GCD of 66, 96, 15, 53 Calculator

Given Input numbers are 66, 96, 15, 53

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

Divisors of 66

List of positive integer divisors of 66 that divides 66 without a remainder.

1, 2, 3, 6, 11, 22, 33, 66

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 15

List of positive integer divisors of 15 that divides 15 without a remainder.

1, 3, 5, 15

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 66, 96, 15, 53 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 66, 96, 15, 53 is 1.

Therefore, GCD of numbers 66, 96, 15, 53 is 1

Given Input Data is 66, 96, 15, 53

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

Prime Factorization of 66 is 2 x 3 x 11

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

Prime Factorization of 15 is 3 x 5

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(66, 96) = 1056

GCD(66, 96) = ( 66 x 96 ) / 1056

GCD(66, 96) = 6336 / 1056

GCD(66, 96) = 6

Step2:

Here we consider the GCD from the above i.e. 6 as first number and the next as 15

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

LCM(6, 15) = 30

GCD(6, 15) = ( 6 x 15 ) / 30

GCD(6, 15) = 90 / 30

GCD(6, 15) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 53

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

LCM(3, 53) = 159

GCD(3, 53) = ( 3 x 53 ) / 159

GCD(3, 53) = 159 / 159

GCD(3, 53) = 1

GCD of 66, 96, 15, 53 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 25, 70, 93, 70
• GCD of 64, 98, 71, 97
• GCD of 87, 62, 15, 23
• GCD of 66, 62, 38, 89
• GCD of 59, 11, 90, 95

1. What is the GCD of 66, 96, 15, 53?

GCD of 66, 96, 15, 53 is 1

2. Where do I get the detailed procedure to find GCD of 66, 96, 15, 53?

You can find a detailed procedure to find GCD of 66, 96, 15, 53 on our page.

3. How to find GCD of 66, 96, 15, 53 on a calculator?

You can find the GCD of 66, 96, 15, 53 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.