GCD of 116, 548, 304 Calculator

Given Input numbers are 116, 548, 304

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

Divisors of 116

List of positive integer divisors of 116 that divides 116 without a remainder.

1, 2, 4, 29, 58, 116

Divisors of 548

List of positive integer divisors of 548 that divides 548 without a remainder.

1, 2, 4, 137, 274, 548

Divisors of 304

List of positive integer divisors of 304 that divides 304 without a remainder.

1, 2, 4, 8, 16, 19, 38, 76, 152, 304

Greatest Common Divisior

We found the divisors of 116, 548, 304 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 116, 548, 304 is 4.

Therefore, GCD of numbers 116, 548, 304 is 4

Given Input Data is 116, 548, 304

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

Prime Factorization of 116 is 2 x 2 x 29

Prime Factorization of 548 is 2 x 2 x 137

Prime Factorization of 304 is 2 x 2 x 2 x 2 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(116, 548) = 15892

GCD(116, 548) = ( 116 x 548 ) / 15892

GCD(116, 548) = 63568 / 15892

GCD(116, 548) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 304

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

LCM(4, 304) = 304

GCD(4, 304) = ( 4 x 304 ) / 304

GCD(4, 304) = 1216 / 304

GCD(4, 304) = 4

GCD of 116, 548, 304 is 4

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1. What is the GCD of 116, 548, 304?

GCD of 116, 548, 304 is 4

2. Where do I get the detailed procedure to find GCD of 116, 548, 304?

You can find a detailed procedure to find GCD of 116, 548, 304 on our page.

3. How to find GCD of 116, 548, 304 on a calculator?

You can find the GCD of 116, 548, 304 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.