GCD of 99, 25, 40, 66 Calculator

Given Input numbers are 99, 25, 40, 66

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 25

List of positive integer divisors of 25 that divides 25 without a remainder.

1, 5, 25

Divisors of 40

List of positive integer divisors of 40 that divides 40 without a remainder.

1, 2, 4, 5, 8, 10, 20, 40

Divisors of 66

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

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

Greatest Common Divisior

We found the divisors of 99, 25, 40, 66 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 99, 25, 40, 66 is 1.

Therefore, GCD of numbers 99, 25, 40, 66 is 1

Given Input Data is 99, 25, 40, 66

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 25 is 5 x 5

Prime Factorization of 40 is 2 x 2 x 2 x 5

Prime Factorization of 66 is 2 x 3 x 11

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, 25) = 2475

GCD(99, 25) = ( 99 x 25 ) / 2475

GCD(99, 25) = 2475 / 2475

GCD(99, 25) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 40

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

LCM(1, 40) = 40

GCD(1, 40) = ( 1 x 40 ) / 40

GCD(1, 40) = 40 / 40

GCD(1, 40) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 66

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

LCM(1, 66) = 66

GCD(1, 66) = ( 1 x 66 ) / 66

GCD(1, 66) = 66 / 66

GCD(1, 66) = 1

GCD of 99, 25, 40, 66 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 73, 38, 38, 72
• GCD of 62, 45, 49, 65
• GCD of 65, 89, 94, 64
• GCD of 63, 89, 71, 32
• GCD of 99, 77, 49, 41

1. What is the GCD of 99, 25, 40, 66?

GCD of 99, 25, 40, 66 is 1

2. Where do I get the detailed procedure to find GCD of 99, 25, 40, 66?

You can find a detailed procedure to find GCD of 99, 25, 40, 66 on our page.

3. How to find GCD of 99, 25, 40, 66 on a calculator?

You can find the GCD of 99, 25, 40, 66 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.