Where do I get the detailed procedure to find GCD of 870, 978, 918?

You can find a detailed procedure to find GCD of 870, 978, 918 on our page.

How to find GCD of 870, 978, 918 on a calculator?

You can find the GCD of 870, 978, 918 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 870, 978, 918 Calculator

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

Online GCD Calculator is useful to find the GCD of 870, 978, 918 quickly. Get the easiest ways to solve the greatest common divisor of 870, 978, 918 i.e 6 in different methods as follows.

How to Find GCD of Numbers 870, 978, 918 with Factoring?

Given Input numbers are 870, 978, 918

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

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 978 :

The positive integer divisors of 978 that completely divides 978 are.

1, 2, 3, 6, 163, 326, 489, 978

Divisors of 918 :

The positive integer divisors of 918 that completely divides 918 are.

1, 2, 3, 6, 9, 17, 18, 27, 34, 51, 54, 102, 153, 306, 459, 918

GCD of numbers is the greatest common divisor

So, the GCD (870, 978, 918) = 6.

Find GCD of 870, 978, 918 using Prime Factorization

Given numbers are 870, 978, 918

The list of prime factors of all numbers are

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

Prime factors of 978 are 2 x 3 x 163

Prime factors of 918 are 2 x 3 x 3 x 3 x 17

The highest common occurrence is 2¹ x 3¹

Therefore, GCD of 870, 978, 918 is 6.

Steps to Calculate GCD of 870, 978, 918 using LCM Formula

Given numbers are 870, 978, 918

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

Apply this formula for all numbers.

Step1:

LCM(870, 978) = 141810

GCD(870, 978) = ( 870 x 978 ) / 141810

= 870 / 978

= 870

Step2:

LCM(6, 918) = 918

GCD(6, 918) = ( 6 x 918 ) / 918

= 6 / 918

= 6

So, Greatest Common Divisor of 870, 978, 918 is 6

GCD of Numbers Calculation Examples

Here are some samples of GCD of Numbers calculations.

Greatest Common Divisor of 870, 978, 918

Given numbers are 870, 978, 918
The greatest common divisor of numbers 870, 978, 918 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 870, 978, 918 is 6.

FAQs on GCD of 870, 978, 918 Calculator

1. What is the GCD of 870, 978, 918?

GCD of given numbers 870, 978, 918 is 6

2. How to calculate the greatest common divisor of 870, 978, 918?

We can find the highest common divisor of 870, 978, 918 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 870, 978, 918 i.e 6.

3. How can I use the GCD of 870, 978, 918Calculator?

Out the numbers 870, 978, 918 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.