GCD of 120, 385, 298, 331 Calculator

Given Input numbers are 120, 385, 298, 331

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

Divisors of 120

List of positive integer divisors of 120 that divides 120 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120

Divisors of 385

List of positive integer divisors of 385 that divides 385 without a remainder.

1, 5, 7, 11, 35, 55, 77, 385

Divisors of 298

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

1, 2, 149, 298

Divisors of 331

List of positive integer divisors of 331 that divides 331 without a remainder.

1, 331

Greatest Common Divisior

We found the divisors of 120, 385, 298, 331 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 120, 385, 298, 331 is 1.

Therefore, GCD of numbers 120, 385, 298, 331 is 1

Given Input Data is 120, 385, 298, 331

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

Prime Factorization of 120 is 2 x 2 x 2 x 3 x 5

Prime Factorization of 385 is 5 x 7 x 11

Prime Factorization of 298 is 2 x 149

Prime Factorization of 331 is 331

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(120, 385) = 9240

GCD(120, 385) = ( 120 x 385 ) / 9240

GCD(120, 385) = 46200 / 9240

GCD(120, 385) = 5

Step2:

Here we consider the GCD from the above i.e. 5 as first number and the next as 298

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

LCM(5, 298) = 1490

GCD(5, 298) = ( 5 x 298 ) / 1490

GCD(5, 298) = 1490 / 1490

GCD(5, 298) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 331

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

LCM(1, 331) = 331

GCD(1, 331) = ( 1 x 331 ) / 331

GCD(1, 331) = 331 / 331

GCD(1, 331) = 1

GCD of 120, 385, 298, 331 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 707, 407, 585, 302
• GCD of 227, 120, 347, 816
• GCD of 112, 331, 345, 781
• GCD of 230, 169, 994, 461
• GCD of 241, 711, 869, 170

1. What is the GCD of 120, 385, 298, 331?

GCD of 120, 385, 298, 331 is 1

2. Where do I get the detailed procedure to find GCD of 120, 385, 298, 331?

You can find a detailed procedure to find GCD of 120, 385, 298, 331 on our page.

3. How to find GCD of 120, 385, 298, 331 on a calculator?

You can find the GCD of 120, 385, 298, 331 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.