GCD of 785, 925, 908, 264 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 785, 925, 908, 264 i.e. 1 largest integer that divides all the numbers equally.

GCD of 785, 925, 908, 264 is 1

GCD(785, 925, 908, 264) = 1

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

GCD of

GCD of numbers 785, 925, 908, 264 is 1

GCD(785, 925, 908, 264) = 1

GCD of 785,925,908,264 Calculator

GCDof 785,925,908,264 is 1

Given Input numbers are 785, 925, 908, 264

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

Divisors of 785

List of positive integer divisors of 785 that divides 785 without a remainder.

1, 5, 157, 785

Divisors of 925

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

1, 5, 25, 37, 185, 925

Divisors of 908

List of positive integer divisors of 908 that divides 908 without a remainder.

1, 2, 4, 227, 454, 908

Divisors of 264

List of positive integer divisors of 264 that divides 264 without a remainder.

1, 2, 3, 4, 6, 8, 11, 12, 22, 24, 33, 44, 66, 88, 132, 264

Greatest Common Divisior

We found the divisors of 785, 925, 908, 264 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 785, 925, 908, 264 is 1.

Therefore, GCD of numbers 785, 925, 908, 264 is 1

Finding GCD of 785, 925, 908, 264 using Prime Factorization

Given Input Data is 785, 925, 908, 264

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

Prime Factorization of 785 is 5 x 157

Prime Factorization of 925 is 5 x 5 x 37

Prime Factorization of 908 is 2 x 2 x 227

Prime Factorization of 264 is 2 x 2 x 2 x 3 x 11

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

Finding GCD of 785, 925, 908, 264 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(785, 925) = 145225

GCD(785, 925) = ( 785 x 925 ) / 145225

GCD(785, 925) = 726125 / 145225

GCD(785, 925) = 5


Step2:

Here we consider the GCD from the above i.e. 5 as first number and the next as 908

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

LCM(5, 908) = 4540

GCD(5, 908) = ( 5 x 908 ) / 4540

GCD(5, 908) = 4540 / 4540

GCD(5, 908) = 1


Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 264

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

LCM(1, 264) = 264

GCD(1, 264) = ( 1 x 264 ) / 264

GCD(1, 264) = 264 / 264

GCD(1, 264) = 1

GCD of 785, 925, 908, 264 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 785, 925, 908, 264

1. What is the GCD of 785, 925, 908, 264?

GCD of 785, 925, 908, 264 is 1


2. Where do I get the detailed procedure to find GCD of 785, 925, 908, 264?

You can find a detailed procedure to find GCD of 785, 925, 908, 264 on our page.


3. How to find GCD of 785, 925, 908, 264 on a calculator?

You can find the GCD of 785, 925, 908, 264 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.