Where do I get the detailed procedure to find GCD of 678, 398, 662?

You can find a detailed procedure to find GCD of 678, 398, 662 on our page.

How to find GCD of 678, 398, 662 on a calculator?

You can find the GCD of 678, 398, 662 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 678, 398, 662 Calculator

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

Online GCD Calculator is useful to find the GCD of 678, 398, 662 quickly. Get the easiest ways to solve the greatest common divisor of 678, 398, 662 i.e 2 in different methods as follows.

How to Find GCD of Numbers 678, 398, 662 with Factoring?

Given Input numbers are 678, 398, 662

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

Divisors of 678 :

The positive integer divisors of 678 that completely divides 678 are.

1, 2, 3, 6, 113, 226, 339, 678

Divisors of 398 :

The positive integer divisors of 398 that completely divides 398 are.

1, 2, 199, 398

Divisors of 662 :

The positive integer divisors of 662 that completely divides 662 are.

1, 2, 331, 662

GCD of numbers is the greatest common divisor

So, the GCD (678, 398, 662) = 2.

Find GCD of 678, 398, 662 using Prime Factorization

Given numbers are 678, 398, 662

The list of prime factors of all numbers are

Prime factors of 678 are 2 x 3 x 113

Prime factors of 398 are 2 x 199

Prime factors of 662 are 2 x 331

The highest common occurrence is 2¹

Therefore, GCD of 678, 398, 662 is 2.

Steps to Calculate GCD of 678, 398, 662 using LCM Formula

Given numbers are 678, 398, 662

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

Apply this formula for all numbers.

Step1:

LCM(678, 398) = 134922

GCD(678, 398) = ( 678 x 398 ) / 134922

= 678 / 398

= 678

Step2:

LCM(2, 662) = 662

GCD(2, 662) = ( 2 x 662 ) / 662

= 2 / 662

= 2

So, Greatest Common Divisor of 678, 398, 662 is 2

GCD of Numbers Calculation Examples

Here are some samples of GCD of Numbers calculations.

Greatest Common Divisor of 678, 398, 662

Given numbers are 678, 398, 662
The greatest common divisor of numbers 678, 398, 662 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 678, 398, 662 is 2.

FAQs on GCD of 678, 398, 662 Calculator

1. What is the GCD of 678, 398, 662?

GCD of given numbers 678, 398, 662 is 2

2. How to calculate the greatest common divisor of 678, 398, 662?

We can find the highest common divisor of 678, 398, 662 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 678, 398, 662 i.e 2.

3. How can I use the GCD of 678, 398, 662Calculator?

Out the numbers 678, 398, 662 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.