GCD of 925, 732, 27, 217 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, 732, 27, 217 i.e. 1 largest integer that divides all the numbers equally.

GCD of 925, 732, 27, 217 is 1

GCD(925, 732, 27, 217) = 1

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

GCD of

GCD of numbers 925, 732, 27, 217 is 1

GCD(925, 732, 27, 217) = 1

GCD of 925,732,27,217 Calculator

GCDof 925,732,27,217 is 1

Given Input numbers are 925, 732, 27, 217

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 732

List of positive integer divisors of 732 that divides 732 without a remainder.

1, 2, 3, 4, 6, 12, 61, 122, 183, 244, 366, 732

Divisors of 27

List of positive integer divisors of 27 that divides 27 without a remainder.

1, 3, 9, 27

Divisors of 217

List of positive integer divisors of 217 that divides 217 without a remainder.

1, 7, 31, 217

Greatest Common Divisior

We found the divisors of 925, 732, 27, 217 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 925, 732, 27, 217 is 1.

Therefore, GCD of numbers 925, 732, 27, 217 is 1

Finding GCD of 925, 732, 27, 217 using Prime Factorization

Given Input Data is 925, 732, 27, 217

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 732 is 2 x 2 x 3 x 61

Prime Factorization of 27 is 3 x 3 x 3

Prime Factorization of 217 is 7 x 31

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

Finding GCD of 925, 732, 27, 217 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, 732) = 677100

GCD(925, 732) = ( 925 x 732 ) / 677100

GCD(925, 732) = 677100 / 677100

GCD(925, 732) = 1


Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 27

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

LCM(1, 27) = 27

GCD(1, 27) = ( 1 x 27 ) / 27

GCD(1, 27) = 27 / 27

GCD(1, 27) = 1


Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 217

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

LCM(1, 217) = 217

GCD(1, 217) = ( 1 x 217 ) / 217

GCD(1, 217) = 217 / 217

GCD(1, 217) = 1

GCD of 925, 732, 27, 217 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 925, 732, 27, 217

1. What is the GCD of 925, 732, 27, 217?

GCD of 925, 732, 27, 217 is 1


2. Where do I get the detailed procedure to find GCD of 925, 732, 27, 217?

You can find a detailed procedure to find GCD of 925, 732, 27, 217 on our page.


3. How to find GCD of 925, 732, 27, 217 on a calculator?

You can find the GCD of 925, 732, 27, 217 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.