GCD of 45, 90, 48, 89 Calculator

Given Input numbers are 45, 90, 48, 89

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

Divisors of 45

List of positive integer divisors of 45 that divides 45 without a remainder.

1, 3, 5, 9, 15, 45

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 48

List of positive integer divisors of 48 that divides 48 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 48

Divisors of 89

List of positive integer divisors of 89 that divides 89 without a remainder.

1, 89

Greatest Common Divisior

We found the divisors of 45, 90, 48, 89 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 45, 90, 48, 89 is 1.

Therefore, GCD of numbers 45, 90, 48, 89 is 1

Given Input Data is 45, 90, 48, 89

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

Prime Factorization of 45 is 3 x 3 x 5

Prime Factorization of 90 is 2 x 3 x 3 x 5

Prime Factorization of 48 is 2 x 2 x 2 x 2 x 3

Prime Factorization of 89 is 89

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(45, 90) = 90

GCD(45, 90) = ( 45 x 90 ) / 90

GCD(45, 90) = 4050 / 90

GCD(45, 90) = 45

Step2:

Here we consider the GCD from the above i.e. 45 as first number and the next as 48

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

LCM(45, 48) = 720

GCD(45, 48) = ( 45 x 48 ) / 720

GCD(45, 48) = 2160 / 720

GCD(45, 48) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 89

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

LCM(3, 89) = 267

GCD(3, 89) = ( 3 x 89 ) / 267

GCD(3, 89) = 267 / 267

GCD(3, 89) = 1

GCD of 45, 90, 48, 89 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 11, 79, 98, 66
• GCD of 89, 12, 72, 87
• GCD of 36, 38, 18, 66
• GCD of 35, 26, 96, 87
• GCD of 39, 57, 18, 27

1. What is the GCD of 45, 90, 48, 89?

GCD of 45, 90, 48, 89 is 1

2. Where do I get the detailed procedure to find GCD of 45, 90, 48, 89?

You can find a detailed procedure to find GCD of 45, 90, 48, 89 on our page.

3. How to find GCD of 45, 90, 48, 89 on a calculator?

You can find the GCD of 45, 90, 48, 89 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.