GCD of 25, 30, 47, 45 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 25, 30, 47, 45 i.e. 1 largest integer that divides all the numbers equally.

GCD of 25, 30, 47, 45 is 1

GCD(25, 30, 47, 45) = 1

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

GCD of

GCD of numbers 25, 30, 47, 45 is 1

GCD(25, 30, 47, 45) = 1

GCD of 25,30,47,45 Calculator

GCDof 25,30,47,45 is 1

Given Input numbers are 25, 30, 47, 45

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

Divisors of 25

List of positive integer divisors of 25 that divides 25 without a remainder.

1, 5, 25

Divisors of 30

List of positive integer divisors of 30 that divides 30 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30

Divisors of 47

List of positive integer divisors of 47 that divides 47 without a remainder.

1, 47

Divisors of 45

List of positive integer divisors of 45 that divides 45 without a remainder.

1, 3, 5, 9, 15, 45

Greatest Common Divisior

We found the divisors of 25, 30, 47, 45 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 25, 30, 47, 45 is 1.

Therefore, GCD of numbers 25, 30, 47, 45 is 1

Finding GCD of 25, 30, 47, 45 using Prime Factorization

Given Input Data is 25, 30, 47, 45

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

Prime Factorization of 25 is 5 x 5

Prime Factorization of 30 is 2 x 3 x 5

Prime Factorization of 47 is 47

Prime Factorization of 45 is 3 x 3 x 5

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

Finding GCD of 25, 30, 47, 45 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(25, 30) = 150

GCD(25, 30) = ( 25 x 30 ) / 150

GCD(25, 30) = 750 / 150

GCD(25, 30) = 5


Step2:

Here we consider the GCD from the above i.e. 5 as first number and the next as 47

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

LCM(5, 47) = 235

GCD(5, 47) = ( 5 x 47 ) / 235

GCD(5, 47) = 235 / 235

GCD(5, 47) = 1


Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 45

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

LCM(1, 45) = 45

GCD(1, 45) = ( 1 x 45 ) / 45

GCD(1, 45) = 45 / 45

GCD(1, 45) = 1

GCD of 25, 30, 47, 45 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 25, 30, 47, 45

1. What is the GCD of 25, 30, 47, 45?

GCD of 25, 30, 47, 45 is 1


2. Where do I get the detailed procedure to find GCD of 25, 30, 47, 45?

You can find a detailed procedure to find GCD of 25, 30, 47, 45 on our page.


3. How to find GCD of 25, 30, 47, 45 on a calculator?

You can find the GCD of 25, 30, 47, 45 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.