GCD of 800, 824, 996, 690 Calculator

Given Input numbers are 800, 824, 996, 690

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

Divisors of 800

List of positive integer divisors of 800 that divides 800 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 25, 32, 40, 50, 80, 100, 160, 200, 400, 800

Divisors of 824

List of positive integer divisors of 824 that divides 824 without a remainder.

1, 2, 4, 8, 103, 206, 412, 824

Divisors of 996

List of positive integer divisors of 996 that divides 996 without a remainder.

1, 2, 3, 4, 6, 12, 83, 166, 249, 332, 498, 996

Divisors of 690

List of positive integer divisors of 690 that divides 690 without a remainder.

1, 2, 3, 5, 6, 10, 15, 23, 30, 46, 69, 115, 138, 230, 345, 690

Greatest Common Divisior

We found the divisors of 800, 824, 996, 690 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 800, 824, 996, 690 is 2.

Therefore, GCD of numbers 800, 824, 996, 690 is 2

Given Input Data is 800, 824, 996, 690

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

Prime Factorization of 800 is 2 x 2 x 2 x 2 x 2 x 5 x 5

Prime Factorization of 824 is 2 x 2 x 2 x 103

Prime Factorization of 996 is 2 x 2 x 3 x 83

Prime Factorization of 690 is 2 x 3 x 5 x 23

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(800, 824) = 82400

GCD(800, 824) = ( 800 x 824 ) / 82400

GCD(800, 824) = 659200 / 82400

GCD(800, 824) = 8

Step2:

Here we consider the GCD from the above i.e. 8 as first number and the next as 996

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

LCM(8, 996) = 1992

GCD(8, 996) = ( 8 x 996 ) / 1992

GCD(8, 996) = 7968 / 1992

GCD(8, 996) = 4

Step3:

Here we consider the GCD from the above i.e. 4 as first number and the next as 690

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

LCM(4, 690) = 1380

GCD(4, 690) = ( 4 x 690 ) / 1380

GCD(4, 690) = 2760 / 1380

GCD(4, 690) = 2

GCD of 800, 824, 996, 690 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 848, 313, 537, 644
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• GCD of 141, 666, 658, 689

1. What is the GCD of 800, 824, 996, 690?

GCD of 800, 824, 996, 690 is 2

2. Where do I get the detailed procedure to find GCD of 800, 824, 996, 690?

You can find a detailed procedure to find GCD of 800, 824, 996, 690 on our page.

3. How to find GCD of 800, 824, 996, 690 on a calculator?

You can find the GCD of 800, 824, 996, 690 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.