GCD of 46, 924, 163, 973 Calculator

Given Input numbers are 46, 924, 163, 973

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 924

List of positive integer divisors of 924 that divides 924 without a remainder.

1, 2, 3, 4, 6, 7, 11, 12, 14, 21, 22, 28, 33, 42, 44, 66, 77, 84, 132, 154, 231, 308, 462, 924

Divisors of 163

List of positive integer divisors of 163 that divides 163 without a remainder.

1, 163

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 46, 924, 163, 973 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 46, 924, 163, 973 is 1.

Therefore, GCD of numbers 46, 924, 163, 973 is 1

Given Input Data is 46, 924, 163, 973

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

Prime Factorization of 46 is 2 x 23

Prime Factorization of 924 is 2 x 2 x 3 x 7 x 11

Prime Factorization of 163 is 163

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(46, 924) = 21252

GCD(46, 924) = ( 46 x 924 ) / 21252

GCD(46, 924) = 42504 / 21252

GCD(46, 924) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 163

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

LCM(2, 163) = 326

GCD(2, 163) = ( 2 x 163 ) / 326

GCD(2, 163) = 326 / 326

GCD(2, 163) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 973

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

LCM(1, 973) = 973

GCD(1, 973) = ( 1 x 973 ) / 973

GCD(1, 973) = 973 / 973

GCD(1, 973) = 1

GCD of 46, 924, 163, 973 is 1

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1. What is the GCD of 46, 924, 163, 973?

GCD of 46, 924, 163, 973 is 1

2. Where do I get the detailed procedure to find GCD of 46, 924, 163, 973?

You can find a detailed procedure to find GCD of 46, 924, 163, 973 on our page.

3. How to find GCD of 46, 924, 163, 973 on a calculator?

You can find the GCD of 46, 924, 163, 973 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.