GCD of 200, 154, 187, 802 Calculator

Given Input numbers are 200, 154, 187, 802

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 154

List of positive integer divisors of 154 that divides 154 without a remainder.

1, 2, 7, 11, 14, 22, 77, 154

Divisors of 187

List of positive integer divisors of 187 that divides 187 without a remainder.

1, 11, 17, 187

Divisors of 802

List of positive integer divisors of 802 that divides 802 without a remainder.

1, 2, 401, 802

Greatest Common Divisior

We found the divisors of 200, 154, 187, 802 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 200, 154, 187, 802 is 1.

Therefore, GCD of numbers 200, 154, 187, 802 is 1

Given Input Data is 200, 154, 187, 802

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 154 is 2 x 7 x 11

Prime Factorization of 187 is 11 x 17

Prime Factorization of 802 is 2 x 401

The above numbers do not have any common prime factor. So GCD is 1

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, 154) = 15400

GCD(200, 154) = ( 200 x 154 ) / 15400

GCD(200, 154) = 30800 / 15400

GCD(200, 154) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 187

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

LCM(2, 187) = 374

GCD(2, 187) = ( 2 x 187 ) / 374

GCD(2, 187) = 374 / 374

GCD(2, 187) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 802

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

LCM(1, 802) = 802

GCD(1, 802) = ( 1 x 802 ) / 802

GCD(1, 802) = 802 / 802

GCD(1, 802) = 1

GCD of 200, 154, 187, 802 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 734, 769, 154, 495
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• GCD of 125, 747, 796, 962

1. What is the GCD of 200, 154, 187, 802?

GCD of 200, 154, 187, 802 is 1

2. Where do I get the detailed procedure to find GCD of 200, 154, 187, 802?

You can find a detailed procedure to find GCD of 200, 154, 187, 802 on our page.

3. How to find GCD of 200, 154, 187, 802 on a calculator?

You can find the GCD of 200, 154, 187, 802 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.