Where do I get the detailed procedure to find GCD of 234, 690, 354?

You can find a detailed procedure to find GCD of 234, 690, 354 on our page.

How to find GCD of 234, 690, 354 on a calculator?

You can find the GCD of 234, 690, 354 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 234, 690, 354 Calculator

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

Online GCD Calculator is useful to find the GCD of 234, 690, 354 quickly. Get the easiest ways to solve the greatest common divisor of 234, 690, 354 i.e 6 in different methods as follows.

How to Find GCD of Numbers 234, 690, 354 with Factoring?

Given Input numbers are 234, 690, 354

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

Divisors of 234 :

The positive integer divisors of 234 that completely divides 234 are.

1, 2, 3, 6, 9, 13, 18, 26, 39, 78, 117, 234

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 354 :

The positive integer divisors of 354 that completely divides 354 are.

1, 2, 3, 6, 59, 118, 177, 354

GCD of numbers is the greatest common divisor

So, the GCD (234, 690, 354) = 6.

Find GCD of 234, 690, 354 using Prime Factorization

Given numbers are 234, 690, 354

The list of prime factors of all numbers are

Prime factors of 234 are 2 x 3 x 3 x 13

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

Prime factors of 354 are 2 x 3 x 59

The highest common occurrence is 2¹ x 3¹

Therefore, GCD of 234, 690, 354 is 6.

Steps to Calculate GCD of 234, 690, 354 using LCM Formula

Given numbers are 234, 690, 354

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

Apply this formula for all numbers.

Step1:

LCM(234, 690) = 26910

GCD(234, 690) = ( 234 x 690 ) / 26910

= 234 / 690

= 234

Step2:

LCM(6, 354) = 354

GCD(6, 354) = ( 6 x 354 ) / 354

= 6 / 354

= 6

So, Greatest Common Divisor of 234, 690, 354 is 6

GCD of Numbers Calculation Examples

Here are some samples of GCD of Numbers calculations.

Greatest Common Divisor of 234, 690, 354

Given numbers are 234, 690, 354
The greatest common divisor of numbers 234, 690, 354 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 234, 690, 354 is 6.

FAQs on GCD of 234, 690, 354 Calculator

1. What is the GCD of 234, 690, 354?

GCD of given numbers 234, 690, 354 is 6

2. How to calculate the greatest common divisor of 234, 690, 354?

We can find the highest common divisor of 234, 690, 354 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 234, 690, 354 i.e 6.

3. How can I use the GCD of 234, 690, 354Calculator?

Out the numbers 234, 690, 354 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.