GCD of 32, 14, 30, 10 Calculator

Given Input numbers are 32, 14, 30, 10

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 14

List of positive integer divisors of 14 that divides 14 without a remainder.

1, 2, 7, 14

Divisors of 30

List of positive integer divisors of 30 that divides 30 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30

Divisors of 10

List of positive integer divisors of 10 that divides 10 without a remainder.

1, 2, 5, 10

Greatest Common Divisior

We found the divisors of 32, 14, 30, 10 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 32, 14, 30, 10 is 2.

Therefore, GCD of numbers 32, 14, 30, 10 is 2

Given Input Data is 32, 14, 30, 10

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 14 is 2 x 7

Prime Factorization of 30 is 2 x 3 x 5

Prime Factorization of 10 is 2 x 5

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(32, 14) = 224

GCD(32, 14) = ( 32 x 14 ) / 224

GCD(32, 14) = 448 / 224

GCD(32, 14) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 30

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

LCM(2, 30) = 30

GCD(2, 30) = ( 2 x 30 ) / 30

GCD(2, 30) = 60 / 30

GCD(2, 30) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 10

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

LCM(2, 10) = 10

GCD(2, 10) = ( 2 x 10 ) / 10

GCD(2, 10) = 20 / 10

GCD(2, 10) = 2

GCD of 32, 14, 30, 10 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 33, 49, 48, 79
• GCD of 69, 92, 87, 23
• GCD of 13, 64, 52, 60
• GCD of 61, 94, 69, 95
• GCD of 25, 36, 82, 60

1. What is the GCD of 32, 14, 30, 10?

GCD of 32, 14, 30, 10 is 2

2. Where do I get the detailed procedure to find GCD of 32, 14, 30, 10?

You can find a detailed procedure to find GCD of 32, 14, 30, 10 on our page.

3. How to find GCD of 32, 14, 30, 10 on a calculator?

You can find the GCD of 32, 14, 30, 10 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.