GCD of 489, 170, 755 Calculator

Given Input numbers are 489, 170, 755

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

Divisors of 489

List of positive integer divisors of 489 that divides 489 without a remainder.

1, 3, 163, 489

Divisors of 170

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

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

Divisors of 755

List of positive integer divisors of 755 that divides 755 without a remainder.

1, 5, 151, 755

Greatest Common Divisior

We found the divisors of 489, 170, 755 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 489, 170, 755 is 1.

Therefore, GCD of numbers 489, 170, 755 is 1

Given Input Data is 489, 170, 755

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

Prime Factorization of 489 is 3 x 163

Prime Factorization of 170 is 2 x 5 x 17

Prime Factorization of 755 is 5 x 151

The above numbers do not have any common prime factor. So GCD is 1

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(489, 170) = 83130

GCD(489, 170) = ( 489 x 170 ) / 83130

GCD(489, 170) = 83130 / 83130

GCD(489, 170) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 755

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

LCM(1, 755) = 755

GCD(1, 755) = ( 1 x 755 ) / 755

GCD(1, 755) = 755 / 755

GCD(1, 755) = 1

GCD of 489, 170, 755 is 1

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1. What is the GCD of 489, 170, 755?

GCD of 489, 170, 755 is 1

2. Where do I get the detailed procedure to find GCD of 489, 170, 755?

You can find a detailed procedure to find GCD of 489, 170, 755 on our page.

3. How to find GCD of 489, 170, 755 on a calculator?

You can find the GCD of 489, 170, 755 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.