GCD of 75, 9, 86, 54 Calculator

Given Input numbers are 75, 9, 86, 54

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

Divisors of 75

List of positive integer divisors of 75 that divides 75 without a remainder.

1, 3, 5, 15, 25, 75

Divisors of 9

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

1, 3, 9

Divisors of 86

List of positive integer divisors of 86 that divides 86 without a remainder.

1, 2, 43, 86

Divisors of 54

List of positive integer divisors of 54 that divides 54 without a remainder.

1, 2, 3, 6, 9, 18, 27, 54

Greatest Common Divisior

We found the divisors of 75, 9, 86, 54 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 75, 9, 86, 54 is 1.

Therefore, GCD of numbers 75, 9, 86, 54 is 1

Given Input Data is 75, 9, 86, 54

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

Prime Factorization of 75 is 3 x 5 x 5

Prime Factorization of 9 is 3 x 3

Prime Factorization of 86 is 2 x 43

Prime Factorization of 54 is 2 x 3 x 3 x 3

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(75, 9) = 225

GCD(75, 9) = ( 75 x 9 ) / 225

GCD(75, 9) = 675 / 225

GCD(75, 9) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 86

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

LCM(3, 86) = 258

GCD(3, 86) = ( 3 x 86 ) / 258

GCD(3, 86) = 258 / 258

GCD(3, 86) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 54

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

LCM(1, 54) = 54

GCD(1, 54) = ( 1 x 54 ) / 54

GCD(1, 54) = 54 / 54

GCD(1, 54) = 1

GCD of 75, 9, 86, 54 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 71, 2, 70, 36
• GCD of 84, 2, 90, 42
• GCD of 90, 4, 27, 92
• GCD of 90, 5, 33, 75
• GCD of 49, 6, 52, 93

1. What is the GCD of 75, 9, 86, 54?

GCD of 75, 9, 86, 54 is 1

2. Where do I get the detailed procedure to find GCD of 75, 9, 86, 54?

You can find a detailed procedure to find GCD of 75, 9, 86, 54 on our page.

3. How to find GCD of 75, 9, 86, 54 on a calculator?

You can find the GCD of 75, 9, 86, 54 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.