Where do I get the detailed procedure to find GCD of 426, 990, 30?

You can find a detailed procedure to find GCD of 426, 990, 30 on our page.

How to find GCD of 426, 990, 30 on a calculator?

You can find the GCD of 426, 990, 30 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 426, 990, 30 Calculator

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

Online GCD Calculator is useful to find the GCD of 426, 990, 30 quickly. Get the easiest ways to solve the greatest common divisor of 426, 990, 30 i.e 6 in different methods as follows.

How to Find GCD of Numbers 426, 990, 30 with Factoring?

Given Input numbers are 426, 990, 30

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

Divisors of 426 :

The positive integer divisors of 426 that completely divides 426 are.

1, 2, 3, 6, 71, 142, 213, 426

Divisors of 990 :

The positive integer divisors of 990 that completely divides 990 are.

1, 2, 3, 5, 6, 9, 10, 11, 15, 18, 22, 30, 33, 45, 55, 66, 90, 99, 110, 165, 198, 330, 495, 990

Divisors of 30 :

The positive integer divisors of 30 that completely divides 30 are.

1, 2, 3, 5, 6, 10, 15, 30

GCD of numbers is the greatest common divisor

So, the GCD (426, 990, 30) = 6.

Find GCD of 426, 990, 30 using Prime Factorization

Given numbers are 426, 990, 30

The list of prime factors of all numbers are

Prime factors of 426 are 2 x 3 x 71

Prime factors of 990 are 2 x 3 x 3 x 5 x 11

Prime factors of 30 are 2 x 3 x 5

The highest common occurrence is 2¹ x 3¹

Therefore, GCD of 426, 990, 30 is 6.

Steps to Calculate GCD of 426, 990, 30 using LCM Formula

Given numbers are 426, 990, 30

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

Apply this formula for all numbers.

Step1:

LCM(426, 990) = 70290

GCD(426, 990) = ( 426 x 990 ) / 70290

= 426 / 990

= 426

Step2:

LCM(6, 30) = 30

GCD(6, 30) = ( 6 x 30 ) / 30

= 6 / 30

= 6

So, Greatest Common Divisor of 426, 990, 30 is 6

GCD of Numbers Calculation Examples

Here are some samples of GCD of Numbers calculations.

Greatest Common Divisor of 426, 990, 30

Given numbers are 426, 990, 30
The greatest common divisor of numbers 426, 990, 30 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 426, 990, 30 is 6.

FAQs on GCD of 426, 990, 30 Calculator

1. What is the GCD of 426, 990, 30?

GCD of given numbers 426, 990, 30 is 6

2. How to calculate the greatest common divisor of 426, 990, 30?

We can find the highest common divisor of 426, 990, 30 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 426, 990, 30 i.e 6.

3. How can I use the GCD of 426, 990, 30Calculator?

Out the numbers 426, 990, 30 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.