GCD of 287, 645, 765 Calculator

Given Input numbers are 287, 645, 765

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

Divisors of 287

List of positive integer divisors of 287 that divides 287 without a remainder.

1, 7, 41, 287

Divisors of 645

List of positive integer divisors of 645 that divides 645 without a remainder.

1, 3, 5, 15, 43, 129, 215, 645

Divisors of 765

List of positive integer divisors of 765 that divides 765 without a remainder.

1, 3, 5, 9, 15, 17, 45, 51, 85, 153, 255, 765

Greatest Common Divisior

We found the divisors of 287, 645, 765 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 287, 645, 765 is 1.

Therefore, GCD of numbers 287, 645, 765 is 1

Given Input Data is 287, 645, 765

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

Prime Factorization of 287 is 7 x 41

Prime Factorization of 645 is 3 x 5 x 43

Prime Factorization of 765 is 3 x 3 x 5 x 17

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(287, 645) = 185115

GCD(287, 645) = ( 287 x 645 ) / 185115

GCD(287, 645) = 185115 / 185115

GCD(287, 645) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 765

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

LCM(1, 765) = 765

GCD(1, 765) = ( 1 x 765 ) / 765

GCD(1, 765) = 765 / 765

GCD(1, 765) = 1

GCD of 287, 645, 765 is 1

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1. What is the GCD of 287, 645, 765?

GCD of 287, 645, 765 is 1

2. Where do I get the detailed procedure to find GCD of 287, 645, 765?

You can find a detailed procedure to find GCD of 287, 645, 765 on our page.

3. How to find GCD of 287, 645, 765 on a calculator?

You can find the GCD of 287, 645, 765 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.