GCD of 380, 810, 76, 360 Calculator

Given Input numbers are 380, 810, 76, 360

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

Divisors of 380

List of positive integer divisors of 380 that divides 380 without a remainder.

1, 2, 4, 5, 10, 19, 20, 38, 76, 95, 190, 380

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

Divisors of 76

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

1, 2, 4, 19, 38, 76

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

Greatest Common Divisior

We found the divisors of 380, 810, 76, 360 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 380, 810, 76, 360 is 2.

Therefore, GCD of numbers 380, 810, 76, 360 is 2

Given Input Data is 380, 810, 76, 360

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

Prime Factorization of 380 is 2 x 2 x 5 x 19

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

Prime Factorization of 76 is 2 x 2 x 19

Prime Factorization of 360 is 2 x 2 x 2 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(380, 810) = 30780

GCD(380, 810) = ( 380 x 810 ) / 30780

GCD(380, 810) = 307800 / 30780

GCD(380, 810) = 10

Step2:

Here we consider the GCD from the above i.e. 10 as first number and the next as 76

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

LCM(10, 76) = 380

GCD(10, 76) = ( 10 x 76 ) / 380

GCD(10, 76) = 760 / 380

GCD(10, 76) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 360

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

LCM(2, 360) = 360

GCD(2, 360) = ( 2 x 360 ) / 360

GCD(2, 360) = 720 / 360

GCD(2, 360) = 2

GCD of 380, 810, 76, 360 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 200, 382, 96, 794
• GCD of 995, 179, 51, 167
• GCD of 465, 660, 65, 934
• GCD of 444, 458, 83, 750
• GCD of 273, 487, 53, 150

1. What is the GCD of 380, 810, 76, 360?

GCD of 380, 810, 76, 360 is 2

2. Where do I get the detailed procedure to find GCD of 380, 810, 76, 360?

You can find a detailed procedure to find GCD of 380, 810, 76, 360 on our page.

3. How to find GCD of 380, 810, 76, 360 on a calculator?

You can find the GCD of 380, 810, 76, 360 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.