GCD of 402, 810, 984 Calculator

Given Input numbers are 402, 810, 984

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

Divisors of 402

List of positive integer divisors of 402 that divides 402 without a remainder.

1, 2, 3, 6, 67, 134, 201, 402

Divisors of 810

List of positive integer divisors of 810 that divides 810 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 81, 90, 135, 162, 270, 405, 810

Divisors of 984

List of positive integer divisors of 984 that divides 984 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 41, 82, 123, 164, 246, 328, 492, 984

Greatest Common Divisior

We found the divisors of 402, 810, 984 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 402, 810, 984 is 6.

Therefore, GCD of numbers 402, 810, 984 is 6

Given Input Data is 402, 810, 984

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

Prime Factorization of 402 is 2 x 3 x 67

Prime Factorization of 810 is 2 x 3 x 3 x 3 x 3 x 5

Prime Factorization of 984 is 2 x 2 x 2 x 3 x 41

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(402, 810) = 54270

GCD(402, 810) = ( 402 x 810 ) / 54270

GCD(402, 810) = 325620 / 54270

GCD(402, 810) = 6

Step2:

Here we consider the GCD from the above i.e. 6 as first number and the next as 984

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

LCM(6, 984) = 984

GCD(6, 984) = ( 6 x 984 ) / 984

GCD(6, 984) = 5904 / 984

GCD(6, 984) = 6

GCD of 402, 810, 984 is 6

Here are some samples of GCD of Numbers calculations.

• GCD of 145, 331, 910
• GCD of 333, 413, 762
• GCD of 183, 542, 334
• GCD of 548, 523, 709
• GCD of 497, 391, 788

1. What is the GCD of 402, 810, 984?

GCD of 402, 810, 984 is 6

2. Where do I get the detailed procedure to find GCD of 402, 810, 984?

You can find a detailed procedure to find GCD of 402, 810, 984 on our page.

3. How to find GCD of 402, 810, 984 on a calculator?

You can find the GCD of 402, 810, 984 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.