GCD of 675, 645, 656 Calculator

Given Input numbers are 675, 645, 656

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

Divisors of 675

List of positive integer divisors of 675 that divides 675 without a remainder.

1, 3, 5, 9, 15, 25, 27, 45, 75, 135, 225, 675

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 656

List of positive integer divisors of 656 that divides 656 without a remainder.

1, 2, 4, 8, 16, 41, 82, 164, 328, 656

Greatest Common Divisior

We found the divisors of 675, 645, 656 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 675, 645, 656 is 1.

Therefore, GCD of numbers 675, 645, 656 is 1

Given Input Data is 675, 645, 656

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

Prime Factorization of 675 is 3 x 3 x 3 x 5 x 5

Prime Factorization of 645 is 3 x 5 x 43

Prime Factorization of 656 is 2 x 2 x 2 x 2 x 41

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(675, 645) = 29025

GCD(675, 645) = ( 675 x 645 ) / 29025

GCD(675, 645) = 435375 / 29025

GCD(675, 645) = 15

Step2:

Here we consider the GCD from the above i.e. 15 as first number and the next as 656

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

LCM(15, 656) = 9840

GCD(15, 656) = ( 15 x 656 ) / 9840

GCD(15, 656) = 9840 / 9840

GCD(15, 656) = 1

GCD of 675, 645, 656 is 1

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1. What is the GCD of 675, 645, 656?

GCD of 675, 645, 656 is 1

2. Where do I get the detailed procedure to find GCD of 675, 645, 656?

You can find a detailed procedure to find GCD of 675, 645, 656 on our page.

3. How to find GCD of 675, 645, 656 on a calculator?

You can find the GCD of 675, 645, 656 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.