GCD of 96, 40, 90, 54 Calculator

Given Input numbers are 96, 40, 90, 54

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 40

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

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

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 54

List of positive integer divisors of 54 that divides 54 without a remainder.

1, 2, 3, 6, 9, 18, 27, 54

Greatest Common Divisior

We found the divisors of 96, 40, 90, 54 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 96, 40, 90, 54 is 2.

Therefore, GCD of numbers 96, 40, 90, 54 is 2

Given Input Data is 96, 40, 90, 54

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 40 is 2 x 2 x 2 x 5

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

Prime Factorization of 54 is 2 x 3 x 3 x 3

Highest common occurrences in the given inputs are 2¹

Multiplying them we get the GCD as 2

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, 40) = 480

GCD(96, 40) = ( 96 x 40 ) / 480

GCD(96, 40) = 3840 / 480

GCD(96, 40) = 8

Step2:

Here we consider the GCD from the above i.e. 8 as first number and the next as 90

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

LCM(8, 90) = 360

GCD(8, 90) = ( 8 x 90 ) / 360

GCD(8, 90) = 720 / 360

GCD(8, 90) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 54

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

LCM(2, 54) = 54

GCD(2, 54) = ( 2 x 54 ) / 54

GCD(2, 54) = 108 / 54

GCD(2, 54) = 2

GCD of 96, 40, 90, 54 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 50, 68, 67, 95
• GCD of 77, 97, 83, 50
• GCD of 10, 29, 74, 88
• GCD of 52, 10, 65, 64
• GCD of 62, 46, 61, 10

1. What is the GCD of 96, 40, 90, 54?

GCD of 96, 40, 90, 54 is 2

2. Where do I get the detailed procedure to find GCD of 96, 40, 90, 54?

You can find a detailed procedure to find GCD of 96, 40, 90, 54 on our page.

3. How to find GCD of 96, 40, 90, 54 on a calculator?

You can find the GCD of 96, 40, 90, 54 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.