GCD of 184, 448, 40, 988 Calculator

Given Input numbers are 184, 448, 40, 988

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

Divisors of 184

List of positive integer divisors of 184 that divides 184 without a remainder.

1, 2, 4, 8, 23, 46, 92, 184

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

Divisors of 40

List of positive integer divisors of 40 that divides 40 without a remainder.

1, 2, 4, 5, 8, 10, 20, 40

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 184, 448, 40, 988 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 184, 448, 40, 988 is 4.

Therefore, GCD of numbers 184, 448, 40, 988 is 4

Given Input Data is 184, 448, 40, 988

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

Prime Factorization of 184 is 2 x 2 x 2 x 23

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

Prime Factorization of 40 is 2 x 2 x 2 x 5

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

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(184, 448) = 10304

GCD(184, 448) = ( 184 x 448 ) / 10304

GCD(184, 448) = 82432 / 10304

GCD(184, 448) = 8

Step2:

Here we consider the GCD from the above i.e. 8 as first number and the next as 40

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

LCM(8, 40) = 40

GCD(8, 40) = ( 8 x 40 ) / 40

GCD(8, 40) = 320 / 40

GCD(8, 40) = 8

Step3:

Here we consider the GCD from the above i.e. 8 as first number and the next as 988

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

LCM(8, 988) = 1976

GCD(8, 988) = ( 8 x 988 ) / 1976

GCD(8, 988) = 7904 / 1976

GCD(8, 988) = 4

GCD of 184, 448, 40, 988 is 4

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1. What is the GCD of 184, 448, 40, 988?

GCD of 184, 448, 40, 988 is 4

2. Where do I get the detailed procedure to find GCD of 184, 448, 40, 988?

You can find a detailed procedure to find GCD of 184, 448, 40, 988 on our page.

3. How to find GCD of 184, 448, 40, 988 on a calculator?

You can find the GCD of 184, 448, 40, 988 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.