GCD of 492, 912, 988, 204 Calculator

Given Input numbers are 492, 912, 988, 204

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

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

Divisors of 912

List of positive integer divisors of 912 that divides 912 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 19, 24, 38, 48, 57, 76, 114, 152, 228, 304, 456, 912

Divisors of 988

List of positive integer divisors of 988 that divides 988 without a remainder.

1, 2, 4, 13, 19, 26, 38, 52, 76, 247, 494, 988

Divisors of 204

List of positive integer divisors of 204 that divides 204 without a remainder.

1, 2, 3, 4, 6, 12, 17, 34, 51, 68, 102, 204

Greatest Common Divisior

We found the divisors of 492, 912, 988, 204 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 492, 912, 988, 204 is 4.

Therefore, GCD of numbers 492, 912, 988, 204 is 4

Given Input Data is 492, 912, 988, 204

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

Prime Factorization of 492 is 2 x 2 x 3 x 41

Prime Factorization of 912 is 2 x 2 x 2 x 2 x 3 x 19

Prime Factorization of 988 is 2 x 2 x 13 x 19

Prime Factorization of 204 is 2 x 2 x 3 x 17

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(492, 912) = 37392

GCD(492, 912) = ( 492 x 912 ) / 37392

GCD(492, 912) = 448704 / 37392

GCD(492, 912) = 12

Step2:

Here we consider the GCD from the above i.e. 12 as first number and the next as 988

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

LCM(12, 988) = 2964

GCD(12, 988) = ( 12 x 988 ) / 2964

GCD(12, 988) = 11856 / 2964

GCD(12, 988) = 4

Step3:

Here we consider the GCD from the above i.e. 4 as first number and the next as 204

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

LCM(4, 204) = 204

GCD(4, 204) = ( 4 x 204 ) / 204

GCD(4, 204) = 816 / 204

GCD(4, 204) = 4

GCD of 492, 912, 988, 204 is 4

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• GCD of 288, 892, 192, 398
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1. What is the GCD of 492, 912, 988, 204?

GCD of 492, 912, 988, 204 is 4

2. Where do I get the detailed procedure to find GCD of 492, 912, 988, 204?

You can find a detailed procedure to find GCD of 492, 912, 988, 204 on our page.

3. How to find GCD of 492, 912, 988, 204 on a calculator?

You can find the GCD of 492, 912, 988, 204 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.