GCD of 105, 645, 18, 973 Calculator

Given Input numbers are 105, 645, 18, 973

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

Divisors of 105

List of positive integer divisors of 105 that divides 105 without a remainder.

1, 3, 5, 7, 15, 21, 35, 105

Divisors of 645

List of positive integer divisors of 645 that divides 645 without a remainder.

1, 3, 5, 15, 43, 129, 215, 645

Divisors of 18

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

1, 2, 3, 6, 9, 18

Divisors of 973

List of positive integer divisors of 973 that divides 973 without a remainder.

1, 7, 139, 973

Greatest Common Divisior

We found the divisors of 105, 645, 18, 973 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 105, 645, 18, 973 is 1.

Therefore, GCD of numbers 105, 645, 18, 973 is 1

Given Input Data is 105, 645, 18, 973

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

Prime Factorization of 105 is 3 x 5 x 7

Prime Factorization of 645 is 3 x 5 x 43

Prime Factorization of 18 is 2 x 3 x 3

Prime Factorization of 973 is 7 x 139

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(105, 645) = 4515

GCD(105, 645) = ( 105 x 645 ) / 4515

GCD(105, 645) = 67725 / 4515

GCD(105, 645) = 15

Step2:

Here we consider the GCD from the above i.e. 15 as first number and the next as 18

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

LCM(15, 18) = 90

GCD(15, 18) = ( 15 x 18 ) / 90

GCD(15, 18) = 270 / 90

GCD(15, 18) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 973

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

LCM(3, 973) = 2919

GCD(3, 973) = ( 3 x 973 ) / 2919

GCD(3, 973) = 2919 / 2919

GCD(3, 973) = 1

GCD of 105, 645, 18, 973 is 1

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1. What is the GCD of 105, 645, 18, 973?

GCD of 105, 645, 18, 973 is 1

2. Where do I get the detailed procedure to find GCD of 105, 645, 18, 973?

You can find a detailed procedure to find GCD of 105, 645, 18, 973 on our page.

3. How to find GCD of 105, 645, 18, 973 on a calculator?

You can find the GCD of 105, 645, 18, 973 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.