GCD of 805, 200, 799, 956 Calculator

Given Input numbers are 805, 200, 799, 956

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

Divisors of 805

List of positive integer divisors of 805 that divides 805 without a remainder.

1, 5, 7, 23, 35, 115, 161, 805

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 799

List of positive integer divisors of 799 that divides 799 without a remainder.

1, 17, 47, 799

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 805, 200, 799, 956 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 805, 200, 799, 956 is 1.

Therefore, GCD of numbers 805, 200, 799, 956 is 1

Given Input Data is 805, 200, 799, 956

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

Prime Factorization of 805 is 5 x 7 x 23

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

Prime Factorization of 799 is 17 x 47

Prime Factorization of 956 is 2 x 2 x 239

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(805, 200) = 32200

GCD(805, 200) = ( 805 x 200 ) / 32200

GCD(805, 200) = 161000 / 32200

GCD(805, 200) = 5

Step2:

Here we consider the GCD from the above i.e. 5 as first number and the next as 799

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

LCM(5, 799) = 3995

GCD(5, 799) = ( 5 x 799 ) / 3995

GCD(5, 799) = 3995 / 3995

GCD(5, 799) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 956

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

LCM(1, 956) = 956

GCD(1, 956) = ( 1 x 956 ) / 956

GCD(1, 956) = 956 / 956

GCD(1, 956) = 1

GCD of 805, 200, 799, 956 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 129, 285, 511, 528
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• GCD of 668, 777, 110, 807

1. What is the GCD of 805, 200, 799, 956?

GCD of 805, 200, 799, 956 is 1

2. Where do I get the detailed procedure to find GCD of 805, 200, 799, 956?

You can find a detailed procedure to find GCD of 805, 200, 799, 956 on our page.

3. How to find GCD of 805, 200, 799, 956 on a calculator?

You can find the GCD of 805, 200, 799, 956 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.