GCD of 402, 352, 28, 284 Calculator

Given Input numbers are 402, 352, 28, 284

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 352

List of positive integer divisors of 352 that divides 352 without a remainder.

1, 2, 4, 8, 11, 16, 22, 32, 44, 88, 176, 352

Divisors of 28

List of positive integer divisors of 28 that divides 28 without a remainder.

1, 2, 4, 7, 14, 28

Divisors of 284

List of positive integer divisors of 284 that divides 284 without a remainder.

1, 2, 4, 71, 142, 284

Greatest Common Divisior

We found the divisors of 402, 352, 28, 284 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 402, 352, 28, 284 is 2.

Therefore, GCD of numbers 402, 352, 28, 284 is 2

Given Input Data is 402, 352, 28, 284

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 352 is 2 x 2 x 2 x 2 x 2 x 11

Prime Factorization of 28 is 2 x 2 x 7

Prime Factorization of 284 is 2 x 2 x 71

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(402, 352) = 70752

GCD(402, 352) = ( 402 x 352 ) / 70752

GCD(402, 352) = 141504 / 70752

GCD(402, 352) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 28

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

LCM(2, 28) = 28

GCD(2, 28) = ( 2 x 28 ) / 28

GCD(2, 28) = 56 / 28

GCD(2, 28) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 284

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

LCM(2, 284) = 284

GCD(2, 284) = ( 2 x 284 ) / 284

GCD(2, 284) = 568 / 284

GCD(2, 284) = 2

GCD of 402, 352, 28, 284 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 857, 109, 73, 541
• GCD of 295, 423, 74, 409
• GCD of 102, 371, 49, 947
• GCD of 150, 175, 56, 609
• GCD of 401, 404, 65, 177

1. What is the GCD of 402, 352, 28, 284?

GCD of 402, 352, 28, 284 is 2

2. Where do I get the detailed procedure to find GCD of 402, 352, 28, 284?

You can find a detailed procedure to find GCD of 402, 352, 28, 284 on our page.

3. How to find GCD of 402, 352, 28, 284 on a calculator?

You can find the GCD of 402, 352, 28, 284 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.