GCD of 202, 378, 896, 204 Calculator

Given Input numbers are 202, 378, 896, 204

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

Divisors of 202

List of positive integer divisors of 202 that divides 202 without a remainder.

1, 2, 101, 202

Divisors of 378

List of positive integer divisors of 378 that divides 378 without a remainder.

1, 2, 3, 6, 7, 9, 14, 18, 21, 27, 42, 54, 63, 126, 189, 378

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 204

List of positive integer divisors of 204 that divides 204 without a remainder.

1, 2, 3, 4, 6, 12, 17, 34, 51, 68, 102, 204

Greatest Common Divisior

We found the divisors of 202, 378, 896, 204 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 202, 378, 896, 204 is 2.

Therefore, GCD of numbers 202, 378, 896, 204 is 2

Given Input Data is 202, 378, 896, 204

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

Prime Factorization of 202 is 2 x 101

Prime Factorization of 378 is 2 x 3 x 3 x 3 x 7

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

Prime Factorization of 204 is 2 x 2 x 3 x 17

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(202, 378) = 38178

GCD(202, 378) = ( 202 x 378 ) / 38178

GCD(202, 378) = 76356 / 38178

GCD(202, 378) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 896

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

LCM(2, 896) = 896

GCD(2, 896) = ( 2 x 896 ) / 896

GCD(2, 896) = 1792 / 896

GCD(2, 896) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 204

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

LCM(2, 204) = 204

GCD(2, 204) = ( 2 x 204 ) / 204

GCD(2, 204) = 408 / 204

GCD(2, 204) = 2

GCD of 202, 378, 896, 204 is 2

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1. What is the GCD of 202, 378, 896, 204?

GCD of 202, 378, 896, 204 is 2

2. Where do I get the detailed procedure to find GCD of 202, 378, 896, 204?

You can find a detailed procedure to find GCD of 202, 378, 896, 204 on our page.

3. How to find GCD of 202, 378, 896, 204 on a calculator?

You can find the GCD of 202, 378, 896, 204 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.