GCD of 891, 174, 27, 417 Calculator

Given Input numbers are 891, 174, 27, 417

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

Divisors of 891

List of positive integer divisors of 891 that divides 891 without a remainder.

1, 3, 9, 11, 27, 33, 81, 99, 297, 891

Divisors of 174

List of positive integer divisors of 174 that divides 174 without a remainder.

1, 2, 3, 6, 29, 58, 87, 174

Divisors of 27

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

1, 3, 9, 27

Divisors of 417

List of positive integer divisors of 417 that divides 417 without a remainder.

1, 3, 139, 417

Greatest Common Divisior

We found the divisors of 891, 174, 27, 417 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 891, 174, 27, 417 is 3.

Therefore, GCD of numbers 891, 174, 27, 417 is 3

Given Input Data is 891, 174, 27, 417

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

Prime Factorization of 891 is 3 x 3 x 3 x 3 x 11

Prime Factorization of 174 is 2 x 3 x 29

Prime Factorization of 27 is 3 x 3 x 3

Prime Factorization of 417 is 3 x 139

Highest common occurrences in the given inputs are 3¹

Multiplying them we get the GCD as 3

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(891, 174) = 51678

GCD(891, 174) = ( 891 x 174 ) / 51678

GCD(891, 174) = 155034 / 51678

GCD(891, 174) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 27

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

LCM(3, 27) = 27

GCD(3, 27) = ( 3 x 27 ) / 27

GCD(3, 27) = 81 / 27

GCD(3, 27) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 417

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

LCM(3, 417) = 417

GCD(3, 417) = ( 3 x 417 ) / 417

GCD(3, 417) = 1251 / 417

GCD(3, 417) = 3

GCD of 891, 174, 27, 417 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 888, 927, 91, 120
• GCD of 978, 501, 96, 834
• GCD of 241, 887, 59, 461
• GCD of 500, 253, 37, 454
• GCD of 582, 254, 53, 917

1. What is the GCD of 891, 174, 27, 417?

GCD of 891, 174, 27, 417 is 3

2. Where do I get the detailed procedure to find GCD of 891, 174, 27, 417?

You can find a detailed procedure to find GCD of 891, 174, 27, 417 on our page.

3. How to find GCD of 891, 174, 27, 417 on a calculator?

You can find the GCD of 891, 174, 27, 417 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.