GCD of 15, 43, 45, 59 Calculator

Given Input numbers are 15, 43, 45, 59

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

Divisors of 15

List of positive integer divisors of 15 that divides 15 without a remainder.

1, 3, 5, 15

Divisors of 43

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

1, 43

Divisors of 45

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

1, 3, 5, 9, 15, 45

Divisors of 59

List of positive integer divisors of 59 that divides 59 without a remainder.

1, 59

Greatest Common Divisior

We found the divisors of 15, 43, 45, 59 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 15, 43, 45, 59 is 1.

Therefore, GCD of numbers 15, 43, 45, 59 is 1

Given Input Data is 15, 43, 45, 59

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

Prime Factorization of 15 is 3 x 5

Prime Factorization of 43 is 43

Prime Factorization of 45 is 3 x 3 x 5

Prime Factorization of 59 is 59

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(15, 43) = 645

GCD(15, 43) = ( 15 x 43 ) / 645

GCD(15, 43) = 645 / 645

GCD(15, 43) = 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 59

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

LCM(1, 59) = 59

GCD(1, 59) = ( 1 x 59 ) / 59

GCD(1, 59) = 59 / 59

GCD(1, 59) = 1

GCD of 15, 43, 45, 59 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 30, 68, 39, 15
• GCD of 31, 51, 40, 64
• GCD of 55, 36, 37, 25
• GCD of 27, 47, 26, 72
• GCD of 56, 13, 33, 27

1. What is the GCD of 15, 43, 45, 59?

GCD of 15, 43, 45, 59 is 1

2. Where do I get the detailed procedure to find GCD of 15, 43, 45, 59?

You can find a detailed procedure to find GCD of 15, 43, 45, 59 on our page.

3. How to find GCD of 15, 43, 45, 59 on a calculator?

You can find the GCD of 15, 43, 45, 59 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.