Where do I get the detailed procedure to find GCD of 390, 915, 54?

You can find a detailed procedure to find GCD of 390, 915, 54 on our page.

How to find GCD of 390, 915, 54 on a calculator?

You can find the GCD of 390, 915, 54 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 390, 915, 54 Calculator

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

Online GCD Calculator is useful to find the GCD of 390, 915, 54 quickly. Get the easiest ways to solve the greatest common divisor of 390, 915, 54 i.e 3 in different methods as follows.

How to Find GCD of Numbers 390, 915, 54 with Factoring?

Given Input numbers are 390, 915, 54

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

Divisors of 390 :

The positive integer divisors of 390 that completely divides 390 are.

1, 2, 3, 5, 6, 10, 13, 15, 26, 30, 39, 65, 78, 130, 195, 390

Divisors of 915 :

The positive integer divisors of 915 that completely divides 915 are.

1, 3, 5, 15, 61, 183, 305, 915

Divisors of 54 :

The positive integer divisors of 54 that completely divides 54 are.

1, 2, 3, 6, 9, 18, 27, 54

GCD of numbers is the greatest common divisor

So, the GCD (390, 915, 54) = 3.

Find GCD of 390, 915, 54 using Prime Factorization

Given numbers are 390, 915, 54

The list of prime factors of all numbers are

Prime factors of 390 are 2 x 3 x 5 x 13

Prime factors of 915 are 3 x 5 x 61

Prime factors of 54 are 2 x 3 x 3 x 3

The highest common occurrence is 3¹

Therefore, GCD of 390, 915, 54 is 3.

Steps to Calculate GCD of 390, 915, 54 using LCM Formula

Given numbers are 390, 915, 54

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

Apply this formula for all numbers.

Step1:

LCM(390, 915) = 23790

GCD(390, 915) = ( 390 x 915 ) / 23790

= 390 / 915

= 390

Step2:

LCM(15, 54) = 270

GCD(15, 54) = ( 15 x 54 ) / 270

= 15 / 54

= 15

So, Greatest Common Divisor of 390, 915, 54 is 3

GCD of Numbers Calculation Examples

Here are some samples of GCD of Numbers calculations.

Greatest Common Divisor of 390, 915, 54

Given numbers are 390, 915, 54
The greatest common divisor of numbers 390, 915, 54 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 390, 915, 54 is 3.

FAQs on GCD of 390, 915, 54 Calculator

1. What is the GCD of 390, 915, 54?

GCD of given numbers 390, 915, 54 is 3

2. How to calculate the greatest common divisor of 390, 915, 54?

We can find the highest common divisor of 390, 915, 54 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 390, 915, 54 i.e 3.

3. How can I use the GCD of 390, 915, 54Calculator?

Out the numbers 390, 915, 54 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.