GCD of 225, 755, 71, 630 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 225, 755, 71, 630 i.e. 1 largest integer that divides all the numbers equally.

GCD of 225, 755, 71, 630 is 1

GCD(225, 755, 71, 630) = 1

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

GCD of

GCD of numbers 225, 755, 71, 630 is 1

GCD(225, 755, 71, 630) = 1

GCD of 225,755,71,630 Calculator

GCDof 225,755,71,630 is 1

Given Input numbers are 225, 755, 71, 630

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

Divisors of 225

List of positive integer divisors of 225 that divides 225 without a remainder.

1, 3, 5, 9, 15, 25, 45, 75, 225

Divisors of 755

List of positive integer divisors of 755 that divides 755 without a remainder.

1, 5, 151, 755

Divisors of 71

List of positive integer divisors of 71 that divides 71 without a remainder.

1, 71

Divisors of 630

List of positive integer divisors of 630 that divides 630 without a remainder.

1, 2, 3, 5, 6, 7, 9, 10, 14, 15, 18, 21, 30, 35, 42, 45, 63, 70, 90, 105, 126, 210, 315, 630

Greatest Common Divisior

We found the divisors of 225, 755, 71, 630 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 225, 755, 71, 630 is 1.

Therefore, GCD of numbers 225, 755, 71, 630 is 1

Finding GCD of 225, 755, 71, 630 using Prime Factorization

Given Input Data is 225, 755, 71, 630

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

Prime Factorization of 225 is 3 x 3 x 5 x 5

Prime Factorization of 755 is 5 x 151

Prime Factorization of 71 is 71

Prime Factorization of 630 is 2 x 3 x 3 x 5 x 7

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

Finding GCD of 225, 755, 71, 630 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(225, 755) = 33975

GCD(225, 755) = ( 225 x 755 ) / 33975

GCD(225, 755) = 169875 / 33975

GCD(225, 755) = 5


Step2:

Here we consider the GCD from the above i.e. 5 as first number and the next as 71

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

LCM(5, 71) = 355

GCD(5, 71) = ( 5 x 71 ) / 355

GCD(5, 71) = 355 / 355

GCD(5, 71) = 1


Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 630

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

LCM(1, 630) = 630

GCD(1, 630) = ( 1 x 630 ) / 630

GCD(1, 630) = 630 / 630

GCD(1, 630) = 1

GCD of 225, 755, 71, 630 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 225, 755, 71, 630

1. What is the GCD of 225, 755, 71, 630?

GCD of 225, 755, 71, 630 is 1


2. Where do I get the detailed procedure to find GCD of 225, 755, 71, 630?

You can find a detailed procedure to find GCD of 225, 755, 71, 630 on our page.


3. How to find GCD of 225, 755, 71, 630 on a calculator?

You can find the GCD of 225, 755, 71, 630 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.