GCD of 284, 158, 16, 200 Calculator

Given Input numbers are 284, 158, 16, 200

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

Divisors of 284

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

1, 2, 4, 71, 142, 284

Divisors of 158

List of positive integer divisors of 158 that divides 158 without a remainder.

1, 2, 79, 158

Divisors of 16

List of positive integer divisors of 16 that divides 16 without a remainder.

1, 2, 4, 8, 16

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

Greatest Common Divisior

We found the divisors of 284, 158, 16, 200 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 284, 158, 16, 200 is 2.

Therefore, GCD of numbers 284, 158, 16, 200 is 2

Given Input Data is 284, 158, 16, 200

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

Prime Factorization of 284 is 2 x 2 x 71

Prime Factorization of 158 is 2 x 79

Prime Factorization of 16 is 2 x 2 x 2 x 2

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

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(284, 158) = 22436

GCD(284, 158) = ( 284 x 158 ) / 22436

GCD(284, 158) = 44872 / 22436

GCD(284, 158) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 16

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

LCM(2, 16) = 16

GCD(2, 16) = ( 2 x 16 ) / 16

GCD(2, 16) = 32 / 16

GCD(2, 16) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 200

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

LCM(2, 200) = 200

GCD(2, 200) = ( 2 x 200 ) / 200

GCD(2, 200) = 400 / 200

GCD(2, 200) = 2

GCD of 284, 158, 16, 200 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 255, 263, 15, 906
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• GCD of 328, 643, 10, 890
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• GCD of 786, 373, 15, 890

1. What is the GCD of 284, 158, 16, 200?

GCD of 284, 158, 16, 200 is 2

2. Where do I get the detailed procedure to find GCD of 284, 158, 16, 200?

You can find a detailed procedure to find GCD of 284, 158, 16, 200 on our page.

3. How to find GCD of 284, 158, 16, 200 on a calculator?

You can find the GCD of 284, 158, 16, 200 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.