Where do I get the detailed procedure to find GCD of 261, 969, 741?

You can find a detailed procedure to find GCD of 261, 969, 741 on our page.

How to find GCD of 261, 969, 741 on a calculator?

You can find the GCD of 261, 969, 741 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, 969, 741 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, 969, 741 quickly. Get the easiest ways to solve the greatest common divisor of 261, 969, 741 i.e 3 in different methods as follows.

How to Find GCD of Numbers 261, 969, 741 with Factoring?

Given Input numbers are 261, 969, 741

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 969 :

The positive integer divisors of 969 that completely divides 969 are.

1, 3, 17, 19, 51, 57, 323, 969

Divisors of 741 :

The positive integer divisors of 741 that completely divides 741 are.

1, 3, 13, 19, 39, 57, 247, 741

GCD of numbers is the greatest common divisor

So, the GCD (261, 969, 741) = 3.

Find GCD of 261, 969, 741 using Prime Factorization

Given numbers are 261, 969, 741

The list of prime factors of all numbers are

Prime factors of 261 are 3 x 3 x 29

Prime factors of 969 are 3 x 17 x 19

Prime factors of 741 are 3 x 13 x 19

The highest common occurrence is 3¹

Therefore, GCD of 261, 969, 741 is 3.

Steps to Calculate GCD of 261, 969, 741 using LCM Formula

Given numbers are 261, 969, 741

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

Apply this formula for all numbers.

Step1:

LCM(261, 969) = 84303

GCD(261, 969) = ( 261 x 969 ) / 84303

= 261 / 969

= 261

Step2:

LCM(3, 741) = 741

GCD(3, 741) = ( 3 x 741 ) / 741

= 3 / 741

= 3

So, Greatest Common Divisor of 261, 969, 741 is 3

GCD of Numbers Calculation Examples

Here are some samples of GCD of Numbers calculations.

Greatest Common Divisor of 261, 969, 741

Given numbers are 261, 969, 741
The greatest common divisor of numbers 261, 969, 741 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 261, 969, 741 is 3.

FAQs on GCD of 261, 969, 741 Calculator

1. What is the GCD of 261, 969, 741?

GCD of given numbers 261, 969, 741 is 3

2. How to calculate the greatest common divisor of 261, 969, 741?

We can find the highest common divisor of 261, 969, 741 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, 969, 741 i.e 3.

3. How can I use the GCD of 261, 969, 741Calculator?

Out the numbers 261, 969, 741 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.