GCD of 915, 815, 150 Calculator

Given Input numbers are 915, 815, 150

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

Divisors of 915

List of positive integer divisors of 915 that divides 915 without a remainder.

1, 3, 5, 15, 61, 183, 305, 915

Divisors of 815

List of positive integer divisors of 815 that divides 815 without a remainder.

1, 5, 163, 815

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

Greatest Common Divisior

We found the divisors of 915, 815, 150 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 915, 815, 150 is 5.

Therefore, GCD of numbers 915, 815, 150 is 5

Given Input Data is 915, 815, 150

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

Prime Factorization of 915 is 3 x 5 x 61

Prime Factorization of 815 is 5 x 163

Prime Factorization of 150 is 2 x 3 x 5 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(915, 815) = 149145

GCD(915, 815) = ( 915 x 815 ) / 149145

GCD(915, 815) = 745725 / 149145

GCD(915, 815) = 5

Step2:

Here we consider the GCD from the above i.e. 5 as first number and the next as 150

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

LCM(5, 150) = 150

GCD(5, 150) = ( 5 x 150 ) / 150

GCD(5, 150) = 750 / 150

GCD(5, 150) = 5

GCD of 915, 815, 150 is 5

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• GCD of 415, 299, 822
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1. What is the GCD of 915, 815, 150?

GCD of 915, 815, 150 is 5

2. Where do I get the detailed procedure to find GCD of 915, 815, 150?

You can find a detailed procedure to find GCD of 915, 815, 150 on our page.

3. How to find GCD of 915, 815, 150 on a calculator?

You can find the GCD of 915, 815, 150 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.