GCD of 99, 90, 88, 53 Calculator

Given Input numbers are 99, 90, 88, 53

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 90

List of positive integer divisors of 90 that divides 90 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 90

Divisors of 88

List of positive integer divisors of 88 that divides 88 without a remainder.

1, 2, 4, 8, 11, 22, 44, 88

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 99, 90, 88, 53 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 99, 90, 88, 53 is 1.

Therefore, GCD of numbers 99, 90, 88, 53 is 1

Given Input Data is 99, 90, 88, 53

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 90 is 2 x 3 x 3 x 5

Prime Factorization of 88 is 2 x 2 x 2 x 11

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(99, 90) = 990

GCD(99, 90) = ( 99 x 90 ) / 990

GCD(99, 90) = 8910 / 990

GCD(99, 90) = 9

Step2:

Here we consider the GCD from the above i.e. 9 as first number and the next as 88

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

LCM(9, 88) = 792

GCD(9, 88) = ( 9 x 88 ) / 792

GCD(9, 88) = 792 / 792

GCD(9, 88) = 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 99, 90, 88, 53 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 42, 54, 34, 59
• GCD of 66, 38, 83, 17
• GCD of 12, 39, 88, 55
• GCD of 61, 20, 35, 73
• GCD of 62, 17, 11, 45

1. What is the GCD of 99, 90, 88, 53?

GCD of 99, 90, 88, 53 is 1

2. Where do I get the detailed procedure to find GCD of 99, 90, 88, 53?

You can find a detailed procedure to find GCD of 99, 90, 88, 53 on our page.

3. How to find GCD of 99, 90, 88, 53 on a calculator?

You can find the GCD of 99, 90, 88, 53 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.