GCD of 150, 380, 275, 810 Calculator

Given Input numbers are 150, 380, 275, 810

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

Divisors of 150

List of positive integer divisors of 150 that divides 150 without a remainder.

1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 150

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 275

List of positive integer divisors of 275 that divides 275 without a remainder.

1, 5, 11, 25, 55, 275

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 150, 380, 275, 810 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 150, 380, 275, 810 is 5.

Therefore, GCD of numbers 150, 380, 275, 810 is 5

Given Input Data is 150, 380, 275, 810

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

Prime Factorization of 150 is 2 x 3 x 5 x 5

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

Prime Factorization of 275 is 5 x 5 x 11

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

Highest common occurrences in the given inputs are 5¹

Multiplying them we get the GCD as 5

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(150, 380) = 5700

GCD(150, 380) = ( 150 x 380 ) / 5700

GCD(150, 380) = 57000 / 5700

GCD(150, 380) = 10

Step2:

Here we consider the GCD from the above i.e. 10 as first number and the next as 275

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

LCM(10, 275) = 550

GCD(10, 275) = ( 10 x 275 ) / 550

GCD(10, 275) = 2750 / 550

GCD(10, 275) = 5

Step3:

Here we consider the GCD from the above i.e. 5 as first number and the next as 810

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

LCM(5, 810) = 810

GCD(5, 810) = ( 5 x 810 ) / 810

GCD(5, 810) = 4050 / 810

GCD(5, 810) = 5

GCD of 150, 380, 275, 810 is 5

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1. What is the GCD of 150, 380, 275, 810?

GCD of 150, 380, 275, 810 is 5

2. Where do I get the detailed procedure to find GCD of 150, 380, 275, 810?

You can find a detailed procedure to find GCD of 150, 380, 275, 810 on our page.

3. How to find GCD of 150, 380, 275, 810 on a calculator?

You can find the GCD of 150, 380, 275, 810 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.