GCD of 402, 828, 96 Calculator

Given Input numbers are 402, 828, 96

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 828

List of positive integer divisors of 828 that divides 828 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 23, 36, 46, 69, 92, 138, 207, 276, 414, 828

Divisors of 96

List of positive integer divisors of 96 that divides 96 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 96

Greatest Common Divisior

We found the divisors of 402, 828, 96 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 402, 828, 96 is 6.

Therefore, GCD of numbers 402, 828, 96 is 6

Given Input Data is 402, 828, 96

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 828 is 2 x 2 x 3 x 3 x 23

Prime Factorization of 96 is 2 x 2 x 2 x 2 x 2 x 3

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, 828) = 55476

GCD(402, 828) = ( 402 x 828 ) / 55476

GCD(402, 828) = 332856 / 55476

GCD(402, 828) = 6

Step2:

Here we consider the GCD from the above i.e. 6 as first number and the next as 96

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

LCM(6, 96) = 96

GCD(6, 96) = ( 6 x 96 ) / 96

GCD(6, 96) = 576 / 96

GCD(6, 96) = 6

GCD of 402, 828, 96 is 6

Here are some samples of GCD of Numbers calculations.

• GCD of 761, 209, 96
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• GCD of 391, 802, 23
• GCD of 493, 617, 87
• GCD of 200, 240, 67

1. What is the GCD of 402, 828, 96?

GCD of 402, 828, 96 is 6

2. Where do I get the detailed procedure to find GCD of 402, 828, 96?

You can find a detailed procedure to find GCD of 402, 828, 96 on our page.

3. How to find GCD of 402, 828, 96 on a calculator?

You can find the GCD of 402, 828, 96 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.