GCD of 925, 726, 682, 585 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 925, 726, 682, 585 i.e. 1 largest integer that divides all the numbers equally.

GCD of 925, 726, 682, 585 is 1

GCD(925, 726, 682, 585) = 1

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

GCD of

GCD of numbers 925, 726, 682, 585 is 1

GCD(925, 726, 682, 585) = 1

GCD of 925,726,682,585 Calculator

GCDof 925,726,682,585 is 1

Given Input numbers are 925, 726, 682, 585

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

Divisors of 925

List of positive integer divisors of 925 that divides 925 without a remainder.

1, 5, 25, 37, 185, 925

Divisors of 726

List of positive integer divisors of 726 that divides 726 without a remainder.

1, 2, 3, 6, 11, 22, 33, 66, 121, 242, 363, 726

Divisors of 682

List of positive integer divisors of 682 that divides 682 without a remainder.

1, 2, 11, 22, 31, 62, 341, 682

Divisors of 585

List of positive integer divisors of 585 that divides 585 without a remainder.

1, 3, 5, 9, 13, 15, 39, 45, 65, 117, 195, 585

Greatest Common Divisior

We found the divisors of 925, 726, 682, 585 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 925, 726, 682, 585 is 1.

Therefore, GCD of numbers 925, 726, 682, 585 is 1

Finding GCD of 925, 726, 682, 585 using Prime Factorization

Given Input Data is 925, 726, 682, 585

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

Prime Factorization of 925 is 5 x 5 x 37

Prime Factorization of 726 is 2 x 3 x 11 x 11

Prime Factorization of 682 is 2 x 11 x 31

Prime Factorization of 585 is 3 x 3 x 5 x 13

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

Finding GCD of 925, 726, 682, 585 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(925, 726) = 671550

GCD(925, 726) = ( 925 x 726 ) / 671550

GCD(925, 726) = 671550 / 671550

GCD(925, 726) = 1


Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 682

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

LCM(1, 682) = 682

GCD(1, 682) = ( 1 x 682 ) / 682

GCD(1, 682) = 682 / 682

GCD(1, 682) = 1


Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 585

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

LCM(1, 585) = 585

GCD(1, 585) = ( 1 x 585 ) / 585

GCD(1, 585) = 585 / 585

GCD(1, 585) = 1

GCD of 925, 726, 682, 585 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 925, 726, 682, 585

1. What is the GCD of 925, 726, 682, 585?

GCD of 925, 726, 682, 585 is 1


2. Where do I get the detailed procedure to find GCD of 925, 726, 682, 585?

You can find a detailed procedure to find GCD of 925, 726, 682, 585 on our page.


3. How to find GCD of 925, 726, 682, 585 on a calculator?

You can find the GCD of 925, 726, 682, 585 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.