GCD of 986, 223, 150, 789 Calculator

Given Input numbers are 986, 223, 150, 789

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

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 223

List of positive integer divisors of 223 that divides 223 without a remainder.

1, 223

Divisors of 150

List of positive integer divisors of 150 that divides 150 without a remainder.

1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 150

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 986, 223, 150, 789 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 986, 223, 150, 789 is 1.

Therefore, GCD of numbers 986, 223, 150, 789 is 1

Given Input Data is 986, 223, 150, 789

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

Prime Factorization of 986 is 2 x 17 x 29

Prime Factorization of 223 is 223

Prime Factorization of 150 is 2 x 3 x 5 x 5

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(986, 223) = 219878

GCD(986, 223) = ( 986 x 223 ) / 219878

GCD(986, 223) = 219878 / 219878

GCD(986, 223) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 150

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

LCM(1, 150) = 150

GCD(1, 150) = ( 1 x 150 ) / 150

GCD(1, 150) = 150 / 150

GCD(1, 150) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 789

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

LCM(1, 789) = 789

GCD(1, 789) = ( 1 x 789 ) / 789

GCD(1, 789) = 789 / 789

GCD(1, 789) = 1

GCD of 986, 223, 150, 789 is 1

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1. What is the GCD of 986, 223, 150, 789?

GCD of 986, 223, 150, 789 is 1

2. Where do I get the detailed procedure to find GCD of 986, 223, 150, 789?

You can find a detailed procedure to find GCD of 986, 223, 150, 789 on our page.

3. How to find GCD of 986, 223, 150, 789 on a calculator?

You can find the GCD of 986, 223, 150, 789 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.