GCD of 92, 800, 616, 824 Calculator

Given Input numbers are 92, 800, 616, 824

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

Divisors of 92

List of positive integer divisors of 92 that divides 92 without a remainder.

1, 2, 4, 23, 46, 92

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 616

List of positive integer divisors of 616 that divides 616 without a remainder.

1, 2, 4, 7, 8, 11, 14, 22, 28, 44, 56, 77, 88, 154, 308, 616

Divisors of 824

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

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

Greatest Common Divisior

We found the divisors of 92, 800, 616, 824 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 92, 800, 616, 824 is 4.

Therefore, GCD of numbers 92, 800, 616, 824 is 4

Given Input Data is 92, 800, 616, 824

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

Prime Factorization of 92 is 2 x 2 x 23

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

Prime Factorization of 616 is 2 x 2 x 2 x 7 x 11

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

Highest common occurrences in the given inputs are 2²

Multiplying them we get the GCD as 4

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(92, 800) = 18400

GCD(92, 800) = ( 92 x 800 ) / 18400

GCD(92, 800) = 73600 / 18400

GCD(92, 800) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 616

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

LCM(4, 616) = 616

GCD(4, 616) = ( 4 x 616 ) / 616

GCD(4, 616) = 2464 / 616

GCD(4, 616) = 4

Step3:

Here we consider the GCD from the above i.e. 4 as first number and the next as 824

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

LCM(4, 824) = 824

GCD(4, 824) = ( 4 x 824 ) / 824

GCD(4, 824) = 3296 / 824

GCD(4, 824) = 4

GCD of 92, 800, 616, 824 is 4

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1. What is the GCD of 92, 800, 616, 824?

GCD of 92, 800, 616, 824 is 4

2. Where do I get the detailed procedure to find GCD of 92, 800, 616, 824?

You can find a detailed procedure to find GCD of 92, 800, 616, 824 on our page.

3. How to find GCD of 92, 800, 616, 824 on a calculator?

You can find the GCD of 92, 800, 616, 824 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.