GCD of 388, 178, 546, 344 Calculator

Given Input numbers are 388, 178, 546, 344

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

Divisors of 388

List of positive integer divisors of 388 that divides 388 without a remainder.

1, 2, 4, 97, 194, 388

Divisors of 178

List of positive integer divisors of 178 that divides 178 without a remainder.

1, 2, 89, 178

Divisors of 546

List of positive integer divisors of 546 that divides 546 without a remainder.

1, 2, 3, 6, 7, 13, 14, 21, 26, 39, 42, 78, 91, 182, 273, 546

Divisors of 344

List of positive integer divisors of 344 that divides 344 without a remainder.

1, 2, 4, 8, 43, 86, 172, 344

Greatest Common Divisior

We found the divisors of 388, 178, 546, 344 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 388, 178, 546, 344 is 2.

Therefore, GCD of numbers 388, 178, 546, 344 is 2

Given Input Data is 388, 178, 546, 344

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

Prime Factorization of 388 is 2 x 2 x 97

Prime Factorization of 178 is 2 x 89

Prime Factorization of 546 is 2 x 3 x 7 x 13

Prime Factorization of 344 is 2 x 2 x 2 x 43

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(388, 178) = 34532

GCD(388, 178) = ( 388 x 178 ) / 34532

GCD(388, 178) = 69064 / 34532

GCD(388, 178) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 546

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

LCM(2, 546) = 546

GCD(2, 546) = ( 2 x 546 ) / 546

GCD(2, 546) = 1092 / 546

GCD(2, 546) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 344

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

LCM(2, 344) = 344

GCD(2, 344) = ( 2 x 344 ) / 344

GCD(2, 344) = 688 / 344

GCD(2, 344) = 2

GCD of 388, 178, 546, 344 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 275, 359, 266, 382
• GCD of 147, 585, 712, 982
• GCD of 135, 396, 657, 997
• GCD of 616, 250, 253, 620
• GCD of 166, 298, 102, 287

1. What is the GCD of 388, 178, 546, 344?

GCD of 388, 178, 546, 344 is 2

2. Where do I get the detailed procedure to find GCD of 388, 178, 546, 344?

You can find a detailed procedure to find GCD of 388, 178, 546, 344 on our page.

3. How to find GCD of 388, 178, 546, 344 on a calculator?

You can find the GCD of 388, 178, 546, 344 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.