisors of 85, 9, 30, 42 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 85, 9, 30, 42 is 1.

Therefore, GCD of numbers 85, 9, 30, 42 is 1

Given Input Data is 85, 9, 30, 42

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

Prime Factorization of 85 is 5 x 17

Prime Factorization of 9 is 3 x 3

Prime Factorization of 30 is 2 x 3 x 5

Prime Factorization of 42 is 2 x 3 x 7

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, 9) = 765

GCD(85, 9) = ( 85 x 9 ) / 765

GCD(85, 9) = 765 / 765

GCD(85, 9) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 30

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

LCM(1, 30) = 30

GCD(1, 30) = ( 1 x 30 ) / 30

GCD(1, 30) = 30 / 30

GCD(1, 30) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 42

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

LCM(1, 42) = 42

GCD(1, 42) = ( 1 x 42 ) / 42

GCD(1, 42) = 42 / 42

GCD(1, 42) = 1

GCD of 85, 9, 30, 42 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 91, 3, 69, 45
• GCD of 78, 3, 26, 88
• GCD of 60, 2, 92, 51
• GCD of 93, 9, 65, 99
• GCD of 66, 3, 45, 70

1. What is the GCD of 85, 9, 30, 42?

GCD of 85, 9, 30, 42 is 1

2. Where do I get the detailed procedure to find GCD of 85, 9, 30, 42?

You can find a detailed procedure to find GCD of 85, 9, 30, 42 on our page.

3. How to find GCD of 85, 9, 30, 42 on a calculator?

You can find the GCD of 85, 9, 30, 42 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.