GCD of 792, 994, 886, 448 Calculator

Given Input numbers are 792, 994, 886, 448

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

Divisors of 792

List of positive integer divisors of 792 that divides 792 without a remainder.

1, 2, 3, 4, 6, 8, 9, 11, 12, 18, 22, 24, 33, 36, 44, 66, 72, 88, 99, 132, 198, 264, 396, 792

Divisors of 994

List of positive integer divisors of 994 that divides 994 without a remainder.

1, 2, 7, 14, 71, 142, 497, 994

Divisors of 886

List of positive integer divisors of 886 that divides 886 without a remainder.

1, 2, 443, 886

Divisors of 448

List of positive integer divisors of 448 that divides 448 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 224, 448

Greatest Common Divisior

We found the divisors of 792, 994, 886, 448 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 792, 994, 886, 448 is 2.

Therefore, GCD of numbers 792, 994, 886, 448 is 2

Given Input Data is 792, 994, 886, 448

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

Prime Factorization of 792 is 2 x 2 x 2 x 3 x 3 x 11

Prime Factorization of 994 is 2 x 7 x 71

Prime Factorization of 886 is 2 x 443

Prime Factorization of 448 is 2 x 2 x 2 x 2 x 2 x 2 x 7

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(792, 994) = 393624

GCD(792, 994) = ( 792 x 994 ) / 393624

GCD(792, 994) = 787248 / 393624

GCD(792, 994) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 886

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

LCM(2, 886) = 886

GCD(2, 886) = ( 2 x 886 ) / 886

GCD(2, 886) = 1772 / 886

GCD(2, 886) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 448

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

LCM(2, 448) = 448

GCD(2, 448) = ( 2 x 448 ) / 448

GCD(2, 448) = 896 / 448

GCD(2, 448) = 2

GCD of 792, 994, 886, 448 is 2

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1. What is the GCD of 792, 994, 886, 448?

GCD of 792, 994, 886, 448 is 2

2. Where do I get the detailed procedure to find GCD of 792, 994, 886, 448?

You can find a detailed procedure to find GCD of 792, 994, 886, 448 on our page.

3. How to find GCD of 792, 994, 886, 448 on a calculator?

You can find the GCD of 792, 994, 886, 448 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.