GCD of 396, 387, 66, 261 Calculator

Given Input numbers are 396, 387, 66, 261

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 387

List of positive integer divisors of 387 that divides 387 without a remainder.

1, 3, 9, 43, 129, 387

Divisors of 66

List of positive integer divisors of 66 that divides 66 without a remainder.

1, 2, 3, 6, 11, 22, 33, 66

Divisors of 261

List of positive integer divisors of 261 that divides 261 without a remainder.

1, 3, 9, 29, 87, 261

Greatest Common Divisior

We found the divisors of 396, 387, 66, 261 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 396, 387, 66, 261 is 3.

Therefore, GCD of numbers 396, 387, 66, 261 is 3

Given Input Data is 396, 387, 66, 261

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 387 is 3 x 3 x 43

Prime Factorization of 66 is 2 x 3 x 11

Prime Factorization of 261 is 3 x 3 x 29

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, 387) = 17028

GCD(396, 387) = ( 396 x 387 ) / 17028

GCD(396, 387) = 153252 / 17028

GCD(396, 387) = 9

Step2:

Here we consider the GCD from the above i.e. 9 as first number and the next as 66

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

LCM(9, 66) = 198

GCD(9, 66) = ( 9 x 66 ) / 198

GCD(9, 66) = 594 / 198

GCD(9, 66) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 261

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

LCM(3, 261) = 261

GCD(3, 261) = ( 3 x 261 ) / 261

GCD(3, 261) = 783 / 261

GCD(3, 261) = 3

GCD of 396, 387, 66, 261 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 299, 269, 69, 735
• GCD of 561, 647, 49, 206
• GCD of 221, 263, 86, 631
• GCD of 650, 702, 89, 516
• GCD of 396, 946, 31, 538

1. What is the GCD of 396, 387, 66, 261?

GCD of 396, 387, 66, 261 is 3

2. Where do I get the detailed procedure to find GCD of 396, 387, 66, 261?

You can find a detailed procedure to find GCD of 396, 387, 66, 261 on our page.

3. How to find GCD of 396, 387, 66, 261 on a calculator?

You can find the GCD of 396, 387, 66, 261 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.