GCD of 42, 15, 90, 43 Calculator

Given Input numbers are 42, 15, 90, 43

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

Divisors of 42

List of positive integer divisors of 42 that divides 42 without a remainder.

1, 2, 3, 6, 7, 14, 21, 42

Divisors of 15

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

1, 3, 5, 15

Divisors of 90

List of positive integer divisors of 90 that divides 90 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 90

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 42, 15, 90, 43 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 42, 15, 90, 43 is 1.

Therefore, GCD of numbers 42, 15, 90, 43 is 1

Given Input Data is 42, 15, 90, 43

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

Prime Factorization of 42 is 2 x 3 x 7

Prime Factorization of 15 is 3 x 5

Prime Factorization of 90 is 2 x 3 x 3 x 5

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(42, 15) = 210

GCD(42, 15) = ( 42 x 15 ) / 210

GCD(42, 15) = 630 / 210

GCD(42, 15) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 90

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

LCM(3, 90) = 90

GCD(3, 90) = ( 3 x 90 ) / 90

GCD(3, 90) = 270 / 90

GCD(3, 90) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 43

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

LCM(3, 43) = 129

GCD(3, 43) = ( 3 x 43 ) / 129

GCD(3, 43) = 129 / 129

GCD(3, 43) = 1

GCD of 42, 15, 90, 43 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 23, 26, 34, 76
• GCD of 37, 54, 22, 28
• GCD of 58, 54, 36, 91
• GCD of 20, 43, 56, 16
• GCD of 25, 55, 90, 70

1. What is the GCD of 42, 15, 90, 43?

GCD of 42, 15, 90, 43 is 1

2. Where do I get the detailed procedure to find GCD of 42, 15, 90, 43?

You can find a detailed procedure to find GCD of 42, 15, 90, 43 on our page.

3. How to find GCD of 42, 15, 90, 43 on a calculator?

You can find the GCD of 42, 15, 90, 43 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.