GCD of 897, 904, 147 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 897, 904, 147 i.e. 1 largest integer that divides all the numbers equally.

GCD of 897, 904, 147 is 1

GCD(897, 904, 147) = 1

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

GCD of

GCD of numbers 897, 904, 147 is 1

GCD(897, 904, 147) = 1

GCD of 897,904,147 Calculator

GCDof 897,904,147 is 1

Given Input numbers are 897, 904, 147

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

Divisors of 897

List of positive integer divisors of 897 that divides 897 without a remainder.

1, 3, 13, 23, 39, 69, 299, 897

Divisors of 904

List of positive integer divisors of 904 that divides 904 without a remainder.

1, 2, 4, 8, 113, 226, 452, 904

Divisors of 147

List of positive integer divisors of 147 that divides 147 without a remainder.

1, 3, 7, 21, 49, 147

Greatest Common Divisior

We found the divisors of 897, 904, 147 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 897, 904, 147 is 1.

Therefore, GCD of numbers 897, 904, 147 is 1

Finding GCD of 897, 904, 147 using Prime Factorization

Given Input Data is 897, 904, 147

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

Prime Factorization of 897 is 3 x 13 x 23

Prime Factorization of 904 is 2 x 2 x 2 x 113

Prime Factorization of 147 is 3 x 7 x 7

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

Finding GCD of 897, 904, 147 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(897, 904) = 810888

GCD(897, 904) = ( 897 x 904 ) / 810888

GCD(897, 904) = 810888 / 810888

GCD(897, 904) = 1


Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 147

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

LCM(1, 147) = 147

GCD(1, 147) = ( 1 x 147 ) / 147

GCD(1, 147) = 147 / 147

GCD(1, 147) = 1

GCD of 897, 904, 147 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 897, 904, 147

1. What is the GCD of 897, 904, 147?

GCD of 897, 904, 147 is 1


2. Where do I get the detailed procedure to find GCD of 897, 904, 147?

You can find a detailed procedure to find GCD of 897, 904, 147 on our page.


3. How to find GCD of 897, 904, 147 on a calculator?

You can find the GCD of 897, 904, 147 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.