Where do I get the detailed procedure to find GCD of 680, 460, 510?

You can find a detailed procedure to find GCD of 680, 460, 510 on our page.

How to find GCD of 680, 460, 510 on a calculator?

You can find the GCD of 680, 460, 510 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 680, 460, 510 Calculator

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

Online GCD Calculator is useful to find the GCD of 680, 460, 510 quickly. Get the easiest ways to solve the greatest common divisor of 680, 460, 510 i.e 10 in different methods as follows.

How to Find GCD of Numbers 680, 460, 510 with Factoring?

Given Input numbers are 680, 460, 510

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

Divisors of 680 :

The positive integer divisors of 680 that completely divides 680 are.

1, 2, 4, 5, 8, 10, 17, 20, 34, 40, 68, 85, 136, 170, 340, 680

Divisors of 460 :

The positive integer divisors of 460 that completely divides 460 are.

1, 2, 4, 5, 10, 20, 23, 46, 92, 115, 230, 460

Divisors of 510 :

The positive integer divisors of 510 that completely divides 510 are.

1, 2, 3, 5, 6, 10, 15, 17, 30, 34, 51, 85, 102, 170, 255, 510

GCD of numbers is the greatest common divisor

So, the GCD (680, 460, 510) = 10.

Find GCD of 680, 460, 510 using Prime Factorization

Given numbers are 680, 460, 510

The list of prime factors of all numbers are

Prime factors of 680 are 2 x 2 x 2 x 5 x 17

Prime factors of 460 are 2 x 2 x 5 x 23

Prime factors of 510 are 2 x 3 x 5 x 17

The highest common occurrence is 2¹ x 5¹

Therefore, GCD of 680, 460, 510 is 10.

Steps to Calculate GCD of 680, 460, 510 using LCM Formula

Given numbers are 680, 460, 510

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

Apply this formula for all numbers.

Step1:

LCM(680, 460) = 15640

GCD(680, 460) = ( 680 x 460 ) / 15640

= 680 / 460

= 680

Step2:

LCM(20, 510) = 1020

GCD(20, 510) = ( 20 x 510 ) / 1020

= 20 / 510

= 20

So, Greatest Common Divisor of 680, 460, 510 is 10

GCD of Numbers Calculation Examples

Here are some samples of GCD of Numbers calculations.

Greatest Common Divisor of 680, 460, 510

Given numbers are 680, 460, 510
The greatest common divisor of numbers 680, 460, 510 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 680, 460, 510 is 10.

FAQs on GCD of 680, 460, 510 Calculator

1. What is the GCD of 680, 460, 510?

GCD of given numbers 680, 460, 510 is 10

2. How to calculate the greatest common divisor of 680, 460, 510?

We can find the highest common divisor of 680, 460, 510 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 680, 460, 510 i.e 10.

3. How can I use the GCD of 680, 460, 510Calculator?

Out the numbers 680, 460, 510 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.