Where do I get the detailed procedure to find GCD of 654, 918, 538?

You can find a detailed procedure to find GCD of 654, 918, 538 on our page.

How to find GCD of 654, 918, 538 on a calculator?

You can find the GCD of 654, 918, 538 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 654, 918, 538 Calculator

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

Online GCD Calculator is useful to find the GCD of 654, 918, 538 quickly. Get the easiest ways to solve the greatest common divisor of 654, 918, 538 i.e 2 in different methods as follows.

How to Find GCD of Numbers 654, 918, 538 with Factoring?

Given Input numbers are 654, 918, 538

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

Divisors of 654 :

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

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

Divisors of 918 :

The positive integer divisors of 918 that completely divides 918 are.

1, 2, 3, 6, 9, 17, 18, 27, 34, 51, 54, 102, 153, 306, 459, 918

Divisors of 538 :

The positive integer divisors of 538 that completely divides 538 are.

1, 2, 269, 538

GCD of numbers is the greatest common divisor

So, the GCD (654, 918, 538) = 2.

Find GCD of 654, 918, 538 using Prime Factorization

Given numbers are 654, 918, 538

The list of prime factors of all numbers are

Prime factors of 654 are 2 x 3 x 109

Prime factors of 918 are 2 x 3 x 3 x 3 x 17

Prime factors of 538 are 2 x 269

The highest common occurrence is 2¹

Therefore, GCD of 654, 918, 538 is 2.

Steps to Calculate GCD of 654, 918, 538 using LCM Formula

Given numbers are 654, 918, 538

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

Apply this formula for all numbers.

Step1:

LCM(654, 918) = 100062

GCD(654, 918) = ( 654 x 918 ) / 100062

= 654 / 918

= 654

Step2:

LCM(6, 538) = 1614

GCD(6, 538) = ( 6 x 538 ) / 1614

= 6 / 538

= 6

So, Greatest Common Divisor of 654, 918, 538 is 2

GCD of Numbers Calculation Examples

Here are some samples of GCD of Numbers calculations.

Greatest Common Divisor of 654, 918, 538

Given numbers are 654, 918, 538
The greatest common divisor of numbers 654, 918, 538 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 654, 918, 538 is 2.

FAQs on GCD of 654, 918, 538 Calculator

1. What is the GCD of 654, 918, 538?

GCD of given numbers 654, 918, 538 is 2

2. How to calculate the greatest common divisor of 654, 918, 538?

We can find the highest common divisor of 654, 918, 538 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 654, 918, 538 i.e 2.

3. How can I use the GCD of 654, 918, 538Calculator?

Out the numbers 654, 918, 538 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.