GCD of 327, 876, 306, 135 Calculator

Given Input numbers are 327, 876, 306, 135

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

Divisors of 327

List of positive integer divisors of 327 that divides 327 without a remainder.

1, 3, 109, 327

Divisors of 876

List of positive integer divisors of 876 that divides 876 without a remainder.

1, 2, 3, 4, 6, 12, 73, 146, 219, 292, 438, 876

Divisors of 306

List of positive integer divisors of 306 that divides 306 without a remainder.

1, 2, 3, 6, 9, 17, 18, 34, 51, 102, 153, 306

Divisors of 135

List of positive integer divisors of 135 that divides 135 without a remainder.

1, 3, 5, 9, 15, 27, 45, 135

Greatest Common Divisior

We found the divisors of 327, 876, 306, 135 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 327, 876, 306, 135 is 3.

Therefore, GCD of numbers 327, 876, 306, 135 is 3

Given Input Data is 327, 876, 306, 135

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

Prime Factorization of 327 is 3 x 109

Prime Factorization of 876 is 2 x 2 x 3 x 73

Prime Factorization of 306 is 2 x 3 x 3 x 17

Prime Factorization of 135 is 3 x 3 x 3 x 5

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(327, 876) = 95484

GCD(327, 876) = ( 327 x 876 ) / 95484

GCD(327, 876) = 286452 / 95484

GCD(327, 876) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 306

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

LCM(3, 306) = 306

GCD(3, 306) = ( 3 x 306 ) / 306

GCD(3, 306) = 918 / 306

GCD(3, 306) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 135

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

LCM(3, 135) = 135

GCD(3, 135) = ( 3 x 135 ) / 135

GCD(3, 135) = 405 / 135

GCD(3, 135) = 3

GCD of 327, 876, 306, 135 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 989, 422, 132, 807
• GCD of 232, 809, 525, 764
• GCD of 520, 543, 565, 811
• GCD of 624, 512, 392, 638
• GCD of 321, 377, 275, 207

1. What is the GCD of 327, 876, 306, 135?

GCD of 327, 876, 306, 135 is 3

2. Where do I get the detailed procedure to find GCD of 327, 876, 306, 135?

You can find a detailed procedure to find GCD of 327, 876, 306, 135 on our page.

3. How to find GCD of 327, 876, 306, 135 on a calculator?

You can find the GCD of 327, 876, 306, 135 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.