GCD of 840, 390, 396 Calculator

Given Input numbers are 840, 390, 396

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

Divisors of 840

List of positive integer divisors of 840 that divides 840 without a remainder.

1, 2, 3, 4, 5, 6, 7, 8, 10, 12, 14, 15, 20, 21, 24, 28, 30, 35, 40, 42, 56, 60, 70, 84, 105, 120, 140, 168, 210, 280, 420, 840

Divisors of 390

List of positive integer divisors of 390 that divides 390 without a remainder.

1, 2, 3, 5, 6, 10, 13, 15, 26, 30, 39, 65, 78, 130, 195, 390

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

Greatest Common Divisior

We found the divisors of 840, 390, 396 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 840, 390, 396 is 6.

Therefore, GCD of numbers 840, 390, 396 is 6

Given Input Data is 840, 390, 396

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

Prime Factorization of 840 is 2 x 2 x 2 x 3 x 5 x 7

Prime Factorization of 390 is 2 x 3 x 5 x 13

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

Highest common occurrences in the given inputs are 2¹ x 3¹

Multiplying them we get the GCD as 6

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(840, 390) = 10920

GCD(840, 390) = ( 840 x 390 ) / 10920

GCD(840, 390) = 327600 / 10920

GCD(840, 390) = 30

Step2:

Here we consider the GCD from the above i.e. 30 as first number and the next as 396

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

LCM(30, 396) = 1980

GCD(30, 396) = ( 30 x 396 ) / 1980

GCD(30, 396) = 11880 / 1980

GCD(30, 396) = 6

GCD of 840, 390, 396 is 6

Here are some samples of GCD of Numbers calculations.

• GCD of 752, 746, 596
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• GCD of 535, 255, 914
• GCD of 382, 486, 391
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1. What is the GCD of 840, 390, 396?

GCD of 840, 390, 396 is 6

2. Where do I get the detailed procedure to find GCD of 840, 390, 396?

You can find a detailed procedure to find GCD of 840, 390, 396 on our page.

3. How to find GCD of 840, 390, 396 on a calculator?

You can find the GCD of 840, 390, 396 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.