GCD of 107, 102, 82, 993 Calculator

Given Input numbers are 107, 102, 82, 993

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

Divisors of 107

List of positive integer divisors of 107 that divides 107 without a remainder.

1, 107

Divisors of 102

List of positive integer divisors of 102 that divides 102 without a remainder.

1, 2, 3, 6, 17, 34, 51, 102

Divisors of 82

List of positive integer divisors of 82 that divides 82 without a remainder.

1, 2, 41, 82

Divisors of 993

List of positive integer divisors of 993 that divides 993 without a remainder.

1, 3, 331, 993

Greatest Common Divisior

We found the divisors of 107, 102, 82, 993 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 107, 102, 82, 993 is 1.

Therefore, GCD of numbers 107, 102, 82, 993 is 1

Given Input Data is 107, 102, 82, 993

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

Prime Factorization of 107 is 107

Prime Factorization of 102 is 2 x 3 x 17

Prime Factorization of 82 is 2 x 41

Prime Factorization of 993 is 3 x 331

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(107, 102) = 10914

GCD(107, 102) = ( 107 x 102 ) / 10914

GCD(107, 102) = 10914 / 10914

GCD(107, 102) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 82

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

LCM(1, 82) = 82

GCD(1, 82) = ( 1 x 82 ) / 82

GCD(1, 82) = 82 / 82

GCD(1, 82) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 993

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

LCM(1, 993) = 993

GCD(1, 993) = ( 1 x 993 ) / 993

GCD(1, 993) = 993 / 993

GCD(1, 993) = 1

GCD of 107, 102, 82, 993 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 842, 956, 28, 105
• GCD of 265, 686, 79, 135
• GCD of 994, 409, 51, 772
• GCD of 101, 340, 36, 595
• GCD of 410, 902, 82, 617

1. What is the GCD of 107, 102, 82, 993?

GCD of 107, 102, 82, 993 is 1

2. Where do I get the detailed procedure to find GCD of 107, 102, 82, 993?

You can find a detailed procedure to find GCD of 107, 102, 82, 993 on our page.

3. How to find GCD of 107, 102, 82, 993 on a calculator?

You can find the GCD of 107, 102, 82, 993 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.