GCD of 150, 200, 866, 798 Calculator

Given Input numbers are 150, 200, 866, 798

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

Divisors of 150

List of positive integer divisors of 150 that divides 150 without a remainder.

1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 150

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 866

List of positive integer divisors of 866 that divides 866 without a remainder.

1, 2, 433, 866

Divisors of 798

List of positive integer divisors of 798 that divides 798 without a remainder.

1, 2, 3, 6, 7, 14, 19, 21, 38, 42, 57, 114, 133, 266, 399, 798

Greatest Common Divisior

We found the divisors of 150, 200, 866, 798 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 150, 200, 866, 798 is 2.

Therefore, GCD of numbers 150, 200, 866, 798 is 2

Given Input Data is 150, 200, 866, 798

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

Prime Factorization of 150 is 2 x 3 x 5 x 5

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

Prime Factorization of 866 is 2 x 433

Prime Factorization of 798 is 2 x 3 x 7 x 19

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(150, 200) = 600

GCD(150, 200) = ( 150 x 200 ) / 600

GCD(150, 200) = 30000 / 600

GCD(150, 200) = 50

Step2:

Here we consider the GCD from the above i.e. 50 as first number and the next as 866

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

LCM(50, 866) = 21650

GCD(50, 866) = ( 50 x 866 ) / 21650

GCD(50, 866) = 43300 / 21650

GCD(50, 866) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 798

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

LCM(2, 798) = 798

GCD(2, 798) = ( 2 x 798 ) / 798

GCD(2, 798) = 1596 / 798

GCD(2, 798) = 2

GCD of 150, 200, 866, 798 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 224, 303, 910, 956
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• GCD of 645, 294, 324, 813

1. What is the GCD of 150, 200, 866, 798?

GCD of 150, 200, 866, 798 is 2

2. Where do I get the detailed procedure to find GCD of 150, 200, 866, 798?

You can find a detailed procedure to find GCD of 150, 200, 866, 798 on our page.

3. How to find GCD of 150, 200, 866, 798 on a calculator?

You can find the GCD of 150, 200, 866, 798 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.