GCD of 897, 195, 74 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, 195, 74 i.e. 1 largest integer that divides all the numbers equally.

GCD of 897, 195, 74 is 1

GCD(897, 195, 74) = 1

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

GCD of

GCD of numbers 897, 195, 74 is 1

GCD(897, 195, 74) = 1

GCD of 897,195,74 Calculator

GCDof 897,195,74 is 1

Given Input numbers are 897, 195, 74

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 195

List of positive integer divisors of 195 that divides 195 without a remainder.

1, 3, 5, 13, 15, 39, 65, 195

Divisors of 74

List of positive integer divisors of 74 that divides 74 without a remainder.

1, 2, 37, 74

Greatest Common Divisior

We found the divisors of 897, 195, 74 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 897, 195, 74 is 1.

Therefore, GCD of numbers 897, 195, 74 is 1

Finding GCD of 897, 195, 74 using Prime Factorization

Given Input Data is 897, 195, 74

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 195 is 3 x 5 x 13

Prime Factorization of 74 is 2 x 37

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

Finding GCD of 897, 195, 74 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, 195) = 4485

GCD(897, 195) = ( 897 x 195 ) / 4485

GCD(897, 195) = 174915 / 4485

GCD(897, 195) = 39

Step2:

Here we consider the GCD from the above i.e. 39 as first number and the next as 74

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

LCM(39, 74) = 2886

GCD(39, 74) = ( 39 x 74 ) / 2886

GCD(39, 74) = 2886 / 2886

GCD(39, 74) = 1

GCD of 897, 195, 74 is 1

GCD of Numbers Calculation Examples

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FAQs on GCD of numbers 897, 195, 74

1. What is the GCD of 897, 195, 74?

GCD of 897, 195, 74 is 1

2. Where do I get the detailed procedure to find GCD of 897, 195, 74?

You can find a detailed procedure to find GCD of 897, 195, 74 on our page.

3. How to find GCD of 897, 195, 74 on a calculator?

You can find the GCD of 897, 195, 74 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.