GCD of 46, 74, 28, 96 Calculator

Given Input numbers are 46, 74, 28, 96

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

Divisors of 46

List of positive integer divisors of 46 that divides 46 without a remainder.

1, 2, 23, 46

Divisors of 74

List of positive integer divisors of 74 that divides 74 without a remainder.

1, 2, 37, 74

Divisors of 28

List of positive integer divisors of 28 that divides 28 without a remainder.

1, 2, 4, 7, 14, 28

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 46, 74, 28, 96 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 46, 74, 28, 96 is 2.

Therefore, GCD of numbers 46, 74, 28, 96 is 2

Given Input Data is 46, 74, 28, 96

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

Prime Factorization of 46 is 2 x 23

Prime Factorization of 74 is 2 x 37

Prime Factorization of 28 is 2 x 2 x 7

Prime Factorization of 96 is 2 x 2 x 2 x 2 x 2 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(46, 74) = 1702

GCD(46, 74) = ( 46 x 74 ) / 1702

GCD(46, 74) = 3404 / 1702

GCD(46, 74) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 28

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

LCM(2, 28) = 28

GCD(2, 28) = ( 2 x 28 ) / 28

GCD(2, 28) = 56 / 28

GCD(2, 28) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 96

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

LCM(2, 96) = 96

GCD(2, 96) = ( 2 x 96 ) / 96

GCD(2, 96) = 192 / 96

GCD(2, 96) = 2

GCD of 46, 74, 28, 96 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 28, 99, 90, 42
• GCD of 10, 34, 78, 70
• GCD of 21, 40, 80, 89
• GCD of 68, 10, 60, 95
• GCD of 47, 77, 44, 56

1. What is the GCD of 46, 74, 28, 96?

GCD of 46, 74, 28, 96 is 2

2. Where do I get the detailed procedure to find GCD of 46, 74, 28, 96?

You can find a detailed procedure to find GCD of 46, 74, 28, 96 on our page.

3. How to find GCD of 46, 74, 28, 96 on a calculator?

You can find the GCD of 46, 74, 28, 96 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.