GCD of 298, 857, 12, 259 Calculator

Given Input numbers are 298, 857, 12, 259

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

Divisors of 298

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

1, 2, 149, 298

Divisors of 857

List of positive integer divisors of 857 that divides 857 without a remainder.

1, 857

Divisors of 12

List of positive integer divisors of 12 that divides 12 without a remainder.

1, 2, 3, 4, 6, 12

Divisors of 259

List of positive integer divisors of 259 that divides 259 without a remainder.

1, 7, 37, 259

Greatest Common Divisior

We found the divisors of 298, 857, 12, 259 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 298, 857, 12, 259 is 1.

Therefore, GCD of numbers 298, 857, 12, 259 is 1

Given Input Data is 298, 857, 12, 259

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

Prime Factorization of 298 is 2 x 149

Prime Factorization of 857 is 857

Prime Factorization of 12 is 2 x 2 x 3

Prime Factorization of 259 is 7 x 37

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(298, 857) = 255386

GCD(298, 857) = ( 298 x 857 ) / 255386

GCD(298, 857) = 255386 / 255386

GCD(298, 857) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 12

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

LCM(1, 12) = 12

GCD(1, 12) = ( 1 x 12 ) / 12

GCD(1, 12) = 12 / 12

GCD(1, 12) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 259

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

LCM(1, 259) = 259

GCD(1, 259) = ( 1 x 259 ) / 259

GCD(1, 259) = 259 / 259

GCD(1, 259) = 1

GCD of 298, 857, 12, 259 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 454, 429, 53, 212
• GCD of 143, 442, 23, 574
• GCD of 479, 243, 72, 261
• GCD of 570, 909, 78, 175
• GCD of 225, 228, 77, 123

1. What is the GCD of 298, 857, 12, 259?

GCD of 298, 857, 12, 259 is 1

2. Where do I get the detailed procedure to find GCD of 298, 857, 12, 259?

You can find a detailed procedure to find GCD of 298, 857, 12, 259 on our page.

3. How to find GCD of 298, 857, 12, 259 on a calculator?

You can find the GCD of 298, 857, 12, 259 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.