Where do I get the detailed procedure to find GCD of 492, 724, 109?

You can find a detailed procedure to find GCD of 492, 724, 109 on our page.

How to find GCD of 492, 724, 109 on a calculator?

You can find the GCD of 492, 724, 109 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 492, 724, 109 Calculator

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

Online GCD Calculator is useful to find the GCD of 492, 724, 109 quickly. Get the easiest ways to solve the greatest common divisor of 492, 724, 109 i.e 1 in different methods as follows.

How to Find GCD of Numbers 492, 724, 109 with Factoring?

Given Input numbers are 492, 724, 109

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

Divisors of 492 :

The positive integer divisors of 492 that completely divides 492 are.

1, 2, 3, 4, 6, 12, 41, 82, 123, 164, 246, 492

Divisors of 724 :

The positive integer divisors of 724 that completely divides 724 are.

1, 2, 4, 181, 362, 724

Divisors of 109 :

The positive integer divisors of 109 that completely divides 109 are.

1, 109

GCD of numbers is the greatest common divisor

So, the GCD (492, 724, 109) = 1.

Find GCD of 492, 724, 109 using Prime Factorization

Given numbers are 492, 724, 109

The list of prime factors of all numbers are

Prime factors of 492 are 2 x 2 x 3 x 41

Prime factors of 724 are 2 x 2 x 181

Prime factors of 109 are 109

The above numbers do not have any common prime factor. So GCD is 1

Steps to Calculate GCD of 492, 724, 109 using LCM Formula

Given numbers are 492, 724, 109

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

Apply this formula for all numbers.

Step1:

LCM(492, 724) = 89052

GCD(492, 724) = ( 492 x 724 ) / 89052

= 492 / 724

= 492

Step2:

LCM(4, 109) = 436

GCD(4, 109) = ( 4 x 109 ) / 436

= 4 / 109

= 4

So, Greatest Common Divisor of 492, 724, 109 is 1

GCD of Numbers Calculation Examples

Here are some samples of GCD of Numbers calculations.

Greatest Common Divisor of 492, 724, 109

Given numbers are 492, 724, 109
The greatest common divisor of numbers 492, 724, 109 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 492, 724, 109 is 1.

FAQs on GCD of 492, 724, 109 Calculator

1. What is the GCD of 492, 724, 109?

GCD of given numbers 492, 724, 109 is 1

2. How to calculate the greatest common divisor of 492, 724, 109?

We can find the highest common divisor of 492, 724, 109 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 492, 724, 109 i.e 1.

3. How can I use the GCD of 492, 724, 109Calculator?

Out the numbers 492, 724, 109 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.