Where do I get the detailed procedure to find GCD of 270, 618, 654?

You can find a detailed procedure to find GCD of 270, 618, 654 on our page.

How to find GCD of 270, 618, 654 on a calculator?

You can find the GCD of 270, 618, 654 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 270, 618, 654 Calculator

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

Online GCD Calculator is useful to find the GCD of 270, 618, 654 quickly. Get the easiest ways to solve the greatest common divisor of 270, 618, 654 i.e 6 in different methods as follows.

How to Find GCD of Numbers 270, 618, 654 with Factoring?

Given Input numbers are 270, 618, 654

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

Divisors of 270 :

The positive integer divisors of 270 that completely divides 270 are.

1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 90, 135, 270

Divisors of 618 :

The positive integer divisors of 618 that completely divides 618 are.

1, 2, 3, 6, 103, 206, 309, 618

Divisors of 654 :

The positive integer divisors of 654 that completely divides 654 are.

1, 2, 3, 6, 109, 218, 327, 654

GCD of numbers is the greatest common divisor

So, the GCD (270, 618, 654) = 6.

Find GCD of 270, 618, 654 using Prime Factorization

Given numbers are 270, 618, 654

The list of prime factors of all numbers are

Prime factors of 270 are 2 x 3 x 3 x 3 x 5

Prime factors of 618 are 2 x 3 x 103

Prime factors of 654 are 2 x 3 x 109

The highest common occurrence is 2¹ x 3¹

Therefore, GCD of 270, 618, 654 is 6.

Steps to Calculate GCD of 270, 618, 654 using LCM Formula

Given numbers are 270, 618, 654

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

Apply this formula for all numbers.

Step1:

LCM(270, 618) = 27810

GCD(270, 618) = ( 270 x 618 ) / 27810

= 270 / 618

= 270

Step2:

LCM(6, 654) = 654

GCD(6, 654) = ( 6 x 654 ) / 654

= 6 / 654

= 6

So, Greatest Common Divisor of 270, 618, 654 is 6

GCD of Numbers Calculation Examples

Here are some samples of GCD of Numbers calculations.

Greatest Common Divisor of 270, 618, 654

Given numbers are 270, 618, 654
The greatest common divisor of numbers 270, 618, 654 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 270, 618, 654 is 6.

FAQs on GCD of 270, 618, 654 Calculator

1. What is the GCD of 270, 618, 654?

GCD of given numbers 270, 618, 654 is 6

2. How to calculate the greatest common divisor of 270, 618, 654?

We can find the highest common divisor of 270, 618, 654 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 270, 618, 654 i.e 6.

3. How can I use the GCD of 270, 618, 654Calculator?

Out the numbers 270, 618, 654 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.