GCD of 93, 72, 45, 96 Calculator

Given Input numbers are 93, 72, 45, 96

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

Divisors of 93

List of positive integer divisors of 93 that divides 93 without a remainder.

1, 3, 31, 93

Divisors of 72

List of positive integer divisors of 72 that divides 72 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72

Divisors of 45

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

1, 3, 5, 9, 15, 45

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

Greatest Common Divisior

We found the divisors of 93, 72, 45, 96 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 93, 72, 45, 96 is 3.

Therefore, GCD of numbers 93, 72, 45, 96 is 3

Given Input Data is 93, 72, 45, 96

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

Prime Factorization of 93 is 3 x 31

Prime Factorization of 72 is 2 x 2 x 2 x 3 x 3

Prime Factorization of 45 is 3 x 3 x 5

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

Highest common occurrences in the given inputs are 3¹

Multiplying them we get the GCD as 3

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(93, 72) = 2232

GCD(93, 72) = ( 93 x 72 ) / 2232

GCD(93, 72) = 6696 / 2232

GCD(93, 72) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 45

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

LCM(3, 45) = 45

GCD(3, 45) = ( 3 x 45 ) / 45

GCD(3, 45) = 135 / 45

GCD(3, 45) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 96

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

LCM(3, 96) = 96

GCD(3, 96) = ( 3 x 96 ) / 96

GCD(3, 96) = 288 / 96

GCD(3, 96) = 3

GCD of 93, 72, 45, 96 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 22, 43, 46, 60
• GCD of 87, 48, 87, 28
• GCD of 14, 38, 79, 65
• GCD of 89, 13, 70, 55
• GCD of 29, 79, 26, 27

1. What is the GCD of 93, 72, 45, 96?

GCD of 93, 72, 45, 96 is 3

2. Where do I get the detailed procedure to find GCD of 93, 72, 45, 96?

You can find a detailed procedure to find GCD of 93, 72, 45, 96 on our page.

3. How to find GCD of 93, 72, 45, 96 on a calculator?

You can find the GCD of 93, 72, 45, 96 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.