Where do I get the detailed procedure to find GCD of 555, 945, 390?

You can find a detailed procedure to find GCD of 555, 945, 390 on our page.

How to find GCD of 555, 945, 390 on a calculator?

You can find the GCD of 555, 945, 390 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 555, 945, 390 Calculator

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

Online GCD Calculator is useful to find the GCD of 555, 945, 390 quickly. Get the easiest ways to solve the greatest common divisor of 555, 945, 390 i.e 15 in different methods as follows.

How to Find GCD of Numbers 555, 945, 390 with Factoring?

Given Input numbers are 555, 945, 390

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

Divisors of 555 :

The positive integer divisors of 555 that completely divides 555 are.

1, 3, 5, 15, 37, 111, 185, 555

Divisors of 945 :

The positive integer divisors of 945 that completely divides 945 are.

1, 3, 5, 7, 9, 15, 21, 27, 35, 45, 63, 105, 135, 189, 315, 945

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

GCD of numbers is the greatest common divisor

So, the GCD (555, 945, 390) = 15.

Find GCD of 555, 945, 390 using Prime Factorization

Given numbers are 555, 945, 390

The list of prime factors of all numbers are

Prime factors of 555 are 3 x 5 x 37

Prime factors of 945 are 3 x 3 x 3 x 5 x 7

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

The highest common occurrence is 3¹ x 5¹

Therefore, GCD of 555, 945, 390 is 15.

Steps to Calculate GCD of 555, 945, 390 using LCM Formula

Given numbers are 555, 945, 390

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

Apply this formula for all numbers.

Step1:

LCM(555, 945) = 34965

GCD(555, 945) = ( 555 x 945 ) / 34965

= 555 / 945

= 555

Step2:

LCM(15, 390) = 390

GCD(15, 390) = ( 15 x 390 ) / 390

= 15 / 390

= 15

So, Greatest Common Divisor of 555, 945, 390 is 15

GCD of Numbers Calculation Examples

Here are some samples of GCD of Numbers calculations.

Greatest Common Divisor of 555, 945, 390

Given numbers are 555, 945, 390
The greatest common divisor of numbers 555, 945, 390 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 555, 945, 390 is 15.

FAQs on GCD of 555, 945, 390 Calculator

1. What is the GCD of 555, 945, 390?

GCD of given numbers 555, 945, 390 is 15

2. How to calculate the greatest common divisor of 555, 945, 390?

We can find the highest common divisor of 555, 945, 390 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 555, 945, 390 i.e 15.

3. How can I use the GCD of 555, 945, 390Calculator?

Out the numbers 555, 945, 390 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.