GCD of 96, 14, 53, 13 Calculator

Given Input numbers are 96, 14, 53, 13

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 14

List of positive integer divisors of 14 that divides 14 without a remainder.

1, 2, 7, 14

Divisors of 53

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

1, 53

Divisors of 13

List of positive integer divisors of 13 that divides 13 without a remainder.

1, 13

Greatest Common Divisior

We found the divisors of 96, 14, 53, 13 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 96, 14, 53, 13 is 1.

Therefore, GCD of numbers 96, 14, 53, 13 is 1

Given Input Data is 96, 14, 53, 13

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 14 is 2 x 7

Prime Factorization of 53 is 53

Prime Factorization of 13 is 13

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, 14) = 672

GCD(96, 14) = ( 96 x 14 ) / 672

GCD(96, 14) = 1344 / 672

GCD(96, 14) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 53

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

LCM(2, 53) = 106

GCD(2, 53) = ( 2 x 53 ) / 106

GCD(2, 53) = 106 / 106

GCD(2, 53) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 13

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

LCM(1, 13) = 13

GCD(1, 13) = ( 1 x 13 ) / 13

GCD(1, 13) = 13 / 13

GCD(1, 13) = 1

GCD of 96, 14, 53, 13 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 14, 61, 57, 27
• GCD of 70, 21, 15, 41
• GCD of 27, 49, 93, 92
• GCD of 25, 72, 71, 87
• GCD of 10, 86, 25, 88

1. What is the GCD of 96, 14, 53, 13?

GCD of 96, 14, 53, 13 is 1

2. Where do I get the detailed procedure to find GCD of 96, 14, 53, 13?

You can find a detailed procedure to find GCD of 96, 14, 53, 13 on our page.

3. How to find GCD of 96, 14, 53, 13 on a calculator?

You can find the GCD of 96, 14, 53, 13 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.