Where do I get the detailed procedure to find GCD of 261, 897, 60?

You can find a detailed procedure to find GCD of 261, 897, 60 on our page.

How to find GCD of 261, 897, 60 on a calculator?

You can find the GCD of 261, 897, 60 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 261, 897, 60 Calculator

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

Online GCD Calculator is useful to find the GCD of 261, 897, 60 quickly. Get the easiest ways to solve the greatest common divisor of 261, 897, 60 i.e 3 in different methods as follows.

How to Find GCD of Numbers 261, 897, 60 with Factoring?

Given Input numbers are 261, 897, 60

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

Divisors of 261 :

The positive integer divisors of 261 that completely divides 261 are.

1, 3, 9, 29, 87, 261

Divisors of 897 :

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

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

Divisors of 60 :

The positive integer divisors of 60 that completely divides 60 are.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60

GCD of numbers is the greatest common divisor

So, the GCD (261, 897, 60) = 3.

Find GCD of 261, 897, 60 using Prime Factorization

Given numbers are 261, 897, 60

The list of prime factors of all numbers are

Prime factors of 261 are 3 x 3 x 29

Prime factors of 897 are 3 x 13 x 23

Prime factors of 60 are 2 x 2 x 3 x 5

The highest common occurrence is 3¹

Therefore, GCD of 261, 897, 60 is 3.

Steps to Calculate GCD of 261, 897, 60 using LCM Formula

Given numbers are 261, 897, 60

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

Apply this formula for all numbers.

Step1:

LCM(261, 897) = 78039

GCD(261, 897) = ( 261 x 897 ) / 78039

= 261 / 897

= 261

Step2:

LCM(3, 60) = 60

GCD(3, 60) = ( 3 x 60 ) / 60

= 3 / 60

= 3

So, Greatest Common Divisor of 261, 897, 60 is 3

GCD of Numbers Calculation Examples

Here are some samples of GCD of Numbers calculations.

Greatest Common Divisor of 261, 897, 60

Given numbers are 261, 897, 60
The greatest common divisor of numbers 261, 897, 60 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 261, 897, 60 is 3.

FAQs on GCD of 261, 897, 60 Calculator

1. What is the GCD of 261, 897, 60?

GCD of given numbers 261, 897, 60 is 3

2. How to calculate the greatest common divisor of 261, 897, 60?

We can find the highest common divisor of 261, 897, 60 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 261, 897, 60 i.e 3.

3. How can I use the GCD of 261, 897, 60Calculator?

Out the numbers 261, 897, 60 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.