GCD of 927, 156, 60, 867 Calculator

Given Input numbers are 927, 156, 60, 867

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 156

List of positive integer divisors of 156 that divides 156 without a remainder.

1, 2, 3, 4, 6, 12, 13, 26, 39, 52, 78, 156

Divisors of 60

List of positive integer divisors of 60 that divides 60 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60

Divisors of 867

List of positive integer divisors of 867 that divides 867 without a remainder.

1, 3, 17, 51, 289, 867

Greatest Common Divisior

We found the divisors of 927, 156, 60, 867 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 927, 156, 60, 867 is 3.

Therefore, GCD of numbers 927, 156, 60, 867 is 3

Given Input Data is 927, 156, 60, 867

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 156 is 2 x 2 x 3 x 13

Prime Factorization of 60 is 2 x 2 x 3 x 5

Prime Factorization of 867 is 3 x 17 x 17

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, 156) = 48204

GCD(927, 156) = ( 927 x 156 ) / 48204

GCD(927, 156) = 144612 / 48204

GCD(927, 156) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 60

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

LCM(3, 60) = 60

GCD(3, 60) = ( 3 x 60 ) / 60

GCD(3, 60) = 180 / 60

GCD(3, 60) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 867

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

LCM(3, 867) = 867

GCD(3, 867) = ( 3 x 867 ) / 867

GCD(3, 867) = 2601 / 867

GCD(3, 867) = 3

GCD of 927, 156, 60, 867 is 3

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1. What is the GCD of 927, 156, 60, 867?

GCD of 927, 156, 60, 867 is 3

2. Where do I get the detailed procedure to find GCD of 927, 156, 60, 867?

You can find a detailed procedure to find GCD of 927, 156, 60, 867 on our page.

3. How to find GCD of 927, 156, 60, 867 on a calculator?

You can find the GCD of 927, 156, 60, 867 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.