GCD of 609, 759, 680, 675 Calculator

Given Input numbers are 609, 759, 680, 675

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

Divisors of 609

List of positive integer divisors of 609 that divides 609 without a remainder.

1, 3, 7, 21, 29, 87, 203, 609

Divisors of 759

List of positive integer divisors of 759 that divides 759 without a remainder.

1, 3, 11, 23, 33, 69, 253, 759

Divisors of 680

List of positive integer divisors of 680 that divides 680 without a remainder.

1, 2, 4, 5, 8, 10, 17, 20, 34, 40, 68, 85, 136, 170, 340, 680

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 609, 759, 680, 675 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 609, 759, 680, 675 is 1.

Therefore, GCD of numbers 609, 759, 680, 675 is 1

Given Input Data is 609, 759, 680, 675

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

Prime Factorization of 609 is 3 x 7 x 29

Prime Factorization of 759 is 3 x 11 x 23

Prime Factorization of 680 is 2 x 2 x 2 x 5 x 17

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(609, 759) = 154077

GCD(609, 759) = ( 609 x 759 ) / 154077

GCD(609, 759) = 462231 / 154077

GCD(609, 759) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 680

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

LCM(3, 680) = 2040

GCD(3, 680) = ( 3 x 680 ) / 2040

GCD(3, 680) = 2040 / 2040

GCD(3, 680) = 1

Step3:

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 609, 759, 680, 675 is 1

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1. What is the GCD of 609, 759, 680, 675?

GCD of 609, 759, 680, 675 is 1

2. Where do I get the detailed procedure to find GCD of 609, 759, 680, 675?

You can find a detailed procedure to find GCD of 609, 759, 680, 675 on our page.

3. How to find GCD of 609, 759, 680, 675 on a calculator?

You can find the GCD of 609, 759, 680, 675 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.