GCD of 119, 789, 41, 986 Calculator

Given Input numbers are 119, 789, 41, 986

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

Divisors of 119

List of positive integer divisors of 119 that divides 119 without a remainder.

1, 7, 17, 119

Divisors of 789

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

1, 3, 263, 789

Divisors of 41

List of positive integer divisors of 41 that divides 41 without a remainder.

1, 41

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 119, 789, 41, 986 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 119, 789, 41, 986 is 1.

Therefore, GCD of numbers 119, 789, 41, 986 is 1

Given Input Data is 119, 789, 41, 986

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

Prime Factorization of 119 is 7 x 17

Prime Factorization of 789 is 3 x 263

Prime Factorization of 41 is 41

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(119, 789) = 93891

GCD(119, 789) = ( 119 x 789 ) / 93891

GCD(119, 789) = 93891 / 93891

GCD(119, 789) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 41

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

LCM(1, 41) = 41

GCD(1, 41) = ( 1 x 41 ) / 41

GCD(1, 41) = 41 / 41

GCD(1, 41) = 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 119, 789, 41, 986 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 713, 779, 58, 407
• GCD of 478, 137, 13, 304
• GCD of 754, 564, 86, 184
• GCD of 814, 835, 21, 151
• GCD of 724, 517, 24, 693

1. What is the GCD of 119, 789, 41, 986?

GCD of 119, 789, 41, 986 is 1

2. Where do I get the detailed procedure to find GCD of 119, 789, 41, 986?

You can find a detailed procedure to find GCD of 119, 789, 41, 986 on our page.

3. How to find GCD of 119, 789, 41, 986 on a calculator?

You can find the GCD of 119, 789, 41, 986 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.