GCD of 896, 318, 402 Calculator

Given Input numbers are 896, 318, 402

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

Divisors of 896

List of positive integer divisors of 896 that divides 896 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 128, 224, 448, 896

Divisors of 318

List of positive integer divisors of 318 that divides 318 without a remainder.

1, 2, 3, 6, 53, 106, 159, 318

Divisors of 402

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

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

Greatest Common Divisior

We found the divisors of 896, 318, 402 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 896, 318, 402 is 2.

Therefore, GCD of numbers 896, 318, 402 is 2

Given Input Data is 896, 318, 402

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

Prime Factorization of 896 is 2 x 2 x 2 x 2 x 2 x 2 x 2 x 7

Prime Factorization of 318 is 2 x 3 x 53

Prime Factorization of 402 is 2 x 3 x 67

Highest common occurrences in the given inputs are 2¹

Multiplying them we get the GCD as 2

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(896, 318) = 142464

GCD(896, 318) = ( 896 x 318 ) / 142464

GCD(896, 318) = 284928 / 142464

GCD(896, 318) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 402

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

LCM(2, 402) = 402

GCD(2, 402) = ( 2 x 402 ) / 402

GCD(2, 402) = 804 / 402

GCD(2, 402) = 2

GCD of 896, 318, 402 is 2

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1. What is the GCD of 896, 318, 402?

GCD of 896, 318, 402 is 2

2. Where do I get the detailed procedure to find GCD of 896, 318, 402?

You can find a detailed procedure to find GCD of 896, 318, 402 on our page.

3. How to find GCD of 896, 318, 402 on a calculator?

You can find the GCD of 896, 318, 402 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.