GCD of 46, 512, 104, 991 Calculator

Given Input numbers are 46, 512, 104, 991

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 512

List of positive integer divisors of 512 that divides 512 without a remainder.

1, 2, 4, 8, 16, 32, 64, 128, 256, 512

Divisors of 104

List of positive integer divisors of 104 that divides 104 without a remainder.

1, 2, 4, 8, 13, 26, 52, 104

Divisors of 991

List of positive integer divisors of 991 that divides 991 without a remainder.

1, 991

Greatest Common Divisior

We found the divisors of 46, 512, 104, 991 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 46, 512, 104, 991 is 1.

Therefore, GCD of numbers 46, 512, 104, 991 is 1

Given Input Data is 46, 512, 104, 991

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

Prime Factorization of 46 is 2 x 23

Prime Factorization of 512 is 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2

Prime Factorization of 104 is 2 x 2 x 2 x 13

Prime Factorization of 991 is 991

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, 512) = 11776

GCD(46, 512) = ( 46 x 512 ) / 11776

GCD(46, 512) = 23552 / 11776

GCD(46, 512) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 104

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

LCM(2, 104) = 104

GCD(2, 104) = ( 2 x 104 ) / 104

GCD(2, 104) = 208 / 104

GCD(2, 104) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 991

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

LCM(2, 991) = 1982

GCD(2, 991) = ( 2 x 991 ) / 1982

GCD(2, 991) = 1982 / 1982

GCD(2, 991) = 1

GCD of 46, 512, 104, 991 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 30, 323, 780, 620
• GCD of 72, 516, 619, 829
• GCD of 13, 706, 744, 738
• GCD of 45, 563, 964, 341
• GCD of 97, 996, 866, 785

1. What is the GCD of 46, 512, 104, 991?

GCD of 46, 512, 104, 991 is 1

2. Where do I get the detailed procedure to find GCD of 46, 512, 104, 991?

You can find a detailed procedure to find GCD of 46, 512, 104, 991 on our page.

3. How to find GCD of 46, 512, 104, 991 on a calculator?

You can find the GCD of 46, 512, 104, 991 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.