GCD of 663, 340, 707, 675 Calculator

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Make use of GCD Calculator to determine the Greatest Common Divisor of 663, 340, 707, 675 i.e. 1 largest integer that divides all the numbers equally.

GCD of 663, 340, 707, 675 is 1

GCD(663, 340, 707, 675) = 1

Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345

GCD of

GCD of numbers 663, 340, 707, 675 is 1

GCD(663, 340, 707, 675) = 1

GCD of 663,340,707,675 Calculator

GCDof 663,340,707,675 is 1

Given Input numbers are 663, 340, 707, 675

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

Divisors of 663

List of positive integer divisors of 663 that divides 663 without a remainder.

1, 3, 13, 17, 39, 51, 221, 663

Divisors of 340

List of positive integer divisors of 340 that divides 340 without a remainder.

1, 2, 4, 5, 10, 17, 20, 34, 68, 85, 170, 340

Divisors of 707

List of positive integer divisors of 707 that divides 707 without a remainder.

1, 7, 101, 707

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 663, 340, 707, 675 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 663, 340, 707, 675 is 1.

Therefore, GCD of numbers 663, 340, 707, 675 is 1

Finding GCD of 663, 340, 707, 675 using Prime Factorization

Given Input Data is 663, 340, 707, 675

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

Prime Factorization of 663 is 3 x 13 x 17

Prime Factorization of 340 is 2 x 2 x 5 x 17

Prime Factorization of 707 is 7 x 101

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

Finding GCD of 663, 340, 707, 675 using LCM Formula

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(663, 340) = 13260

GCD(663, 340) = ( 663 x 340 ) / 13260

GCD(663, 340) = 225420 / 13260

GCD(663, 340) = 17


Step2:

Here we consider the GCD from the above i.e. 17 as first number and the next as 707

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

LCM(17, 707) = 12019

GCD(17, 707) = ( 17 x 707 ) / 12019

GCD(17, 707) = 12019 / 12019

GCD(17, 707) = 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 663, 340, 707, 675 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 663, 340, 707, 675

1. What is the GCD of 663, 340, 707, 675?

GCD of 663, 340, 707, 675 is 1


2. Where do I get the detailed procedure to find GCD of 663, 340, 707, 675?

You can find a detailed procedure to find GCD of 663, 340, 707, 675 on our page.


3. How to find GCD of 663, 340, 707, 675 on a calculator?

You can find the GCD of 663, 340, 707, 675 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.