GCD of 156, 516, 927, 318 Calculator

Given Input numbers are 156, 516, 927, 318

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

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 516

List of positive integer divisors of 516 that divides 516 without a remainder.

1, 2, 3, 4, 6, 12, 43, 86, 129, 172, 258, 516

Divisors of 927

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

1, 3, 9, 103, 309, 927

Divisors of 318

List of positive integer divisors of 318 that divides 318 without a remainder.

1, 2, 3, 6, 53, 106, 159, 318

Greatest Common Divisior

We found the divisors of 156, 516, 927, 318 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 156, 516, 927, 318 is 3.

Therefore, GCD of numbers 156, 516, 927, 318 is 3

Given Input Data is 156, 516, 927, 318

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

Prime Factorization of 156 is 2 x 2 x 3 x 13

Prime Factorization of 516 is 2 x 2 x 3 x 43

Prime Factorization of 927 is 3 x 3 x 103

Prime Factorization of 318 is 2 x 3 x 53

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(156, 516) = 6708

GCD(156, 516) = ( 156 x 516 ) / 6708

GCD(156, 516) = 80496 / 6708

GCD(156, 516) = 12

Step2:

Here we consider the GCD from the above i.e. 12 as first number and the next as 927

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

LCM(12, 927) = 3708

GCD(12, 927) = ( 12 x 927 ) / 3708

GCD(12, 927) = 11124 / 3708

GCD(12, 927) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 318

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

LCM(3, 318) = 318

GCD(3, 318) = ( 3 x 318 ) / 318

GCD(3, 318) = 954 / 318

GCD(3, 318) = 3

GCD of 156, 516, 927, 318 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 361, 408, 867, 321
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• GCD of 722, 346, 695, 242
• GCD of 154, 197, 265, 729
• GCD of 235, 811, 610, 308

1. What is the GCD of 156, 516, 927, 318?

GCD of 156, 516, 927, 318 is 3

2. Where do I get the detailed procedure to find GCD of 156, 516, 927, 318?

You can find a detailed procedure to find GCD of 156, 516, 927, 318 on our page.

3. How to find GCD of 156, 516, 927, 318 on a calculator?

You can find the GCD of 156, 516, 927, 318 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.