GCD of 707, 825, 390, 555 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 707, 825, 390, 555 i.e. 1 largest integer that divides all the numbers equally.

GCD of 707, 825, 390, 555 is 1

GCD(707, 825, 390, 555) = 1

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

GCD of

GCD of numbers 707, 825, 390, 555 is 1

GCD(707, 825, 390, 555) = 1

GCD of 707,825,390,555 Calculator

GCDof 707,825,390,555 is 1

Given Input numbers are 707, 825, 390, 555

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

Divisors of 707

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

1, 7, 101, 707

Divisors of 825

List of positive integer divisors of 825 that divides 825 without a remainder.

1, 3, 5, 11, 15, 25, 33, 55, 75, 165, 275, 825

Divisors of 390

List of positive integer divisors of 390 that divides 390 without a remainder.

1, 2, 3, 5, 6, 10, 13, 15, 26, 30, 39, 65, 78, 130, 195, 390

Divisors of 555

List of positive integer divisors of 555 that divides 555 without a remainder.

1, 3, 5, 15, 37, 111, 185, 555

Greatest Common Divisior

We found the divisors of 707, 825, 390, 555 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 707, 825, 390, 555 is 1.

Therefore, GCD of numbers 707, 825, 390, 555 is 1

Finding GCD of 707, 825, 390, 555 using Prime Factorization

Given Input Data is 707, 825, 390, 555

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

Prime Factorization of 707 is 7 x 101

Prime Factorization of 825 is 3 x 5 x 5 x 11

Prime Factorization of 390 is 2 x 3 x 5 x 13

Prime Factorization of 555 is 3 x 5 x 37

The above numbers do not have any common prime factor. So GCD is 1

Finding GCD of 707, 825, 390, 555 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(707, 825) = 583275

GCD(707, 825) = ( 707 x 825 ) / 583275

GCD(707, 825) = 583275 / 583275

GCD(707, 825) = 1


Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 390

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

LCM(1, 390) = 390

GCD(1, 390) = ( 1 x 390 ) / 390

GCD(1, 390) = 390 / 390

GCD(1, 390) = 1


Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 555

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

LCM(1, 555) = 555

GCD(1, 555) = ( 1 x 555 ) / 555

GCD(1, 555) = 555 / 555

GCD(1, 555) = 1

GCD of 707, 825, 390, 555 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 707, 825, 390, 555

1. What is the GCD of 707, 825, 390, 555?

GCD of 707, 825, 390, 555 is 1


2. Where do I get the detailed procedure to find GCD of 707, 825, 390, 555?

You can find a detailed procedure to find GCD of 707, 825, 390, 555 on our page.


3. How to find GCD of 707, 825, 390, 555 on a calculator?

You can find the GCD of 707, 825, 390, 555 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.