GCD of 912, 760, 82, 925 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 912, 760, 82, 925 i.e. 1 largest integer that divides all the numbers equally.

GCD of 912, 760, 82, 925 is 1

GCD(912, 760, 82, 925) = 1

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

GCD of

GCD of numbers 912, 760, 82, 925 is 1

GCD(912, 760, 82, 925) = 1

GCD of 912,760,82,925 Calculator

GCDof 912,760,82,925 is 1

Given Input numbers are 912, 760, 82, 925

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

Divisors of 912

List of positive integer divisors of 912 that divides 912 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 19, 24, 38, 48, 57, 76, 114, 152, 228, 304, 456, 912

Divisors of 760

List of positive integer divisors of 760 that divides 760 without a remainder.

1, 2, 4, 5, 8, 10, 19, 20, 38, 40, 76, 95, 152, 190, 380, 760

Divisors of 82

List of positive integer divisors of 82 that divides 82 without a remainder.

1, 2, 41, 82

Divisors of 925

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

1, 5, 25, 37, 185, 925

Greatest Common Divisior

We found the divisors of 912, 760, 82, 925 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 912, 760, 82, 925 is 1.

Therefore, GCD of numbers 912, 760, 82, 925 is 1

Finding GCD of 912, 760, 82, 925 using Prime Factorization

Given Input Data is 912, 760, 82, 925

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

Prime Factorization of 912 is 2 x 2 x 2 x 2 x 3 x 19

Prime Factorization of 760 is 2 x 2 x 2 x 5 x 19

Prime Factorization of 82 is 2 x 41

Prime Factorization of 925 is 5 x 5 x 37

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

Finding GCD of 912, 760, 82, 925 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(912, 760) = 4560

GCD(912, 760) = ( 912 x 760 ) / 4560

GCD(912, 760) = 693120 / 4560

GCD(912, 760) = 152


Step2:

Here we consider the GCD from the above i.e. 152 as first number and the next as 82

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

LCM(152, 82) = 6232

GCD(152, 82) = ( 152 x 82 ) / 6232

GCD(152, 82) = 12464 / 6232

GCD(152, 82) = 2


Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 925

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

LCM(2, 925) = 1850

GCD(2, 925) = ( 2 x 925 ) / 1850

GCD(2, 925) = 1850 / 1850

GCD(2, 925) = 1

GCD of 912, 760, 82, 925 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 912, 760, 82, 925

1. What is the GCD of 912, 760, 82, 925?

GCD of 912, 760, 82, 925 is 1


2. Where do I get the detailed procedure to find GCD of 912, 760, 82, 925?

You can find a detailed procedure to find GCD of 912, 760, 82, 925 on our page.


3. How to find GCD of 912, 760, 82, 925 on a calculator?

You can find the GCD of 912, 760, 82, 925 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.