GCD of 362, 198, 15, 286 Calculator

Given Input numbers are 362, 198, 15, 286

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

Divisors of 362

List of positive integer divisors of 362 that divides 362 without a remainder.

1, 2, 181, 362

Divisors of 198

List of positive integer divisors of 198 that divides 198 without a remainder.

1, 2, 3, 6, 9, 11, 18, 22, 33, 66, 99, 198

Divisors of 15

List of positive integer divisors of 15 that divides 15 without a remainder.

1, 3, 5, 15

Divisors of 286

List of positive integer divisors of 286 that divides 286 without a remainder.

1, 2, 11, 13, 22, 26, 143, 286

Greatest Common Divisior

We found the divisors of 362, 198, 15, 286 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 362, 198, 15, 286 is 1.

Therefore, GCD of numbers 362, 198, 15, 286 is 1

Given Input Data is 362, 198, 15, 286

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

Prime Factorization of 362 is 2 x 181

Prime Factorization of 198 is 2 x 3 x 3 x 11

Prime Factorization of 15 is 3 x 5

Prime Factorization of 286 is 2 x 11 x 13

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(362, 198) = 35838

GCD(362, 198) = ( 362 x 198 ) / 35838

GCD(362, 198) = 71676 / 35838

GCD(362, 198) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 15

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

LCM(2, 15) = 30

GCD(2, 15) = ( 2 x 15 ) / 30

GCD(2, 15) = 30 / 30

GCD(2, 15) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 286

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

LCM(1, 286) = 286

GCD(1, 286) = ( 1 x 286 ) / 286

GCD(1, 286) = 286 / 286

GCD(1, 286) = 1

GCD of 362, 198, 15, 286 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 664, 847, 74, 347
• GCD of 419, 980, 87, 305
• GCD of 799, 797, 78, 180
• GCD of 569, 830, 84, 782
• GCD of 190, 869, 83, 699

1. What is the GCD of 362, 198, 15, 286?

GCD of 362, 198, 15, 286 is 1

2. Where do I get the detailed procedure to find GCD of 362, 198, 15, 286?

You can find a detailed procedure to find GCD of 362, 198, 15, 286 on our page.

3. How to find GCD of 362, 198, 15, 286 on a calculator?

You can find the GCD of 362, 198, 15, 286 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.