Where do I get the detailed procedure to find GCD of 858, 978, 291?

You can find a detailed procedure to find GCD of 858, 978, 291 on our page.

How to find GCD of 858, 978, 291 on a calculator?

You can find the GCD of 858, 978, 291 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 858, 978, 291 Calculator

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

Online GCD Calculator is useful to find the GCD of 858, 978, 291 quickly. Get the easiest ways to solve the greatest common divisor of 858, 978, 291 i.e 3 in different methods as follows.

How to Find GCD of Numbers 858, 978, 291 with Factoring?

Given Input numbers are 858, 978, 291

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

Divisors of 858 :

The positive integer divisors of 858 that completely divides 858 are.

1, 2, 3, 6, 11, 13, 22, 26, 33, 39, 66, 78, 143, 286, 429, 858

Divisors of 978 :

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

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

Divisors of 291 :

The positive integer divisors of 291 that completely divides 291 are.

1, 3, 97, 291

GCD of numbers is the greatest common divisor

So, the GCD (858, 978, 291) = 3.

Find GCD of 858, 978, 291 using Prime Factorization

Given numbers are 858, 978, 291

The list of prime factors of all numbers are

Prime factors of 858 are 2 x 3 x 11 x 13

Prime factors of 978 are 2 x 3 x 163

Prime factors of 291 are 3 x 97

The highest common occurrence is 3¹

Therefore, GCD of 858, 978, 291 is 3.

Steps to Calculate GCD of 858, 978, 291 using LCM Formula

Given numbers are 858, 978, 291

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

Apply this formula for all numbers.

Step1:

LCM(858, 978) = 139854

GCD(858, 978) = ( 858 x 978 ) / 139854

= 858 / 978

= 858

Step2:

LCM(6, 291) = 582

GCD(6, 291) = ( 6 x 291 ) / 582

= 6 / 291

= 6

So, Greatest Common Divisor of 858, 978, 291 is 3

GCD of Numbers Calculation Examples

Here are some samples of GCD of Numbers calculations.

Greatest Common Divisor of 858, 978, 291

Given numbers are 858, 978, 291
The greatest common divisor of numbers 858, 978, 291 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 858, 978, 291 is 3.

FAQs on GCD of 858, 978, 291 Calculator

1. What is the GCD of 858, 978, 291?

GCD of given numbers 858, 978, 291 is 3

2. How to calculate the greatest common divisor of 858, 978, 291?

We can find the highest common divisor of 858, 978, 291 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 858, 978, 291 i.e 3.

3. How can I use the GCD of 858, 978, 291Calculator?

Out the numbers 858, 978, 291 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.