GCD of 687, 815, 945 Calculator

Given Input numbers are 687, 815, 945

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

Divisors of 687

List of positive integer divisors of 687 that divides 687 without a remainder.

1, 3, 229, 687

Divisors of 815

List of positive integer divisors of 815 that divides 815 without a remainder.

1, 5, 163, 815

Divisors of 945

List of positive integer divisors of 945 that divides 945 without a remainder.

1, 3, 5, 7, 9, 15, 21, 27, 35, 45, 63, 105, 135, 189, 315, 945

Greatest Common Divisior

We found the divisors of 687, 815, 945 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 687, 815, 945 is 1.

Therefore, GCD of numbers 687, 815, 945 is 1

Given Input Data is 687, 815, 945

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

Prime Factorization of 687 is 3 x 229

Prime Factorization of 815 is 5 x 163

Prime Factorization of 945 is 3 x 3 x 3 x 5 x 7

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(687, 815) = 559905

GCD(687, 815) = ( 687 x 815 ) / 559905

GCD(687, 815) = 559905 / 559905

GCD(687, 815) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 945

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

LCM(1, 945) = 945

GCD(1, 945) = ( 1 x 945 ) / 945

GCD(1, 945) = 945 / 945

GCD(1, 945) = 1

GCD of 687, 815, 945 is 1

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1. What is the GCD of 687, 815, 945?

GCD of 687, 815, 945 is 1

2. Where do I get the detailed procedure to find GCD of 687, 815, 945?

You can find a detailed procedure to find GCD of 687, 815, 945 on our page.

3. How to find GCD of 687, 815, 945 on a calculator?

You can find the GCD of 687, 815, 945 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.