Where do I get the detailed procedure to find GCD of 442, 538, 146?

You can find a detailed procedure to find GCD of 442, 538, 146 on our page.

How to find GCD of 442, 538, 146 on a calculator?

You can find the GCD of 442, 538, 146 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 442, 538, 146 Calculator

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

Online GCD Calculator is useful to find the GCD of 442, 538, 146 quickly. Get the easiest ways to solve the greatest common divisor of 442, 538, 146 i.e 2 in different methods as follows.

How to Find GCD of Numbers 442, 538, 146 with Factoring?

Given Input numbers are 442, 538, 146

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

Divisors of 442 :

The positive integer divisors of 442 that completely divides 442 are.

1, 2, 13, 17, 26, 34, 221, 442

Divisors of 538 :

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

1, 2, 269, 538

Divisors of 146 :

The positive integer divisors of 146 that completely divides 146 are.

1, 2, 73, 146

GCD of numbers is the greatest common divisor

So, the GCD (442, 538, 146) = 2.

Find GCD of 442, 538, 146 using Prime Factorization

Given numbers are 442, 538, 146

The list of prime factors of all numbers are

Prime factors of 442 are 2 x 13 x 17

Prime factors of 538 are 2 x 269

Prime factors of 146 are 2 x 73

The highest common occurrence is 2¹

Therefore, GCD of 442, 538, 146 is 2.

Steps to Calculate GCD of 442, 538, 146 using LCM Formula

Given numbers are 442, 538, 146

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

Apply this formula for all numbers.

Step1:

LCM(442, 538) = 118898

GCD(442, 538) = ( 442 x 538 ) / 118898

= 442 / 538

= 442

Step2:

LCM(2, 146) = 146

GCD(2, 146) = ( 2 x 146 ) / 146

= 2 / 146

= 2

So, Greatest Common Divisor of 442, 538, 146 is 2

GCD of Numbers Calculation Examples

Here are some samples of GCD of Numbers calculations.

Greatest Common Divisor of 442, 538, 146

Given numbers are 442, 538, 146
The greatest common divisor of numbers 442, 538, 146 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 442, 538, 146 is 2.

FAQs on GCD of 442, 538, 146 Calculator

1. What is the GCD of 442, 538, 146?

GCD of given numbers 442, 538, 146 is 2

2. How to calculate the greatest common divisor of 442, 538, 146?

We can find the highest common divisor of 442, 538, 146 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 442, 538, 146 i.e 2.

3. How can I use the GCD of 442, 538, 146Calculator?

Out the numbers 442, 538, 146 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.