GCD of 16, 75, 31, 43 Calculator

Given Input numbers are 16, 75, 31, 43

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

Divisors of 16

List of positive integer divisors of 16 that divides 16 without a remainder.

1, 2, 4, 8, 16

Divisors of 75

List of positive integer divisors of 75 that divides 75 without a remainder.

1, 3, 5, 15, 25, 75

Divisors of 31

List of positive integer divisors of 31 that divides 31 without a remainder.

1, 31

Divisors of 43

List of positive integer divisors of 43 that divides 43 without a remainder.

1, 43

Greatest Common Divisior

We found the divisors of 16, 75, 31, 43 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 16, 75, 31, 43 is 1.

Therefore, GCD of numbers 16, 75, 31, 43 is 1

Given Input Data is 16, 75, 31, 43

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

Prime Factorization of 16 is 2 x 2 x 2 x 2

Prime Factorization of 75 is 3 x 5 x 5

Prime Factorization of 31 is 31

Prime Factorization of 43 is 43

The above numbers do not have any common prime factor. So GCD is 1

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(16, 75) = 1200

GCD(16, 75) = ( 16 x 75 ) / 1200

GCD(16, 75) = 1200 / 1200

GCD(16, 75) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 31

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

LCM(1, 31) = 31

GCD(1, 31) = ( 1 x 31 ) / 31

GCD(1, 31) = 31 / 31

GCD(1, 31) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 43

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

LCM(1, 43) = 43

GCD(1, 43) = ( 1 x 43 ) / 43

GCD(1, 43) = 43 / 43

GCD(1, 43) = 1

GCD of 16, 75, 31, 43 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 67, 33, 88, 42
• GCD of 96, 11, 16, 21
• GCD of 47, 86, 78, 75
• GCD of 63, 85, 83, 55
• GCD of 73, 36, 56, 17

1. What is the GCD of 16, 75, 31, 43?

GCD of 16, 75, 31, 43 is 1

2. Where do I get the detailed procedure to find GCD of 16, 75, 31, 43?

You can find a detailed procedure to find GCD of 16, 75, 31, 43 on our page.

3. How to find GCD of 16, 75, 31, 43 on a calculator?

You can find the GCD of 16, 75, 31, 43 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.