GCD of 342, 384, 55, 125 Calculator

Given Input numbers are 342, 384, 55, 125

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

Divisors of 342

List of positive integer divisors of 342 that divides 342 without a remainder.

1, 2, 3, 6, 9, 18, 19, 38, 57, 114, 171, 342

Divisors of 384

List of positive integer divisors of 384 that divides 384 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 384

Divisors of 55

List of positive integer divisors of 55 that divides 55 without a remainder.

1, 5, 11, 55

Divisors of 125

List of positive integer divisors of 125 that divides 125 without a remainder.

1, 5, 25, 125

Greatest Common Divisior

We found the divisors of 342, 384, 55, 125 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 342, 384, 55, 125 is 1.

Therefore, GCD of numbers 342, 384, 55, 125 is 1

Given Input Data is 342, 384, 55, 125

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

Prime Factorization of 342 is 2 x 3 x 3 x 19

Prime Factorization of 384 is 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3

Prime Factorization of 55 is 5 x 11

Prime Factorization of 125 is 5 x 5 x 5

The above numbers do not have any common prime factor. So GCD is 1

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(342, 384) = 21888

GCD(342, 384) = ( 342 x 384 ) / 21888

GCD(342, 384) = 131328 / 21888

GCD(342, 384) = 6

Step2:

Here we consider the GCD from the above i.e. 6 as first number and the next as 55

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

LCM(6, 55) = 330

GCD(6, 55) = ( 6 x 55 ) / 330

GCD(6, 55) = 330 / 330

GCD(6, 55) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 125

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

LCM(1, 125) = 125

GCD(1, 125) = ( 1 x 125 ) / 125

GCD(1, 125) = 125 / 125

GCD(1, 125) = 1

GCD of 342, 384, 55, 125 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 626, 303, 36, 729
• GCD of 376, 901, 94, 416
• GCD of 864, 963, 31, 877
• GCD of 132, 394, 47, 996
• GCD of 330, 885, 71, 859

1. What is the GCD of 342, 384, 55, 125?

GCD of 342, 384, 55, 125 is 1

2. Where do I get the detailed procedure to find GCD of 342, 384, 55, 125?

You can find a detailed procedure to find GCD of 342, 384, 55, 125 on our page.

3. How to find GCD of 342, 384, 55, 125 on a calculator?

You can find the GCD of 342, 384, 55, 125 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.