GCD of 415, 385, 270, 170 Calculator

Given Input numbers are 415, 385, 270, 170

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

Divisors of 415

List of positive integer divisors of 415 that divides 415 without a remainder.

1, 5, 83, 415

Divisors of 385

List of positive integer divisors of 385 that divides 385 without a remainder.

1, 5, 7, 11, 35, 55, 77, 385

Divisors of 270

List of positive integer divisors of 270 that divides 270 without a remainder.

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

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 415, 385, 270, 170 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 415, 385, 270, 170 is 5.

Therefore, GCD of numbers 415, 385, 270, 170 is 5

Given Input Data is 415, 385, 270, 170

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

Prime Factorization of 415 is 5 x 83

Prime Factorization of 385 is 5 x 7 x 11

Prime Factorization of 270 is 2 x 3 x 3 x 3 x 5

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(415, 385) = 31955

GCD(415, 385) = ( 415 x 385 ) / 31955

GCD(415, 385) = 159775 / 31955

GCD(415, 385) = 5

Step2:

Here we consider the GCD from the above i.e. 5 as first number and the next as 270

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

LCM(5, 270) = 270

GCD(5, 270) = ( 5 x 270 ) / 270

GCD(5, 270) = 1350 / 270

GCD(5, 270) = 5

Step3:

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 415, 385, 270, 170 is 5

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1. What is the GCD of 415, 385, 270, 170?

GCD of 415, 385, 270, 170 is 5

2. Where do I get the detailed procedure to find GCD of 415, 385, 270, 170?

You can find a detailed procedure to find GCD of 415, 385, 270, 170 on our page.

3. How to find GCD of 415, 385, 270, 170 on a calculator?

You can find the GCD of 415, 385, 270, 170 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.