GCD of 295, 732, 63, 825 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 295, 732, 63, 825 i.e. 1 largest integer that divides all the numbers equally.

GCD of 295, 732, 63, 825 is 1

GCD(295, 732, 63, 825) = 1

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

GCD of

GCD of numbers 295, 732, 63, 825 is 1

GCD(295, 732, 63, 825) = 1

GCD of 295,732,63,825 Calculator

GCDof 295,732,63,825 is 1

Given Input numbers are 295, 732, 63, 825

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

Divisors of 295

List of positive integer divisors of 295 that divides 295 without a remainder.

1, 5, 59, 295

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 63

List of positive integer divisors of 63 that divides 63 without a remainder.

1, 3, 7, 9, 21, 63

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

Greatest Common Divisior

We found the divisors of 295, 732, 63, 825 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 295, 732, 63, 825 is 1.

Therefore, GCD of numbers 295, 732, 63, 825 is 1

Finding GCD of 295, 732, 63, 825 using Prime Factorization

Given Input Data is 295, 732, 63, 825

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

Prime Factorization of 295 is 5 x 59

Prime Factorization of 732 is 2 x 2 x 3 x 61

Prime Factorization of 63 is 3 x 3 x 7

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

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

Finding GCD of 295, 732, 63, 825 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(295, 732) = 215940

GCD(295, 732) = ( 295 x 732 ) / 215940

GCD(295, 732) = 215940 / 215940

GCD(295, 732) = 1


Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 63

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

LCM(1, 63) = 63

GCD(1, 63) = ( 1 x 63 ) / 63

GCD(1, 63) = 63 / 63

GCD(1, 63) = 1


Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 825

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

LCM(1, 825) = 825

GCD(1, 825) = ( 1 x 825 ) / 825

GCD(1, 825) = 825 / 825

GCD(1, 825) = 1

GCD of 295, 732, 63, 825 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 295, 732, 63, 825

1. What is the GCD of 295, 732, 63, 825?

GCD of 295, 732, 63, 825 is 1


2. Where do I get the detailed procedure to find GCD of 295, 732, 63, 825?

You can find a detailed procedure to find GCD of 295, 732, 63, 825 on our page.


3. How to find GCD of 295, 732, 63, 825 on a calculator?

You can find the GCD of 295, 732, 63, 825 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.