GCD of 396, 957, 618 Calculator

Given Input numbers are 396, 957, 618

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

Divisors of 396

List of positive integer divisors of 396 that divides 396 without a remainder.

1, 2, 3, 4, 6, 9, 11, 12, 18, 22, 33, 36, 44, 66, 99, 132, 198, 396

Divisors of 957

List of positive integer divisors of 957 that divides 957 without a remainder.

1, 3, 11, 29, 33, 87, 319, 957

Divisors of 618

List of positive integer divisors of 618 that divides 618 without a remainder.

1, 2, 3, 6, 103, 206, 309, 618

Greatest Common Divisior

We found the divisors of 396, 957, 618 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 396, 957, 618 is 3.

Therefore, GCD of numbers 396, 957, 618 is 3

Given Input Data is 396, 957, 618

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

Prime Factorization of 396 is 2 x 2 x 3 x 3 x 11

Prime Factorization of 957 is 3 x 11 x 29

Prime Factorization of 618 is 2 x 3 x 103

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(396, 957) = 11484

GCD(396, 957) = ( 396 x 957 ) / 11484

GCD(396, 957) = 378972 / 11484

GCD(396, 957) = 33

Step2:

Here we consider the GCD from the above i.e. 33 as first number and the next as 618

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

LCM(33, 618) = 6798

GCD(33, 618) = ( 33 x 618 ) / 6798

GCD(33, 618) = 20394 / 6798

GCD(33, 618) = 3

GCD of 396, 957, 618 is 3

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1. What is the GCD of 396, 957, 618?

GCD of 396, 957, 618 is 3

2. Where do I get the detailed procedure to find GCD of 396, 957, 618?

You can find a detailed procedure to find GCD of 396, 957, 618 on our page.

3. How to find GCD of 396, 957, 618 on a calculator?

You can find the GCD of 396, 957, 618 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.