GCD of 820, 812, 992, 208 Calculator

Given Input numbers are 820, 812, 992, 208

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

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

Divisors of 812

List of positive integer divisors of 812 that divides 812 without a remainder.

1, 2, 4, 7, 14, 28, 29, 58, 116, 203, 406, 812

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 208

List of positive integer divisors of 208 that divides 208 without a remainder.

1, 2, 4, 8, 13, 16, 26, 52, 104, 208

Greatest Common Divisior

We found the divisors of 820, 812, 992, 208 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 820, 812, 992, 208 is 4.

Therefore, GCD of numbers 820, 812, 992, 208 is 4

Given Input Data is 820, 812, 992, 208

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

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

Prime Factorization of 812 is 2 x 2 x 7 x 29

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

Prime Factorization of 208 is 2 x 2 x 2 x 2 x 13

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(820, 812) = 166460

GCD(820, 812) = ( 820 x 812 ) / 166460

GCD(820, 812) = 665840 / 166460

GCD(820, 812) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 992

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

LCM(4, 992) = 992

GCD(4, 992) = ( 4 x 992 ) / 992

GCD(4, 992) = 3968 / 992

GCD(4, 992) = 4

Step3:

Here we consider the GCD from the above i.e. 4 as first number and the next as 208

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

LCM(4, 208) = 208

GCD(4, 208) = ( 4 x 208 ) / 208

GCD(4, 208) = 832 / 208

GCD(4, 208) = 4

GCD of 820, 812, 992, 208 is 4

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1. What is the GCD of 820, 812, 992, 208?

GCD of 820, 812, 992, 208 is 4

2. Where do I get the detailed procedure to find GCD of 820, 812, 992, 208?

You can find a detailed procedure to find GCD of 820, 812, 992, 208 on our page.

3. How to find GCD of 820, 812, 992, 208 on a calculator?

You can find the GCD of 820, 812, 992, 208 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.