GCD of 810, 200, 14, 956 Calculator

Given Input numbers are 810, 200, 14, 956

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

Divisors of 810

List of positive integer divisors of 810 that divides 810 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 81, 90, 135, 162, 270, 405, 810

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 14

List of positive integer divisors of 14 that divides 14 without a remainder.

1, 2, 7, 14

Divisors of 956

List of positive integer divisors of 956 that divides 956 without a remainder.

1, 2, 4, 239, 478, 956

Greatest Common Divisior

We found the divisors of 810, 200, 14, 956 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 810, 200, 14, 956 is 2.

Therefore, GCD of numbers 810, 200, 14, 956 is 2

Given Input Data is 810, 200, 14, 956

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

Prime Factorization of 810 is 2 x 3 x 3 x 3 x 3 x 5

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

Prime Factorization of 14 is 2 x 7

Prime Factorization of 956 is 2 x 2 x 239

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(810, 200) = 16200

GCD(810, 200) = ( 810 x 200 ) / 16200

GCD(810, 200) = 162000 / 16200

GCD(810, 200) = 10

Step2:

Here we consider the GCD from the above i.e. 10 as first number and the next as 14

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

LCM(10, 14) = 70

GCD(10, 14) = ( 10 x 14 ) / 70

GCD(10, 14) = 140 / 70

GCD(10, 14) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 956

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

LCM(2, 956) = 956

GCD(2, 956) = ( 2 x 956 ) / 956

GCD(2, 956) = 1912 / 956

GCD(2, 956) = 2

GCD of 810, 200, 14, 956 is 2

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1. What is the GCD of 810, 200, 14, 956?

GCD of 810, 200, 14, 956 is 2

2. Where do I get the detailed procedure to find GCD of 810, 200, 14, 956?

You can find a detailed procedure to find GCD of 810, 200, 14, 956 on our page.

3. How to find GCD of 810, 200, 14, 956 on a calculator?

You can find the GCD of 810, 200, 14, 956 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.