GCD of 659, 217, 675 Calculator

Given Input numbers are 659, 217, 675

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

Divisors of 659

List of positive integer divisors of 659 that divides 659 without a remainder.

1, 659

Divisors of 217

List of positive integer divisors of 217 that divides 217 without a remainder.

1, 7, 31, 217

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

Greatest Common Divisior

We found the divisors of 659, 217, 675 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 659, 217, 675 is 1.

Therefore, GCD of numbers 659, 217, 675 is 1

Given Input Data is 659, 217, 675

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

Prime Factorization of 659 is 659

Prime Factorization of 217 is 7 x 31

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

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(659, 217) = 143003

GCD(659, 217) = ( 659 x 217 ) / 143003

GCD(659, 217) = 143003 / 143003

GCD(659, 217) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 675

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

LCM(1, 675) = 675

GCD(1, 675) = ( 1 x 675 ) / 675

GCD(1, 675) = 675 / 675

GCD(1, 675) = 1

GCD of 659, 217, 675 is 1

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1. What is the GCD of 659, 217, 675?

GCD of 659, 217, 675 is 1

2. Where do I get the detailed procedure to find GCD of 659, 217, 675?

You can find a detailed procedure to find GCD of 659, 217, 675 on our page.

3. How to find GCD of 659, 217, 675 on a calculator?

You can find the GCD of 659, 217, 675 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.