GCD of 986, 610, 81, 198 Calculator

Given Input numbers are 986, 610, 81, 198

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 610

List of positive integer divisors of 610 that divides 610 without a remainder.

1, 2, 5, 10, 61, 122, 305, 610

Divisors of 81

List of positive integer divisors of 81 that divides 81 without a remainder.

1, 3, 9, 27, 81

Divisors of 198

List of positive integer divisors of 198 that divides 198 without a remainder.

1, 2, 3, 6, 9, 11, 18, 22, 33, 66, 99, 198

Greatest Common Divisior

We found the divisors of 986, 610, 81, 198 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 986, 610, 81, 198 is 1.

Therefore, GCD of numbers 986, 610, 81, 198 is 1

Given Input Data is 986, 610, 81, 198

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 610 is 2 x 5 x 61

Prime Factorization of 81 is 3 x 3 x 3 x 3

Prime Factorization of 198 is 2 x 3 x 3 x 11

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, 610) = 300730

GCD(986, 610) = ( 986 x 610 ) / 300730

GCD(986, 610) = 601460 / 300730

GCD(986, 610) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 81

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

LCM(2, 81) = 162

GCD(2, 81) = ( 2 x 81 ) / 162

GCD(2, 81) = 162 / 162

GCD(2, 81) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 198

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

LCM(1, 198) = 198

GCD(1, 198) = ( 1 x 198 ) / 198

GCD(1, 198) = 198 / 198

GCD(1, 198) = 1

GCD of 986, 610, 81, 198 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 307, 896, 29, 516
• GCD of 164, 678, 85, 961
• GCD of 958, 172, 70, 353
• GCD of 238, 550, 57, 202
• GCD of 556, 761, 39, 881

1. What is the GCD of 986, 610, 81, 198?

GCD of 986, 610, 81, 198 is 1

2. Where do I get the detailed procedure to find GCD of 986, 610, 81, 198?

You can find a detailed procedure to find GCD of 986, 610, 81, 198 on our page.

3. How to find GCD of 986, 610, 81, 198 on a calculator?

You can find the GCD of 986, 610, 81, 198 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.