GCD of 99, 57, 60, 71 Calculator

Given Input numbers are 99, 57, 60, 71

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

Divisors of 99

List of positive integer divisors of 99 that divides 99 without a remainder.

1, 3, 9, 11, 33, 99

Divisors of 57

List of positive integer divisors of 57 that divides 57 without a remainder.

1, 3, 19, 57

Divisors of 60

List of positive integer divisors of 60 that divides 60 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60

Divisors of 71

List of positive integer divisors of 71 that divides 71 without a remainder.

1, 71

Greatest Common Divisior

We found the divisors of 99, 57, 60, 71 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 99, 57, 60, 71 is 1.

Therefore, GCD of numbers 99, 57, 60, 71 is 1

Given Input Data is 99, 57, 60, 71

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

Prime Factorization of 99 is 3 x 3 x 11

Prime Factorization of 57 is 3 x 19

Prime Factorization of 60 is 2 x 2 x 3 x 5

Prime Factorization of 71 is 71

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(99, 57) = 1881

GCD(99, 57) = ( 99 x 57 ) / 1881

GCD(99, 57) = 5643 / 1881

GCD(99, 57) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 60

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

LCM(3, 60) = 60

GCD(3, 60) = ( 3 x 60 ) / 60

GCD(3, 60) = 180 / 60

GCD(3, 60) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 71

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

LCM(3, 71) = 213

GCD(3, 71) = ( 3 x 71 ) / 213

GCD(3, 71) = 213 / 213

GCD(3, 71) = 1

GCD of 99, 57, 60, 71 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 49, 42, 25, 54
• GCD of 10, 41, 27, 70
• GCD of 89, 66, 58, 75
• GCD of 35, 15, 38, 76
• GCD of 82, 35, 83, 77

1. What is the GCD of 99, 57, 60, 71?

GCD of 99, 57, 60, 71 is 1

2. Where do I get the detailed procedure to find GCD of 99, 57, 60, 71?

You can find a detailed procedure to find GCD of 99, 57, 60, 71 on our page.

3. How to find GCD of 99, 57, 60, 71 on a calculator?

You can find the GCD of 99, 57, 60, 71 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.