Where do I get the detailed procedure to find GCD of 273, 759, 897?

You can find a detailed procedure to find GCD of 273, 759, 897 on our page.

How to find GCD of 273, 759, 897 on a calculator?

You can find the GCD of 273, 759, 897 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.

GCD of 273, 759, 897 Calculator

Created By : Veerendra
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023

Online GCD Calculator is useful to find the GCD of 273, 759, 897 quickly. Get the easiest ways to solve the greatest common divisor of 273, 759, 897 i.e 3 in different methods as follows.

How to Find GCD of Numbers 273, 759, 897 with Factoring?

Given Input numbers are 273, 759, 897

In the factoring method, we have to find the divisors of all numbers

Divisors of 273 :

The positive integer divisors of 273 that completely divides 273 are.

1, 3, 7, 13, 21, 39, 91, 273

Divisors of 759 :

The positive integer divisors of 759 that completely divides 759 are.

1, 3, 11, 23, 33, 69, 253, 759

Divisors of 897 :

The positive integer divisors of 897 that completely divides 897 are.

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

GCD of numbers is the greatest common divisor

So, the GCD (273, 759, 897) = 3.

Find GCD of 273, 759, 897 using Prime Factorization

Given numbers are 273, 759, 897

The list of prime factors of all numbers are

Prime factors of 273 are 3 x 7 x 13

Prime factors of 759 are 3 x 11 x 23

Prime factors of 897 are 3 x 13 x 23

The highest common occurrence is 3¹

Therefore, GCD of 273, 759, 897 is 3.

Steps to Calculate GCD of 273, 759, 897 using LCM Formula

Given numbers are 273, 759, 897

GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)

Apply this formula for all numbers.

Step1:

LCM(273, 759) = 69069

GCD(273, 759) = ( 273 x 759 ) / 69069

= 273 / 759

= 273

Step2:

LCM(3, 897) = 897

GCD(3, 897) = ( 3 x 897 ) / 897

= 3 / 897

= 3

So, Greatest Common Divisor of 273, 759, 897 is 3

GCD of Numbers Calculation Examples

Here are some samples of GCD of Numbers calculations.

Greatest Common Divisor of 273, 759, 897

Given numbers are 273, 759, 897
The greatest common divisor of numbers 273, 759, 897 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 273, 759, 897 is 3.

FAQs on GCD of 273, 759, 897 Calculator

1. What is the GCD of 273, 759, 897?

GCD of given numbers 273, 759, 897 is 3

2. How to calculate the greatest common divisor of 273, 759, 897?

We can find the highest common divisor of 273, 759, 897 easily using the prime factorization method. Just list the prime factors of all numbers and pick the highest common factor which is the GCD of 273, 759, 897 i.e 3.

3. How can I use the GCD of 273, 759, 897Calculator?

Out the numbers 273, 759, 897 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.