GCD of 927, 159, 849 Calculator

Given Input numbers are 927, 159, 849

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

Divisors of 927

List of positive integer divisors of 927 that divides 927 without a remainder.

1, 3, 9, 103, 309, 927

Divisors of 159

List of positive integer divisors of 159 that divides 159 without a remainder.

1, 3, 53, 159

Divisors of 849

List of positive integer divisors of 849 that divides 849 without a remainder.

1, 3, 283, 849

Greatest Common Divisior

We found the divisors of 927, 159, 849 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 927, 159, 849 is 3.

Therefore, GCD of numbers 927, 159, 849 is 3

Given Input Data is 927, 159, 849

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

Prime Factorization of 927 is 3 x 3 x 103

Prime Factorization of 159 is 3 x 53

Prime Factorization of 849 is 3 x 283

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(927, 159) = 49131

GCD(927, 159) = ( 927 x 159 ) / 49131

GCD(927, 159) = 147393 / 49131

GCD(927, 159) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 849

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

LCM(3, 849) = 849

GCD(3, 849) = ( 3 x 849 ) / 849

GCD(3, 849) = 2547 / 849

GCD(3, 849) = 3

GCD of 927, 159, 849 is 3

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1. What is the GCD of 927, 159, 849?

GCD of 927, 159, 849 is 3

2. Where do I get the detailed procedure to find GCD of 927, 159, 849?

You can find a detailed procedure to find GCD of 927, 159, 849 on our page.

3. How to find GCD of 927, 159, 849 on a calculator?

You can find the GCD of 927, 159, 849 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.