GCD of 99, 986, 117, 623 Calculator

Given Input numbers are 99, 986, 117, 623

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

Divisors of 99

List of positive integer divisors of 99 that divides 99 without a remainder.

1, 3, 9, 11, 33, 99

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 117

List of positive integer divisors of 117 that divides 117 without a remainder.

1, 3, 9, 13, 39, 117

Divisors of 623

List of positive integer divisors of 623 that divides 623 without a remainder.

1, 7, 89, 623

Greatest Common Divisior

We found the divisors of 99, 986, 117, 623 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 99, 986, 117, 623 is 1.

Therefore, GCD of numbers 99, 986, 117, 623 is 1

Given Input Data is 99, 986, 117, 623

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

Prime Factorization of 99 is 3 x 3 x 11

Prime Factorization of 986 is 2 x 17 x 29

Prime Factorization of 117 is 3 x 3 x 13

Prime Factorization of 623 is 7 x 89

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(99, 986) = 97614

GCD(99, 986) = ( 99 x 986 ) / 97614

GCD(99, 986) = 97614 / 97614

GCD(99, 986) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 117

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

LCM(1, 117) = 117

GCD(1, 117) = ( 1 x 117 ) / 117

GCD(1, 117) = 117 / 117

GCD(1, 117) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 623

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

LCM(1, 623) = 623

GCD(1, 623) = ( 1 x 623 ) / 623

GCD(1, 623) = 623 / 623

GCD(1, 623) = 1

GCD of 99, 986, 117, 623 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 25, 247, 997, 362
• GCD of 58, 856, 289, 637
• GCD of 30, 403, 360, 994
• GCD of 48, 863, 120, 985
• GCD of 85, 619, 813, 114

1. What is the GCD of 99, 986, 117, 623?

GCD of 99, 986, 117, 623 is 1

2. Where do I get the detailed procedure to find GCD of 99, 986, 117, 623?

You can find a detailed procedure to find GCD of 99, 986, 117, 623 on our page.

3. How to find GCD of 99, 986, 117, 623 on a calculator?

You can find the GCD of 99, 986, 117, 623 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.