GCD of 309, 986, 51, 360 Calculator

Given Input numbers are 309, 986, 51, 360

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

Divisors of 309

List of positive integer divisors of 309 that divides 309 without a remainder.

1, 3, 103, 309

Divisors of 986

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

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

Divisors of 51

List of positive integer divisors of 51 that divides 51 without a remainder.

1, 3, 17, 51

Divisors of 360

List of positive integer divisors of 360 that divides 360 without a remainder.

1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 90, 120, 180, 360

Greatest Common Divisior

We found the divisors of 309, 986, 51, 360 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 309, 986, 51, 360 is 1.

Therefore, GCD of numbers 309, 986, 51, 360 is 1

Given Input Data is 309, 986, 51, 360

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

Prime Factorization of 309 is 3 x 103

Prime Factorization of 986 is 2 x 17 x 29

Prime Factorization of 51 is 3 x 17

Prime Factorization of 360 is 2 x 2 x 2 x 3 x 3 x 5

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(309, 986) = 304674

GCD(309, 986) = ( 309 x 986 ) / 304674

GCD(309, 986) = 304674 / 304674

GCD(309, 986) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 51

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

LCM(1, 51) = 51

GCD(1, 51) = ( 1 x 51 ) / 51

GCD(1, 51) = 51 / 51

GCD(1, 51) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 360

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

LCM(1, 360) = 360

GCD(1, 360) = ( 1 x 360 ) / 360

GCD(1, 360) = 360 / 360

GCD(1, 360) = 1

GCD of 309, 986, 51, 360 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 929, 479, 43, 434
• GCD of 421, 109, 47, 748
• GCD of 418, 240, 88, 187
• GCD of 360, 969, 28, 485
• GCD of 226, 574, 38, 676

1. What is the GCD of 309, 986, 51, 360?

GCD of 309, 986, 51, 360 is 1

2. Where do I get the detailed procedure to find GCD of 309, 986, 51, 360?

You can find a detailed procedure to find GCD of 309, 986, 51, 360 on our page.

3. How to find GCD of 309, 986, 51, 360 on a calculator?

You can find the GCD of 309, 986, 51, 360 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.