GCD of 360, 159, 927, 186 Calculator

Given Input numbers are 360, 159, 927, 186

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

Divisors of 360

List of positive integer divisors of 360 that divides 360 without a remainder.

1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 90, 120, 180, 360

Divisors of 159

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

1, 3, 53, 159

Divisors of 927

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

1, 3, 9, 103, 309, 927

Divisors of 186

List of positive integer divisors of 186 that divides 186 without a remainder.

1, 2, 3, 6, 31, 62, 93, 186

Greatest Common Divisior

We found the divisors of 360, 159, 927, 186 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 360, 159, 927, 186 is 3.

Therefore, GCD of numbers 360, 159, 927, 186 is 3

Given Input Data is 360, 159, 927, 186

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

Prime Factorization of 360 is 2 x 2 x 2 x 3 x 3 x 5

Prime Factorization of 159 is 3 x 53

Prime Factorization of 927 is 3 x 3 x 103

Prime Factorization of 186 is 2 x 3 x 31

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(360, 159) = 19080

GCD(360, 159) = ( 360 x 159 ) / 19080

GCD(360, 159) = 57240 / 19080

GCD(360, 159) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 927

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

LCM(3, 927) = 927

GCD(3, 927) = ( 3 x 927 ) / 927

GCD(3, 927) = 2781 / 927

GCD(3, 927) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 186

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

LCM(3, 186) = 186

GCD(3, 186) = ( 3 x 186 ) / 186

GCD(3, 186) = 558 / 186

GCD(3, 186) = 3

GCD of 360, 159, 927, 186 is 3

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1. What is the GCD of 360, 159, 927, 186?

GCD of 360, 159, 927, 186 is 3

2. Where do I get the detailed procedure to find GCD of 360, 159, 927, 186?

You can find a detailed procedure to find GCD of 360, 159, 927, 186 on our page.

3. How to find GCD of 360, 159, 927, 186 on a calculator?

You can find the GCD of 360, 159, 927, 186 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.