Where do I get the detailed procedure to find GCD of 682, 209, 308?

You can find a detailed procedure to find GCD of 682, 209, 308 on our page.

How to find GCD of 682, 209, 308 on a calculator?

You can find the GCD of 682, 209, 308 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 682, 209, 308 Calculator

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

Online GCD Calculator is useful to find the GCD of 682, 209, 308 quickly. Get the easiest ways to solve the greatest common divisor of 682, 209, 308 i.e 11 in different methods as follows.

How to Find GCD of Numbers 682, 209, 308 with Factoring?

Given Input numbers are 682, 209, 308

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

Divisors of 682 :

The positive integer divisors of 682 that completely divides 682 are.

1, 2, 11, 22, 31, 62, 341, 682

Divisors of 209 :

The positive integer divisors of 209 that completely divides 209 are.

1, 11, 19, 209

Divisors of 308 :

The positive integer divisors of 308 that completely divides 308 are.

1, 2, 4, 7, 11, 14, 22, 28, 44, 77, 154, 308

GCD of numbers is the greatest common divisor

So, the GCD (682, 209, 308) = 11.

Find GCD of 682, 209, 308 using Prime Factorization

Given numbers are 682, 209, 308

The list of prime factors of all numbers are

Prime factors of 682 are 2 x 11 x 31

Prime factors of 209 are 11 x 19

Prime factors of 308 are 2 x 2 x 7 x 11

The highest common occurrence is 11¹

Therefore, GCD of 682, 209, 308 is 11.

Steps to Calculate GCD of 682, 209, 308 using LCM Formula

Given numbers are 682, 209, 308

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

Apply this formula for all numbers.

Step1:

LCM(682, 209) = 12958

GCD(682, 209) = ( 682 x 209 ) / 12958

= 682 / 209

= 682

Step2:

LCM(11, 308) = 308

GCD(11, 308) = ( 11 x 308 ) / 308

= 11 / 308

= 11

So, Greatest Common Divisor of 682, 209, 308 is 11

GCD of Numbers Calculation Examples

Here are some samples of GCD of Numbers calculations.

Greatest Common Divisor of 682, 209, 308

Given numbers are 682, 209, 308
The greatest common divisor of numbers 682, 209, 308 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 682, 209, 308 is 11.

FAQs on GCD of 682, 209, 308 Calculator

1. What is the GCD of 682, 209, 308?

GCD of given numbers 682, 209, 308 is 11

2. How to calculate the greatest common divisor of 682, 209, 308?

We can find the highest common divisor of 682, 209, 308 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 682, 209, 308 i.e 11.

3. How can I use the GCD of 682, 209, 308Calculator?

Out the numbers 682, 209, 308 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.