GCD of 46, 993, 684, 159 Calculator

Given Input numbers are 46, 993, 684, 159

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 993

List of positive integer divisors of 993 that divides 993 without a remainder.

1, 3, 331, 993

Divisors of 684

List of positive integer divisors of 684 that divides 684 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 19, 36, 38, 57, 76, 114, 171, 228, 342, 684

Divisors of 159

List of positive integer divisors of 159 that divides 159 without a remainder.

1, 3, 53, 159

Greatest Common Divisior

We found the divisors of 46, 993, 684, 159 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 46, 993, 684, 159 is 1.

Therefore, GCD of numbers 46, 993, 684, 159 is 1

Given Input Data is 46, 993, 684, 159

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

Prime Factorization of 46 is 2 x 23

Prime Factorization of 993 is 3 x 331

Prime Factorization of 684 is 2 x 2 x 3 x 3 x 19

Prime Factorization of 159 is 3 x 53

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, 993) = 45678

GCD(46, 993) = ( 46 x 993 ) / 45678

GCD(46, 993) = 45678 / 45678

GCD(46, 993) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 684

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

LCM(1, 684) = 684

GCD(1, 684) = ( 1 x 684 ) / 684

GCD(1, 684) = 684 / 684

GCD(1, 684) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 159

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

LCM(1, 159) = 159

GCD(1, 159) = ( 1 x 159 ) / 159

GCD(1, 159) = 159 / 159

GCD(1, 159) = 1

GCD of 46, 993, 684, 159 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 14, 868, 775, 828
• GCD of 30, 410, 198, 167
• GCD of 42, 111, 429, 686
• GCD of 19, 407, 991, 733
• GCD of 39, 144, 839, 444

1. What is the GCD of 46, 993, 684, 159?

GCD of 46, 993, 684, 159 is 1

2. Where do I get the detailed procedure to find GCD of 46, 993, 684, 159?

You can find a detailed procedure to find GCD of 46, 993, 684, 159 on our page.

3. How to find GCD of 46, 993, 684, 159 on a calculator?

You can find the GCD of 46, 993, 684, 159 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.