GCD of 76, 316, 180, 810 Calculator

Given Input numbers are 76, 316, 180, 810

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

Divisors of 76

List of positive integer divisors of 76 that divides 76 without a remainder.

1, 2, 4, 19, 38, 76

Divisors of 316

List of positive integer divisors of 316 that divides 316 without a remainder.

1, 2, 4, 79, 158, 316

Divisors of 180

List of positive integer divisors of 180 that divides 180 without a remainder.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 90, 180

Divisors of 810

List of positive integer divisors of 810 that divides 810 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 81, 90, 135, 162, 270, 405, 810

Greatest Common Divisior

We found the divisors of 76, 316, 180, 810 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 76, 316, 180, 810 is 2.

Therefore, GCD of numbers 76, 316, 180, 810 is 2

Given Input Data is 76, 316, 180, 810

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

Prime Factorization of 76 is 2 x 2 x 19

Prime Factorization of 316 is 2 x 2 x 79

Prime Factorization of 180 is 2 x 2 x 3 x 3 x 5

Prime Factorization of 810 is 2 x 3 x 3 x 3 x 3 x 5

Highest common occurrences in the given inputs are 2¹

Multiplying them we get the GCD as 2

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(76, 316) = 6004

GCD(76, 316) = ( 76 x 316 ) / 6004

GCD(76, 316) = 24016 / 6004

GCD(76, 316) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 180

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

LCM(4, 180) = 180

GCD(4, 180) = ( 4 x 180 ) / 180

GCD(4, 180) = 720 / 180

GCD(4, 180) = 4

Step3:

Here we consider the GCD from the above i.e. 4 as first number and the next as 810

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

LCM(4, 810) = 1620

GCD(4, 810) = ( 4 x 810 ) / 1620

GCD(4, 810) = 3240 / 1620

GCD(4, 810) = 2

GCD of 76, 316, 180, 810 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 26, 317, 165, 241
• GCD of 39, 810, 134, 424
• GCD of 83, 990, 564, 250
• GCD of 84, 473, 586, 749
• GCD of 11, 147, 572, 419

1. What is the GCD of 76, 316, 180, 810?

GCD of 76, 316, 180, 810 is 2

2. Where do I get the detailed procedure to find GCD of 76, 316, 180, 810?

You can find a detailed procedure to find GCD of 76, 316, 180, 810 on our page.

3. How to find GCD of 76, 316, 180, 810 on a calculator?

You can find the GCD of 76, 316, 180, 810 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.