GCD of 306, 948, 19, 986 Calculator

Given Input numbers are 306, 948, 19, 986

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

Divisors of 306

List of positive integer divisors of 306 that divides 306 without a remainder.

1, 2, 3, 6, 9, 17, 18, 34, 51, 102, 153, 306

Divisors of 948

List of positive integer divisors of 948 that divides 948 without a remainder.

1, 2, 3, 4, 6, 12, 79, 158, 237, 316, 474, 948

Divisors of 19

List of positive integer divisors of 19 that divides 19 without a remainder.

1, 19

Divisors of 986

List of positive integer divisors of 986 that divides 986 without a remainder.

1, 2, 17, 29, 34, 58, 493, 986

Greatest Common Divisior

We found the divisors of 306, 948, 19, 986 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 306, 948, 19, 986 is 1.

Therefore, GCD of numbers 306, 948, 19, 986 is 1

Given Input Data is 306, 948, 19, 986

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

Prime Factorization of 306 is 2 x 3 x 3 x 17

Prime Factorization of 948 is 2 x 2 x 3 x 79

Prime Factorization of 19 is 19

Prime Factorization of 986 is 2 x 17 x 29

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(306, 948) = 48348

GCD(306, 948) = ( 306 x 948 ) / 48348

GCD(306, 948) = 290088 / 48348

GCD(306, 948) = 6

Step2:

Here we consider the GCD from the above i.e. 6 as first number and the next as 19

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

LCM(6, 19) = 114

GCD(6, 19) = ( 6 x 19 ) / 114

GCD(6, 19) = 114 / 114

GCD(6, 19) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 986

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

LCM(1, 986) = 986

GCD(1, 986) = ( 1 x 986 ) / 986

GCD(1, 986) = 986 / 986

GCD(1, 986) = 1

GCD of 306, 948, 19, 986 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 935, 799, 35, 982
• GCD of 304, 203, 11, 278
• GCD of 397, 363, 69, 374
• GCD of 307, 894, 23, 429
• GCD of 946, 452, 70, 154

1. What is the GCD of 306, 948, 19, 986?

GCD of 306, 948, 19, 986 is 1

2. Where do I get the detailed procedure to find GCD of 306, 948, 19, 986?

You can find a detailed procedure to find GCD of 306, 948, 19, 986 on our page.

3. How to find GCD of 306, 948, 19, 986 on a calculator?

You can find the GCD of 306, 948, 19, 986 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.