GCD of 96, 83, 18, 53 Calculator

Given Input numbers are 96, 83, 18, 53

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

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

Divisors of 83

List of positive integer divisors of 83 that divides 83 without a remainder.

1, 83

Divisors of 18

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

1, 2, 3, 6, 9, 18

Divisors of 53

List of positive integer divisors of 53 that divides 53 without a remainder.

1, 53

Greatest Common Divisior

We found the divisors of 96, 83, 18, 53 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 96, 83, 18, 53 is 1.

Therefore, GCD of numbers 96, 83, 18, 53 is 1

Given Input Data is 96, 83, 18, 53

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

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

Prime Factorization of 83 is 83

Prime Factorization of 18 is 2 x 3 x 3

Prime Factorization of 53 is 53

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(96, 83) = 7968

GCD(96, 83) = ( 96 x 83 ) / 7968

GCD(96, 83) = 7968 / 7968

GCD(96, 83) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 18

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

LCM(1, 18) = 18

GCD(1, 18) = ( 1 x 18 ) / 18

GCD(1, 18) = 18 / 18

GCD(1, 18) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 53

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

LCM(1, 53) = 53

GCD(1, 53) = ( 1 x 53 ) / 53

GCD(1, 53) = 53 / 53

GCD(1, 53) = 1

GCD of 96, 83, 18, 53 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 73, 89, 36, 61
• GCD of 68, 25, 65, 84
• GCD of 52, 52, 21, 89
• GCD of 86, 67, 78, 51
• GCD of 77, 39, 59, 53

1. What is the GCD of 96, 83, 18, 53?

GCD of 96, 83, 18, 53 is 1

2. Where do I get the detailed procedure to find GCD of 96, 83, 18, 53?

You can find a detailed procedure to find GCD of 96, 83, 18, 53 on our page.

3. How to find GCD of 96, 83, 18, 53 on a calculator?

You can find the GCD of 96, 83, 18, 53 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.