GCD of 46, 90, 18, 83 Calculator

Given Input numbers are 46, 90, 18, 83

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

Divisors of 46

List of positive integer divisors of 46 that divides 46 without a remainder.

1, 2, 23, 46

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 18

List of positive integer divisors of 18 that divides 18 without a remainder.

1, 2, 3, 6, 9, 18

Divisors of 83

List of positive integer divisors of 83 that divides 83 without a remainder.

1, 83

Greatest Common Divisior

We found the divisors of 46, 90, 18, 83 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 46, 90, 18, 83 is 1.

Therefore, GCD of numbers 46, 90, 18, 83 is 1

Given Input Data is 46, 90, 18, 83

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

Prime Factorization of 46 is 2 x 23

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

Prime Factorization of 18 is 2 x 3 x 3

Prime Factorization of 83 is 83

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(46, 90) = 2070

GCD(46, 90) = ( 46 x 90 ) / 2070

GCD(46, 90) = 4140 / 2070

GCD(46, 90) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 18

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

LCM(2, 18) = 18

GCD(2, 18) = ( 2 x 18 ) / 18

GCD(2, 18) = 36 / 18

GCD(2, 18) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 83

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

LCM(2, 83) = 166

GCD(2, 83) = ( 2 x 83 ) / 166

GCD(2, 83) = 166 / 166

GCD(2, 83) = 1

GCD of 46, 90, 18, 83 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 71, 83, 91, 37
• GCD of 38, 99, 38, 78
• GCD of 50, 74, 69, 39
• GCD of 24, 72, 63, 37
• GCD of 84, 27, 76, 42

1. What is the GCD of 46, 90, 18, 83?

GCD of 46, 90, 18, 83 is 1

2. Where do I get the detailed procedure to find GCD of 46, 90, 18, 83?

You can find a detailed procedure to find GCD of 46, 90, 18, 83 on our page.

3. How to find GCD of 46, 90, 18, 83 on a calculator?

You can find the GCD of 46, 90, 18, 83 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.