GCD of 18, 51, 98, 96 Calculator

Given Input numbers are 18, 51, 98, 96

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

Divisors of 18

List of positive integer divisors of 18 that divides 18 without a remainder.

1, 2, 3, 6, 9, 18

Divisors of 51

List of positive integer divisors of 51 that divides 51 without a remainder.

1, 3, 17, 51

Divisors of 98

List of positive integer divisors of 98 that divides 98 without a remainder.

1, 2, 7, 14, 49, 98

Divisors of 96

List of positive integer divisors of 96 that divides 96 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 96

Greatest Common Divisior

We found the divisors of 18, 51, 98, 96 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 18, 51, 98, 96 is 1.

Therefore, GCD of numbers 18, 51, 98, 96 is 1

Given Input Data is 18, 51, 98, 96

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

Prime Factorization of 18 is 2 x 3 x 3

Prime Factorization of 51 is 3 x 17

Prime Factorization of 98 is 2 x 7 x 7

Prime Factorization of 96 is 2 x 2 x 2 x 2 x 2 x 3

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(18, 51) = 306

GCD(18, 51) = ( 18 x 51 ) / 306

GCD(18, 51) = 918 / 306

GCD(18, 51) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 98

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

LCM(3, 98) = 294

GCD(3, 98) = ( 3 x 98 ) / 294

GCD(3, 98) = 294 / 294

GCD(3, 98) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 96

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

LCM(1, 96) = 96

GCD(1, 96) = ( 1 x 96 ) / 96

GCD(1, 96) = 96 / 96

GCD(1, 96) = 1

GCD of 18, 51, 98, 96 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 74, 17, 42, 43
• GCD of 69, 41, 61, 35
• GCD of 65, 94, 75, 65
• GCD of 97, 88, 78, 61
• GCD of 71, 35, 41, 38

1. What is the GCD of 18, 51, 98, 96?

GCD of 18, 51, 98, 96 is 1

2. Where do I get the detailed procedure to find GCD of 18, 51, 98, 96?

You can find a detailed procedure to find GCD of 18, 51, 98, 96 on our page.

3. How to find GCD of 18, 51, 98, 96 on a calculator?

You can find the GCD of 18, 51, 98, 96 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.