Where do I get the detailed procedure to find GCD of 228, 690, 402?

You can find a detailed procedure to find GCD of 228, 690, 402 on our page.

How to find GCD of 228, 690, 402 on a calculator?

You can find the GCD of 228, 690, 402 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 228, 690, 402 Calculator

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

Online GCD Calculator is useful to find the GCD of 228, 690, 402 quickly. Get the easiest ways to solve the greatest common divisor of 228, 690, 402 i.e 6 in different methods as follows.

How to Find GCD of Numbers 228, 690, 402 with Factoring?

Given Input numbers are 228, 690, 402

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

Divisors of 228 :

The positive integer divisors of 228 that completely divides 228 are.

1, 2, 3, 4, 6, 12, 19, 38, 57, 76, 114, 228

Divisors of 690 :

The positive integer divisors of 690 that completely divides 690 are.

1, 2, 3, 5, 6, 10, 15, 23, 30, 46, 69, 115, 138, 230, 345, 690

Divisors of 402 :

The positive integer divisors of 402 that completely divides 402 are.

1, 2, 3, 6, 67, 134, 201, 402

GCD of numbers is the greatest common divisor

So, the GCD (228, 690, 402) = 6.

Find GCD of 228, 690, 402 using Prime Factorization

Given numbers are 228, 690, 402

The list of prime factors of all numbers are

Prime factors of 228 are 2 x 2 x 3 x 19

Prime factors of 690 are 2 x 3 x 5 x 23

Prime factors of 402 are 2 x 3 x 67

The highest common occurrence is 2¹ x 3¹

Therefore, GCD of 228, 690, 402 is 6.

Steps to Calculate GCD of 228, 690, 402 using LCM Formula

Given numbers are 228, 690, 402

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

Apply this formula for all numbers.

Step1:

LCM(228, 690) = 26220

GCD(228, 690) = ( 228 x 690 ) / 26220

= 228 / 690

= 228

Step2:

LCM(6, 402) = 402

GCD(6, 402) = ( 6 x 402 ) / 402

= 6 / 402

= 6

So, Greatest Common Divisor of 228, 690, 402 is 6

GCD of Numbers Calculation Examples

Here are some samples of GCD of Numbers calculations.

Greatest Common Divisor of 228, 690, 402

Given numbers are 228, 690, 402
The greatest common divisor of numbers 228, 690, 402 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 228, 690, 402 is 6.

FAQs on GCD of 228, 690, 402 Calculator

1. What is the GCD of 228, 690, 402?

GCD of given numbers 228, 690, 402 is 6

2. How to calculate the greatest common divisor of 228, 690, 402?

We can find the highest common divisor of 228, 690, 402 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 228, 690, 402 i.e 6.

3. How can I use the GCD of 228, 690, 402Calculator?

Out the numbers 228, 690, 402 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.