GCD of 50, 42, 90, 96 Calculator

Given Input numbers are 50, 42, 90, 96

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

Divisors of 50

List of positive integer divisors of 50 that divides 50 without a remainder.

1, 2, 5, 10, 25, 50

Divisors of 42

List of positive integer divisors of 42 that divides 42 without a remainder.

1, 2, 3, 6, 7, 14, 21, 42

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 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 50, 42, 90, 96 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 50, 42, 90, 96 is 2.

Therefore, GCD of numbers 50, 42, 90, 96 is 2

Given Input Data is 50, 42, 90, 96

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

Prime Factorization of 50 is 2 x 5 x 5

Prime Factorization of 42 is 2 x 3 x 7

Prime Factorization of 90 is 2 x 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 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(50, 42) = 1050

GCD(50, 42) = ( 50 x 42 ) / 1050

GCD(50, 42) = 2100 / 1050

GCD(50, 42) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 90

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

LCM(2, 90) = 90

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

GCD(2, 90) = 180 / 90

GCD(2, 90) = 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 50, 42, 90, 96 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 34, 92, 31, 60
• GCD of 63, 92, 52, 98
• GCD of 51, 28, 19, 65
• GCD of 78, 23, 53, 52
• GCD of 36, 19, 87, 45

1. What is the GCD of 50, 42, 90, 96?

GCD of 50, 42, 90, 96 is 2

2. Where do I get the detailed procedure to find GCD of 50, 42, 90, 96?

You can find a detailed procedure to find GCD of 50, 42, 90, 96 on our page.

3. How to find GCD of 50, 42, 90, 96 on a calculator?

You can find the GCD of 50, 42, 90, 96 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.