Where do I get the detailed procedure to find GCD of 494, 741, 507?

You can find a detailed procedure to find GCD of 494, 741, 507 on our page.

How to find GCD of 494, 741, 507 on a calculator?

You can find the GCD of 494, 741, 507 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 494, 741, 507 Calculator

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

Online GCD Calculator is useful to find the GCD of 494, 741, 507 quickly. Get the easiest ways to solve the greatest common divisor of 494, 741, 507 i.e 13 in different methods as follows.

How to Find GCD of Numbers 494, 741, 507 with Factoring?

Given Input numbers are 494, 741, 507

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

Divisors of 494 :

The positive integer divisors of 494 that completely divides 494 are.

1, 2, 13, 19, 26, 38, 247, 494

Divisors of 741 :

The positive integer divisors of 741 that completely divides 741 are.

1, 3, 13, 19, 39, 57, 247, 741

Divisors of 507 :

The positive integer divisors of 507 that completely divides 507 are.

1, 3, 13, 39, 169, 507

GCD of numbers is the greatest common divisor

So, the GCD (494, 741, 507) = 13.

Find GCD of 494, 741, 507 using Prime Factorization

Given numbers are 494, 741, 507

The list of prime factors of all numbers are

Prime factors of 494 are 2 x 13 x 19

Prime factors of 741 are 3 x 13 x 19

Prime factors of 507 are 3 x 13 x 13

The highest common occurrence is 13¹

Therefore, GCD of 494, 741, 507 is 13.

Steps to Calculate GCD of 494, 741, 507 using LCM Formula

Given numbers are 494, 741, 507

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

Apply this formula for all numbers.

Step1:

LCM(494, 741) = 1482

GCD(494, 741) = ( 494 x 741 ) / 1482

= 494 / 741

= 494

Step2:

LCM(247, 507) = 9633

GCD(247, 507) = ( 247 x 507 ) / 9633

= 247 / 507

= 247

So, Greatest Common Divisor of 494, 741, 507 is 13

GCD of Numbers Calculation Examples

Here are some samples of GCD of Numbers calculations.

Greatest Common Divisor of 494, 741, 507

Given numbers are 494, 741, 507
The greatest common divisor of numbers 494, 741, 507 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 494, 741, 507 is 13.

FAQs on GCD of 494, 741, 507 Calculator

1. What is the GCD of 494, 741, 507?

GCD of given numbers 494, 741, 507 is 13

2. How to calculate the greatest common divisor of 494, 741, 507?

We can find the highest common divisor of 494, 741, 507 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 494, 741, 507 i.e 13.

3. How can I use the GCD of 494, 741, 507Calculator?

Out the numbers 494, 741, 507 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.