GCD of 766, 357, 489 Calculator

Given Input numbers are 766, 357, 489

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

Divisors of 766

List of positive integer divisors of 766 that divides 766 without a remainder.

1, 2, 383, 766

Divisors of 357

List of positive integer divisors of 357 that divides 357 without a remainder.

1, 3, 7, 17, 21, 51, 119, 357

Divisors of 489

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

1, 3, 163, 489

Greatest Common Divisior

We found the divisors of 766, 357, 489 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 766, 357, 489 is 1.

Therefore, GCD of numbers 766, 357, 489 is 1

Given Input Data is 766, 357, 489

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

Prime Factorization of 766 is 2 x 383

Prime Factorization of 357 is 3 x 7 x 17

Prime Factorization of 489 is 3 x 163

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(766, 357) = 273462

GCD(766, 357) = ( 766 x 357 ) / 273462

GCD(766, 357) = 273462 / 273462

GCD(766, 357) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 489

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

LCM(1, 489) = 489

GCD(1, 489) = ( 1 x 489 ) / 489

GCD(1, 489) = 489 / 489

GCD(1, 489) = 1

GCD of 766, 357, 489 is 1

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1. What is the GCD of 766, 357, 489?

GCD of 766, 357, 489 is 1

2. Where do I get the detailed procedure to find GCD of 766, 357, 489?

You can find a detailed procedure to find GCD of 766, 357, 489 on our page.

3. How to find GCD of 766, 357, 489 on a calculator?

You can find the GCD of 766, 357, 489 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.