GCD of 854, 298, 218, 331 Calculator

Given Input numbers are 854, 298, 218, 331

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

Divisors of 854

List of positive integer divisors of 854 that divides 854 without a remainder.

1, 2, 7, 14, 61, 122, 427, 854

Divisors of 298

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

1, 2, 149, 298

Divisors of 218

List of positive integer divisors of 218 that divides 218 without a remainder.

1, 2, 109, 218

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 854, 298, 218, 331 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 854, 298, 218, 331 is 1.

Therefore, GCD of numbers 854, 298, 218, 331 is 1

Given Input Data is 854, 298, 218, 331

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

Prime Factorization of 854 is 2 x 7 x 61

Prime Factorization of 298 is 2 x 149

Prime Factorization of 218 is 2 x 109

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(854, 298) = 127246

GCD(854, 298) = ( 854 x 298 ) / 127246

GCD(854, 298) = 254492 / 127246

GCD(854, 298) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 218

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

LCM(2, 218) = 218

GCD(2, 218) = ( 2 x 218 ) / 218

GCD(2, 218) = 436 / 218

GCD(2, 218) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 331

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

LCM(2, 331) = 662

GCD(2, 331) = ( 2 x 331 ) / 662

GCD(2, 331) = 662 / 662

GCD(2, 331) = 1

GCD of 854, 298, 218, 331 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 167, 662, 808, 364
• GCD of 835, 518, 123, 992
• GCD of 679, 843, 220, 223
• GCD of 163, 621, 160, 381
• GCD of 397, 332, 714, 119

1. What is the GCD of 854, 298, 218, 331?

GCD of 854, 298, 218, 331 is 1

2. Where do I get the detailed procedure to find GCD of 854, 298, 218, 331?

You can find a detailed procedure to find GCD of 854, 298, 218, 331 on our page.

3. How to find GCD of 854, 298, 218, 331 on a calculator?

You can find the GCD of 854, 298, 218, 331 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.