GCD of 804, 390, 54, 988 Calculator

Given Input numbers are 804, 390, 54, 988

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

Divisors of 804

List of positive integer divisors of 804 that divides 804 without a remainder.

1, 2, 3, 4, 6, 12, 67, 134, 201, 268, 402, 804

Divisors of 390

List of positive integer divisors of 390 that divides 390 without a remainder.

1, 2, 3, 5, 6, 10, 13, 15, 26, 30, 39, 65, 78, 130, 195, 390

Divisors of 54

List of positive integer divisors of 54 that divides 54 without a remainder.

1, 2, 3, 6, 9, 18, 27, 54

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

Greatest Common Divisior

We found the divisors of 804, 390, 54, 988 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 804, 390, 54, 988 is 2.

Therefore, GCD of numbers 804, 390, 54, 988 is 2

Given Input Data is 804, 390, 54, 988

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

Prime Factorization of 804 is 2 x 2 x 3 x 67

Prime Factorization of 390 is 2 x 3 x 5 x 13

Prime Factorization of 54 is 2 x 3 x 3 x 3

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

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(804, 390) = 52260

GCD(804, 390) = ( 804 x 390 ) / 52260

GCD(804, 390) = 313560 / 52260

GCD(804, 390) = 6

Step2:

Here we consider the GCD from the above i.e. 6 as first number and the next as 54

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

LCM(6, 54) = 54

GCD(6, 54) = ( 6 x 54 ) / 54

GCD(6, 54) = 324 / 54

GCD(6, 54) = 6

Step3:

Here we consider the GCD from the above i.e. 6 as first number and the next as 988

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

LCM(6, 988) = 2964

GCD(6, 988) = ( 6 x 988 ) / 2964

GCD(6, 988) = 5928 / 2964

GCD(6, 988) = 2

GCD of 804, 390, 54, 988 is 2

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1. What is the GCD of 804, 390, 54, 988?

GCD of 804, 390, 54, 988 is 2

2. Where do I get the detailed procedure to find GCD of 804, 390, 54, 988?

You can find a detailed procedure to find GCD of 804, 390, 54, 988 on our page.

3. How to find GCD of 804, 390, 54, 988 on a calculator?

You can find the GCD of 804, 390, 54, 988 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.