GCD of 12, 356, 986, 789 Calculator

Given Input numbers are 12, 356, 986, 789

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

Divisors of 12

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

1, 2, 3, 4, 6, 12

Divisors of 356

List of positive integer divisors of 356 that divides 356 without a remainder.

1, 2, 4, 89, 178, 356

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 789

List of positive integer divisors of 789 that divides 789 without a remainder.

1, 3, 263, 789

Greatest Common Divisior

We found the divisors of 12, 356, 986, 789 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 12, 356, 986, 789 is 1.

Therefore, GCD of numbers 12, 356, 986, 789 is 1

Given Input Data is 12, 356, 986, 789

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

Prime Factorization of 12 is 2 x 2 x 3

Prime Factorization of 356 is 2 x 2 x 89

Prime Factorization of 986 is 2 x 17 x 29

Prime Factorization of 789 is 3 x 263

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(12, 356) = 1068

GCD(12, 356) = ( 12 x 356 ) / 1068

GCD(12, 356) = 4272 / 1068

GCD(12, 356) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 986

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

LCM(4, 986) = 1972

GCD(4, 986) = ( 4 x 986 ) / 1972

GCD(4, 986) = 3944 / 1972

GCD(4, 986) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 789

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

LCM(2, 789) = 1578

GCD(2, 789) = ( 2 x 789 ) / 1578

GCD(2, 789) = 1578 / 1578

GCD(2, 789) = 1

GCD of 12, 356, 986, 789 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 34, 221, 413, 291
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• GCD of 95, 850, 455, 459
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• GCD of 62, 841, 502, 968

1. What is the GCD of 12, 356, 986, 789?

GCD of 12, 356, 986, 789 is 1

2. Where do I get the detailed procedure to find GCD of 12, 356, 986, 789?

You can find a detailed procedure to find GCD of 12, 356, 986, 789 on our page.

3. How to find GCD of 12, 356, 986, 789 on a calculator?

You can find the GCD of 12, 356, 986, 789 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.