GCD of 992, 308, 92, 820 Calculator

Given Input numbers are 992, 308, 92, 820

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

Divisors of 992

List of positive integer divisors of 992 that divides 992 without a remainder.

1, 2, 4, 8, 16, 31, 32, 62, 124, 248, 496, 992

Divisors of 308

List of positive integer divisors of 308 that divides 308 without a remainder.

1, 2, 4, 7, 11, 14, 22, 28, 44, 77, 154, 308

Divisors of 92

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

1, 2, 4, 23, 46, 92

Divisors of 820

List of positive integer divisors of 820 that divides 820 without a remainder.

1, 2, 4, 5, 10, 20, 41, 82, 164, 205, 410, 820

Greatest Common Divisior

We found the divisors of 992, 308, 92, 820 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 992, 308, 92, 820 is 4.

Therefore, GCD of numbers 992, 308, 92, 820 is 4

Given Input Data is 992, 308, 92, 820

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

Prime Factorization of 992 is 2 x 2 x 2 x 2 x 2 x 31

Prime Factorization of 308 is 2 x 2 x 7 x 11

Prime Factorization of 92 is 2 x 2 x 23

Prime Factorization of 820 is 2 x 2 x 5 x 41

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(992, 308) = 76384

GCD(992, 308) = ( 992 x 308 ) / 76384

GCD(992, 308) = 305536 / 76384

GCD(992, 308) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 92

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

LCM(4, 92) = 92

GCD(4, 92) = ( 4 x 92 ) / 92

GCD(4, 92) = 368 / 92

GCD(4, 92) = 4

Step3:

Here we consider the GCD from the above i.e. 4 as first number and the next as 820

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

LCM(4, 820) = 820

GCD(4, 820) = ( 4 x 820 ) / 820

GCD(4, 820) = 3280 / 820

GCD(4, 820) = 4

GCD of 992, 308, 92, 820 is 4

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1. What is the GCD of 992, 308, 92, 820?

GCD of 992, 308, 92, 820 is 4

2. Where do I get the detailed procedure to find GCD of 992, 308, 92, 820?

You can find a detailed procedure to find GCD of 992, 308, 92, 820 on our page.

3. How to find GCD of 992, 308, 92, 820 on a calculator?

You can find the GCD of 992, 308, 92, 820 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.