GCD of 45, 60, 83, 24 Calculator

Given Input numbers are 45, 60, 83, 24

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

Divisors of 45

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

1, 3, 5, 9, 15, 45

Divisors of 60

List of positive integer divisors of 60 that divides 60 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60

Divisors of 83

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

1, 83

Divisors of 24

List of positive integer divisors of 24 that divides 24 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24

Greatest Common Divisior

We found the divisors of 45, 60, 83, 24 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 45, 60, 83, 24 is 1.

Therefore, GCD of numbers 45, 60, 83, 24 is 1

Given Input Data is 45, 60, 83, 24

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

Prime Factorization of 45 is 3 x 3 x 5

Prime Factorization of 60 is 2 x 2 x 3 x 5

Prime Factorization of 83 is 83

Prime Factorization of 24 is 2 x 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(45, 60) = 180

GCD(45, 60) = ( 45 x 60 ) / 180

GCD(45, 60) = 2700 / 180

GCD(45, 60) = 15

Step2:

Here we consider the GCD from the above i.e. 15 as first number and the next as 83

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

LCM(15, 83) = 1245

GCD(15, 83) = ( 15 x 83 ) / 1245

GCD(15, 83) = 1245 / 1245

GCD(15, 83) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 24

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

LCM(1, 24) = 24

GCD(1, 24) = ( 1 x 24 ) / 24

GCD(1, 24) = 24 / 24

GCD(1, 24) = 1

GCD of 45, 60, 83, 24 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 74, 32, 75, 60
• GCD of 28, 11, 17, 57
• GCD of 60, 11, 43, 67
• GCD of 87, 33, 70, 89
• GCD of 73, 44, 98, 96

1. What is the GCD of 45, 60, 83, 24?

GCD of 45, 60, 83, 24 is 1

2. Where do I get the detailed procedure to find GCD of 45, 60, 83, 24?

You can find a detailed procedure to find GCD of 45, 60, 83, 24 on our page.

3. How to find GCD of 45, 60, 83, 24 on a calculator?

You can find the GCD of 45, 60, 83, 24 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.