GCD of 200, 142, 192, 384 Calculator

Given Input numbers are 200, 142, 192, 384

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

Divisors of 200

List of positive integer divisors of 200 that divides 200 without a remainder.

1, 2, 4, 5, 8, 10, 20, 25, 40, 50, 100, 200

Divisors of 142

List of positive integer divisors of 142 that divides 142 without a remainder.

1, 2, 71, 142

Divisors of 192

List of positive integer divisors of 192 that divides 192 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 192

Divisors of 384

List of positive integer divisors of 384 that divides 384 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 384

Greatest Common Divisior

We found the divisors of 200, 142, 192, 384 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 200, 142, 192, 384 is 2.

Therefore, GCD of numbers 200, 142, 192, 384 is 2

Given Input Data is 200, 142, 192, 384

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

Prime Factorization of 200 is 2 x 2 x 2 x 5 x 5

Prime Factorization of 142 is 2 x 71

Prime Factorization of 192 is 2 x 2 x 2 x 2 x 2 x 2 x 3

Prime Factorization of 384 is 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3

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(200, 142) = 14200

GCD(200, 142) = ( 200 x 142 ) / 14200

GCD(200, 142) = 28400 / 14200

GCD(200, 142) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 192

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

LCM(2, 192) = 192

GCD(2, 192) = ( 2 x 192 ) / 192

GCD(2, 192) = 384 / 192

GCD(2, 192) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 384

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

LCM(2, 384) = 384

GCD(2, 384) = ( 2 x 384 ) / 384

GCD(2, 384) = 768 / 384

GCD(2, 384) = 2

GCD of 200, 142, 192, 384 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 105, 484, 372, 323
• GCD of 632, 598, 933, 371
• GCD of 273, 200, 491, 355
• GCD of 980, 955, 452, 359
• GCD of 839, 952, 239, 187

1. What is the GCD of 200, 142, 192, 384?

GCD of 200, 142, 192, 384 is 2

2. Where do I get the detailed procedure to find GCD of 200, 142, 192, 384?

You can find a detailed procedure to find GCD of 200, 142, 192, 384 on our page.

3. How to find GCD of 200, 142, 192, 384 on a calculator?

You can find the GCD of 200, 142, 192, 384 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.