Where do I get the detailed procedure to find GCD of 291, 117, 45?

You can find a detailed procedure to find GCD of 291, 117, 45 on our page.

How to find GCD of 291, 117, 45 on a calculator?

You can find the GCD of 291, 117, 45 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 291, 117, 45 Calculator

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

Online GCD Calculator is useful to find the GCD of 291, 117, 45 quickly. Get the easiest ways to solve the greatest common divisor of 291, 117, 45 i.e 3 in different methods as follows.

How to Find GCD of Numbers 291, 117, 45 with Factoring?

Given Input numbers are 291, 117, 45

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

Divisors of 291 :

The positive integer divisors of 291 that completely divides 291 are.

1, 3, 97, 291

Divisors of 117 :

The positive integer divisors of 117 that completely divides 117 are.

1, 3, 9, 13, 39, 117

Divisors of 45 :

The positive integer divisors of 45 that completely divides 45 are.

1, 3, 5, 9, 15, 45

GCD of numbers is the greatest common divisor

So, the GCD (291, 117, 45) = 3.

Find GCD of 291, 117, 45 using Prime Factorization

Given numbers are 291, 117, 45

The list of prime factors of all numbers are

Prime factors of 291 are 3 x 97

Prime factors of 117 are 3 x 3 x 13

Prime factors of 45 are 3 x 3 x 5

The highest common occurrence is 3¹

Therefore, GCD of 291, 117, 45 is 3.

Steps to Calculate GCD of 291, 117, 45 using LCM Formula

Given numbers are 291, 117, 45

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

Apply this formula for all numbers.

Step1:

LCM(291, 117) = 11349

GCD(291, 117) = ( 291 x 117 ) / 11349

= 291 / 117

= 291

Step2:

LCM(3, 45) = 45

GCD(3, 45) = ( 3 x 45 ) / 45

= 3 / 45

= 3

So, Greatest Common Divisor of 291, 117, 45 is 3

GCD of Numbers Calculation Examples

Here are some samples of GCD of Numbers calculations.

Greatest Common Divisor of 291, 117, 45

Given numbers are 291, 117, 45
The greatest common divisor of numbers 291, 117, 45 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 291, 117, 45 is 3.

FAQs on GCD of 291, 117, 45 Calculator

1. What is the GCD of 291, 117, 45?

GCD of given numbers 291, 117, 45 is 3

2. How to calculate the greatest common divisor of 291, 117, 45?

We can find the highest common divisor of 291, 117, 45 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 291, 117, 45 i.e 3.

3. How can I use the GCD of 291, 117, 45Calculator?

Out the numbers 291, 117, 45 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.