GCD of 32, 8, 96, 52 Calculator

Given Input numbers are 32, 8, 96, 52

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

Divisors of 32

List of positive integer divisors of 32 that divides 32 without a remainder.

1, 2, 4, 8, 16, 32

Divisors of 8

List of positive integer divisors of 8 that divides 8 without a remainder.

1, 2, 4, 8

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 52

List of positive integer divisors of 52 that divides 52 without a remainder.

1, 2, 4, 13, 26, 52

Greatest Common Divisior

We found the divisors of 32, 8, 96, 52 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 32, 8, 96, 52 is 4.

Therefore, GCD of numbers 32, 8, 96, 52 is 4

Given Input Data is 32, 8, 96, 52

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

Prime Factorization of 32 is 2 x 2 x 2 x 2 x 2

Prime Factorization of 8 is 2 x 2 x 2

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

Prime Factorization of 52 is 2 x 2 x 13

Highest common occurrences in the given inputs are 2²

Multiplying them we get the GCD as 4

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(32, 8) = 32

GCD(32, 8) = ( 32 x 8 ) / 32

GCD(32, 8) = 256 / 32

GCD(32, 8) = 8

Step2:

Here we consider the GCD from the above i.e. 8 as first number and the next as 96

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

LCM(8, 96) = 96

GCD(8, 96) = ( 8 x 96 ) / 96

GCD(8, 96) = 768 / 96

GCD(8, 96) = 8

Step3:

Here we consider the GCD from the above i.e. 8 as first number and the next as 52

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

LCM(8, 52) = 104

GCD(8, 52) = ( 8 x 52 ) / 104

GCD(8, 52) = 416 / 104

GCD(8, 52) = 4

GCD of 32, 8, 96, 52 is 4

Here are some samples of GCD of Numbers calculations.

• GCD of 97, 6, 75, 23
• GCD of 48, 6, 84, 20
• GCD of 15, 1, 67, 45
• GCD of 18, 9, 72, 76
• GCD of 83, 8, 80, 94

1. What is the GCD of 32, 8, 96, 52?

GCD of 32, 8, 96, 52 is 4

2. Where do I get the detailed procedure to find GCD of 32, 8, 96, 52?

You can find a detailed procedure to find GCD of 32, 8, 96, 52 on our page.

3. How to find GCD of 32, 8, 96, 52 on a calculator?

You can find the GCD of 32, 8, 96, 52 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.