Where do I get the detailed procedure to find GCD of 462, 308, 682?

You can find a detailed procedure to find GCD of 462, 308, 682 on our page.

How to find GCD of 462, 308, 682 on a calculator?

You can find the GCD of 462, 308, 682 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 462, 308, 682 Calculator

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

Online GCD Calculator is useful to find the GCD of 462, 308, 682 quickly. Get the easiest ways to solve the greatest common divisor of 462, 308, 682 i.e 22 in different methods as follows.

How to Find GCD of Numbers 462, 308, 682 with Factoring?

Given Input numbers are 462, 308, 682

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

Divisors of 462 :

The positive integer divisors of 462 that completely divides 462 are.

1, 2, 3, 6, 7, 11, 14, 21, 22, 33, 42, 66, 77, 154, 231, 462

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

Divisors of 682 :

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

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

GCD of numbers is the greatest common divisor

So, the GCD (462, 308, 682) = 22.

Find GCD of 462, 308, 682 using Prime Factorization

Given numbers are 462, 308, 682

The list of prime factors of all numbers are

Prime factors of 462 are 2 x 3 x 7 x 11

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

Prime factors of 682 are 2 x 11 x 31

The highest common occurrence is 11¹ x 2¹

Therefore, GCD of 462, 308, 682 is 22.

Steps to Calculate GCD of 462, 308, 682 using LCM Formula

Given numbers are 462, 308, 682

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

Apply this formula for all numbers.

Step1:

LCM(462, 308) = 924

GCD(462, 308) = ( 462 x 308 ) / 924

= 462 / 308

= 462

Step2:

LCM(154, 682) = 4774

GCD(154, 682) = ( 154 x 682 ) / 4774

= 154 / 682

= 154

So, Greatest Common Divisor of 462, 308, 682 is 22

GCD of Numbers Calculation Examples

Here are some samples of GCD of Numbers calculations.

Greatest Common Divisor of 462, 308, 682

Given numbers are 462, 308, 682
The greatest common divisor of numbers 462, 308, 682 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 462, 308, 682 is 22.

FAQs on GCD of 462, 308, 682 Calculator

1. What is the GCD of 462, 308, 682?

GCD of given numbers 462, 308, 682 is 22

2. How to calculate the greatest common divisor of 462, 308, 682?

We can find the highest common divisor of 462, 308, 682 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 462, 308, 682 i.e 22.

3. How can I use the GCD of 462, 308, 682Calculator?

Out the numbers 462, 308, 682 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.