GCD of 884, 408, 96, 492 Calculator

Given Input numbers are 884, 408, 96, 492

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

Divisors of 884

List of positive integer divisors of 884 that divides 884 without a remainder.

1, 2, 4, 13, 17, 26, 34, 52, 68, 221, 442, 884

Divisors of 408

List of positive integer divisors of 408 that divides 408 without a remainder.

1, 2, 3, 4, 6, 8, 12, 17, 24, 34, 51, 68, 102, 136, 204, 408

Divisors of 96

List of positive integer divisors of 96 that divides 96 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 96

Divisors of 492

List of positive integer divisors of 492 that divides 492 without a remainder.

1, 2, 3, 4, 6, 12, 41, 82, 123, 164, 246, 492

Greatest Common Divisior

We found the divisors of 884, 408, 96, 492 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 884, 408, 96, 492 is 4.

Therefore, GCD of numbers 884, 408, 96, 492 is 4

Given Input Data is 884, 408, 96, 492

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

Prime Factorization of 884 is 2 x 2 x 13 x 17

Prime Factorization of 408 is 2 x 2 x 2 x 3 x 17

Prime Factorization of 96 is 2 x 2 x 2 x 2 x 2 x 3

Prime Factorization of 492 is 2 x 2 x 3 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(884, 408) = 5304

GCD(884, 408) = ( 884 x 408 ) / 5304

GCD(884, 408) = 360672 / 5304

GCD(884, 408) = 68

Step2:

Here we consider the GCD from the above i.e. 68 as first number and the next as 96

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

LCM(68, 96) = 1632

GCD(68, 96) = ( 68 x 96 ) / 1632

GCD(68, 96) = 6528 / 1632

GCD(68, 96) = 4

Step3:

Here we consider the GCD from the above i.e. 4 as first number and the next as 492

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

LCM(4, 492) = 492

GCD(4, 492) = ( 4 x 492 ) / 492

GCD(4, 492) = 1968 / 492

GCD(4, 492) = 4

GCD of 884, 408, 96, 492 is 4

Here are some samples of GCD of Numbers calculations.

• GCD of 890, 738, 45, 468
• GCD of 534, 185, 49, 319
• GCD of 477, 527, 14, 804
• GCD of 799, 404, 74, 892
• GCD of 874, 739, 32, 710

1. What is the GCD of 884, 408, 96, 492?

GCD of 884, 408, 96, 492 is 4

2. Where do I get the detailed procedure to find GCD of 884, 408, 96, 492?

You can find a detailed procedure to find GCD of 884, 408, 96, 492 on our page.

3. How to find GCD of 884, 408, 96, 492 on a calculator?

You can find the GCD of 884, 408, 96, 492 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.