GCD of 96, 20, 58, 45 Calculator

Given Input numbers are 96, 20, 58, 45

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

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 20

List of positive integer divisors of 20 that divides 20 without a remainder.

1, 2, 4, 5, 10, 20

Divisors of 58

List of positive integer divisors of 58 that divides 58 without a remainder.

1, 2, 29, 58

Divisors of 45

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

1, 3, 5, 9, 15, 45

Greatest Common Divisior

We found the divisors of 96, 20, 58, 45 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 96, 20, 58, 45 is 1.

Therefore, GCD of numbers 96, 20, 58, 45 is 1

Given Input Data is 96, 20, 58, 45

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

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

Prime Factorization of 20 is 2 x 2 x 5

Prime Factorization of 58 is 2 x 29

Prime Factorization of 45 is 3 x 3 x 5

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(96, 20) = 480

GCD(96, 20) = ( 96 x 20 ) / 480

GCD(96, 20) = 1920 / 480

GCD(96, 20) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 58

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

LCM(4, 58) = 116

GCD(4, 58) = ( 4 x 58 ) / 116

GCD(4, 58) = 232 / 116

GCD(4, 58) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 45

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

LCM(2, 45) = 90

GCD(2, 45) = ( 2 x 45 ) / 90

GCD(2, 45) = 90 / 90

GCD(2, 45) = 1

GCD of 96, 20, 58, 45 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 78, 19, 73, 43
• GCD of 41, 49, 29, 85
• GCD of 89, 12, 99, 52
• GCD of 95, 74, 47, 67
• GCD of 45, 25, 29, 59

1. What is the GCD of 96, 20, 58, 45?

GCD of 96, 20, 58, 45 is 1

2. Where do I get the detailed procedure to find GCD of 96, 20, 58, 45?

You can find a detailed procedure to find GCD of 96, 20, 58, 45 on our page.

3. How to find GCD of 96, 20, 58, 45 on a calculator?

You can find the GCD of 96, 20, 58, 45 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.