Where do I get the detailed procedure to find GCD of 470, 870, 685?

You can find a detailed procedure to find GCD of 470, 870, 685 on our page.

How to find GCD of 470, 870, 685 on a calculator?

You can find the GCD of 470, 870, 685 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 470, 870, 685 Calculator

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

Online GCD Calculator is useful to find the GCD of 470, 870, 685 quickly. Get the easiest ways to solve the greatest common divisor of 470, 870, 685 i.e 5 in different methods as follows.

How to Find GCD of Numbers 470, 870, 685 with Factoring?

Given Input numbers are 470, 870, 685

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

Divisors of 470 :

The positive integer divisors of 470 that completely divides 470 are.

1, 2, 5, 10, 47, 94, 235, 470

Divisors of 870 :

The positive integer divisors of 870 that completely divides 870 are.

1, 2, 3, 5, 6, 10, 15, 29, 30, 58, 87, 145, 174, 290, 435, 870

Divisors of 685 :

The positive integer divisors of 685 that completely divides 685 are.

1, 5, 137, 685

GCD of numbers is the greatest common divisor

So, the GCD (470, 870, 685) = 5.

Find GCD of 470, 870, 685 using Prime Factorization

Given numbers are 470, 870, 685

The list of prime factors of all numbers are

Prime factors of 470 are 2 x 5 x 47

Prime factors of 870 are 2 x 3 x 5 x 29

Prime factors of 685 are 5 x 137

The highest common occurrence is 5¹

Therefore, GCD of 470, 870, 685 is 5.

Steps to Calculate GCD of 470, 870, 685 using LCM Formula

Given numbers are 470, 870, 685

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

Apply this formula for all numbers.

Step1:

LCM(470, 870) = 40890

GCD(470, 870) = ( 470 x 870 ) / 40890

= 470 / 870

= 470

Step2:

LCM(10, 685) = 1370

GCD(10, 685) = ( 10 x 685 ) / 1370

= 10 / 685

= 10

So, Greatest Common Divisor of 470, 870, 685 is 5

GCD of Numbers Calculation Examples

Here are some samples of GCD of Numbers calculations.

Greatest Common Divisor of 470, 870, 685

Given numbers are 470, 870, 685
The greatest common divisor of numbers 470, 870, 685 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 470, 870, 685 is 5.

FAQs on GCD of 470, 870, 685 Calculator

1. What is the GCD of 470, 870, 685?

GCD of given numbers 470, 870, 685 is 5

2. How to calculate the greatest common divisor of 470, 870, 685?

We can find the highest common divisor of 470, 870, 685 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 470, 870, 685 i.e 5.

3. How can I use the GCD of 470, 870, 685Calculator?

Out the numbers 470, 870, 685 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.