GCD of 95, 27, 45, 42 Calculator

Given Input numbers are 95, 27, 45, 42

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

Divisors of 95

List of positive integer divisors of 95 that divides 95 without a remainder.

1, 5, 19, 95

Divisors of 27

List of positive integer divisors of 27 that divides 27 without a remainder.

1, 3, 9, 27

Divisors of 45

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

1, 3, 5, 9, 15, 45

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 95, 27, 45, 42 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 95, 27, 45, 42 is 1.

Therefore, GCD of numbers 95, 27, 45, 42 is 1

Given Input Data is 95, 27, 45, 42

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

Prime Factorization of 95 is 5 x 19

Prime Factorization of 27 is 3 x 3 x 3

Prime Factorization of 45 is 3 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(95, 27) = 2565

GCD(95, 27) = ( 95 x 27 ) / 2565

GCD(95, 27) = 2565 / 2565

GCD(95, 27) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 45

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

LCM(1, 45) = 45

GCD(1, 45) = ( 1 x 45 ) / 45

GCD(1, 45) = 45 / 45

GCD(1, 45) = 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 95, 27, 45, 42 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 38, 49, 63, 32
• GCD of 19, 77, 25, 21
• GCD of 71, 89, 99, 32
• GCD of 37, 43, 31, 47
• GCD of 75, 68, 89, 23

1. What is the GCD of 95, 27, 45, 42?

GCD of 95, 27, 45, 42 is 1

2. Where do I get the detailed procedure to find GCD of 95, 27, 45, 42?

You can find a detailed procedure to find GCD of 95, 27, 45, 42 on our page.

3. How to find GCD of 95, 27, 45, 42 on a calculator?

You can find the GCD of 95, 27, 45, 42 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.