GCD of 808, 344, 156, 402 Calculator

Given Input numbers are 808, 344, 156, 402

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

Divisors of 808

List of positive integer divisors of 808 that divides 808 without a remainder.

1, 2, 4, 8, 101, 202, 404, 808

Divisors of 344

List of positive integer divisors of 344 that divides 344 without a remainder.

1, 2, 4, 8, 43, 86, 172, 344

Divisors of 156

List of positive integer divisors of 156 that divides 156 without a remainder.

1, 2, 3, 4, 6, 12, 13, 26, 39, 52, 78, 156

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 808, 344, 156, 402 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 808, 344, 156, 402 is 2.

Therefore, GCD of numbers 808, 344, 156, 402 is 2

Given Input Data is 808, 344, 156, 402

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

Prime Factorization of 808 is 2 x 2 x 2 x 101

Prime Factorization of 344 is 2 x 2 x 2 x 43

Prime Factorization of 156 is 2 x 2 x 3 x 13

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(808, 344) = 34744

GCD(808, 344) = ( 808 x 344 ) / 34744

GCD(808, 344) = 277952 / 34744

GCD(808, 344) = 8

Step2:

Here we consider the GCD from the above i.e. 8 as first number and the next as 156

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

LCM(8, 156) = 312

GCD(8, 156) = ( 8 x 156 ) / 312

GCD(8, 156) = 1248 / 312

GCD(8, 156) = 4

Step3:

Here we consider the GCD from the above i.e. 4 as first number and the next as 402

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

LCM(4, 402) = 804

GCD(4, 402) = ( 4 x 402 ) / 804

GCD(4, 402) = 1608 / 804

GCD(4, 402) = 2

GCD of 808, 344, 156, 402 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 298, 173, 950, 664
• GCD of 228, 883, 408, 807
• GCD of 922, 314, 846, 545
• GCD of 411, 596, 837, 559
• GCD of 924, 374, 825, 874

1. What is the GCD of 808, 344, 156, 402?

GCD of 808, 344, 156, 402 is 2

2. Where do I get the detailed procedure to find GCD of 808, 344, 156, 402?

You can find a detailed procedure to find GCD of 808, 344, 156, 402 on our page.

3. How to find GCD of 808, 344, 156, 402 on a calculator?

You can find the GCD of 808, 344, 156, 402 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.