GCD of 94, 38, 72, 36 Calculator

Given Input numbers are 94, 38, 72, 36

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

Divisors of 94

List of positive integer divisors of 94 that divides 94 without a remainder.

1, 2, 47, 94

Divisors of 38

List of positive integer divisors of 38 that divides 38 without a remainder.

1, 2, 19, 38

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 36

List of positive integer divisors of 36 that divides 36 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 36

Greatest Common Divisior

We found the divisors of 94, 38, 72, 36 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 94, 38, 72, 36 is 2.

Therefore, GCD of numbers 94, 38, 72, 36 is 2

Given Input Data is 94, 38, 72, 36

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

Prime Factorization of 94 is 2 x 47

Prime Factorization of 38 is 2 x 19

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

Prime Factorization of 36 is 2 x 2 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(94, 38) = 1786

GCD(94, 38) = ( 94 x 38 ) / 1786

GCD(94, 38) = 3572 / 1786

GCD(94, 38) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 72

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

LCM(2, 72) = 72

GCD(2, 72) = ( 2 x 72 ) / 72

GCD(2, 72) = 144 / 72

GCD(2, 72) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 36

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

LCM(2, 36) = 36

GCD(2, 36) = ( 2 x 36 ) / 36

GCD(2, 36) = 72 / 36

GCD(2, 36) = 2

GCD of 94, 38, 72, 36 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 46, 27, 16, 22
• GCD of 62, 21, 28, 21
• GCD of 28, 70, 46, 49
• GCD of 69, 92, 91, 40
• GCD of 59, 89, 30, 96

1. What is the GCD of 94, 38, 72, 36?

GCD of 94, 38, 72, 36 is 2

2. Where do I get the detailed procedure to find GCD of 94, 38, 72, 36?

You can find a detailed procedure to find GCD of 94, 38, 72, 36 on our page.

3. How to find GCD of 94, 38, 72, 36 on a calculator?

You can find the GCD of 94, 38, 72, 36 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.