GCD of 978, 393, 858 Calculator

Given Input numbers are 978, 393, 858

To find the GCD of numbers using factoring list out all the divisors of each number

Divisors of 978

List of positive integer divisors of 978 that divides 978 without a remainder.

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

Divisors of 393

List of positive integer divisors of 393 that divides 393 without a remainder.

1, 3, 131, 393

Divisors of 858

List of positive integer divisors of 858 that divides 858 without a remainder.

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

Greatest Common Divisior

We found the divisors of 978, 393, 858 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 978, 393, 858 is 3.

Therefore, GCD of numbers 978, 393, 858 is 3

Given Input Data is 978, 393, 858

Make a list of Prime Factors of all the given numbers initially

Prime Factorization of 978 is 2 x 3 x 163

Prime Factorization of 393 is 3 x 131

Prime Factorization of 858 is 2 x 3 x 11 x 13

Highest common occurrences in the given inputs are 3¹

Multiplying them we get the GCD as 3

Step1:

Let's calculate the GCD of first two numbers

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

LCM(978, 393) = 128118

GCD(978, 393) = ( 978 x 393 ) / 128118

GCD(978, 393) = 384354 / 128118

GCD(978, 393) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 858

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

LCM(3, 858) = 858

GCD(3, 858) = ( 3 x 858 ) / 858

GCD(3, 858) = 2574 / 858

GCD(3, 858) = 3

GCD of 978, 393, 858 is 3

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1. What is the GCD of 978, 393, 858?

GCD of 978, 393, 858 is 3

2. Where do I get the detailed procedure to find GCD of 978, 393, 858?

You can find a detailed procedure to find GCD of 978, 393, 858 on our page.

3. How to find GCD of 978, 393, 858 on a calculator?

You can find the GCD of 978, 393, 858 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.