GCD of 915, 365, 170 Calculator

Given Input numbers are 915, 365, 170

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 365

List of positive integer divisors of 365 that divides 365 without a remainder.

1, 5, 73, 365

Divisors of 170

List of positive integer divisors of 170 that divides 170 without a remainder.

1, 2, 5, 10, 17, 34, 85, 170

Greatest Common Divisior

We found the divisors of 915, 365, 170 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 915, 365, 170 is 5.

Therefore, GCD of numbers 915, 365, 170 is 5

Given Input Data is 915, 365, 170

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 365 is 5 x 73

Prime Factorization of 170 is 2 x 5 x 17

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, 365) = 66795

GCD(915, 365) = ( 915 x 365 ) / 66795

GCD(915, 365) = 333975 / 66795

GCD(915, 365) = 5

Step2:

Here we consider the GCD from the above i.e. 5 as first number and the next as 170

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

LCM(5, 170) = 170

GCD(5, 170) = ( 5 x 170 ) / 170

GCD(5, 170) = 850 / 170

GCD(5, 170) = 5

GCD of 915, 365, 170 is 5

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1. What is the GCD of 915, 365, 170?

GCD of 915, 365, 170 is 5

2. Where do I get the detailed procedure to find GCD of 915, 365, 170?

You can find a detailed procedure to find GCD of 915, 365, 170 on our page.

3. How to find GCD of 915, 365, 170 on a calculator?

You can find the GCD of 915, 365, 170 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.