GCD of 43, 14, 45, 12 Calculator

Given Input numbers are 43, 14, 45, 12

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

Divisors of 43

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

1, 43

Divisors of 14

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

1, 2, 7, 14

Divisors of 45

List of positive integer divisors of 45 that divides 45 without a remainder.

1, 3, 5, 9, 15, 45

Divisors of 12

List of positive integer divisors of 12 that divides 12 without a remainder.

1, 2, 3, 4, 6, 12

Greatest Common Divisior

We found the divisors of 43, 14, 45, 12 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 43, 14, 45, 12 is 1.

Therefore, GCD of numbers 43, 14, 45, 12 is 1

Given Input Data is 43, 14, 45, 12

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

Prime Factorization of 43 is 43

Prime Factorization of 14 is 2 x 7

Prime Factorization of 45 is 3 x 3 x 5

Prime Factorization of 12 is 2 x 2 x 3

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(43, 14) = 602

GCD(43, 14) = ( 43 x 14 ) / 602

GCD(43, 14) = 602 / 602

GCD(43, 14) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 45

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

LCM(1, 45) = 45

GCD(1, 45) = ( 1 x 45 ) / 45

GCD(1, 45) = 45 / 45

GCD(1, 45) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 12

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

LCM(1, 12) = 12

GCD(1, 12) = ( 1 x 12 ) / 12

GCD(1, 12) = 12 / 12

GCD(1, 12) = 1

GCD of 43, 14, 45, 12 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 24, 45, 48, 56
• GCD of 22, 18, 32, 25
• GCD of 66, 29, 14, 70
• GCD of 84, 49, 11, 37
• GCD of 99, 20, 31, 72

1. What is the GCD of 43, 14, 45, 12?

GCD of 43, 14, 45, 12 is 1

2. Where do I get the detailed procedure to find GCD of 43, 14, 45, 12?

You can find a detailed procedure to find GCD of 43, 14, 45, 12 on our page.

3. How to find GCD of 43, 14, 45, 12 on a calculator?

You can find the GCD of 43, 14, 45, 12 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.