GCD of 111, 348, 75, 298 Calculator

Given Input numbers are 111, 348, 75, 298

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

Divisors of 111

List of positive integer divisors of 111 that divides 111 without a remainder.

1, 3, 37, 111

Divisors of 348

List of positive integer divisors of 348 that divides 348 without a remainder.

1, 2, 3, 4, 6, 12, 29, 58, 87, 116, 174, 348

Divisors of 75

List of positive integer divisors of 75 that divides 75 without a remainder.

1, 3, 5, 15, 25, 75

Divisors of 298

List of positive integer divisors of 298 that divides 298 without a remainder.

1, 2, 149, 298

Greatest Common Divisior

We found the divisors of 111, 348, 75, 298 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 111, 348, 75, 298 is 1.

Therefore, GCD of numbers 111, 348, 75, 298 is 1

Given Input Data is 111, 348, 75, 298

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

Prime Factorization of 111 is 3 x 37

Prime Factorization of 348 is 2 x 2 x 3 x 29

Prime Factorization of 75 is 3 x 5 x 5

Prime Factorization of 298 is 2 x 149

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(111, 348) = 12876

GCD(111, 348) = ( 111 x 348 ) / 12876

GCD(111, 348) = 38628 / 12876

GCD(111, 348) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 75

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

LCM(3, 75) = 75

GCD(3, 75) = ( 3 x 75 ) / 75

GCD(3, 75) = 225 / 75

GCD(3, 75) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 298

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

LCM(3, 298) = 894

GCD(3, 298) = ( 3 x 298 ) / 894

GCD(3, 298) = 894 / 894

GCD(3, 298) = 1

GCD of 111, 348, 75, 298 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 636, 876, 22, 899
• GCD of 208, 352, 96, 167
• GCD of 625, 286, 44, 363
• GCD of 333, 377, 16, 838
• GCD of 141, 347, 46, 373

1. What is the GCD of 111, 348, 75, 298?

GCD of 111, 348, 75, 298 is 1

2. Where do I get the detailed procedure to find GCD of 111, 348, 75, 298?

You can find a detailed procedure to find GCD of 111, 348, 75, 298 on our page.

3. How to find GCD of 111, 348, 75, 298 on a calculator?

You can find the GCD of 111, 348, 75, 298 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.