GCD of 46, 483, 689, 313 Calculator

Given Input numbers are 46, 483, 689, 313

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 483

List of positive integer divisors of 483 that divides 483 without a remainder.

1, 3, 7, 21, 23, 69, 161, 483

Divisors of 689

List of positive integer divisors of 689 that divides 689 without a remainder.

1, 13, 53, 689

Divisors of 313

List of positive integer divisors of 313 that divides 313 without a remainder.

1, 313

Greatest Common Divisior

We found the divisors of 46, 483, 689, 313 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 46, 483, 689, 313 is 1.

Therefore, GCD of numbers 46, 483, 689, 313 is 1

Given Input Data is 46, 483, 689, 313

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

Prime Factorization of 46 is 2 x 23

Prime Factorization of 483 is 3 x 7 x 23

Prime Factorization of 689 is 13 x 53

Prime Factorization of 313 is 313

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, 483) = 966

GCD(46, 483) = ( 46 x 483 ) / 966

GCD(46, 483) = 22218 / 966

GCD(46, 483) = 23

Step2:

Here we consider the GCD from the above i.e. 23 as first number and the next as 689

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

LCM(23, 689) = 15847

GCD(23, 689) = ( 23 x 689 ) / 15847

GCD(23, 689) = 15847 / 15847

GCD(23, 689) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 313

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

LCM(1, 313) = 313

GCD(1, 313) = ( 1 x 313 ) / 313

GCD(1, 313) = 313 / 313

GCD(1, 313) = 1

GCD of 46, 483, 689, 313 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 53, 887, 828, 943
• GCD of 19, 314, 369, 560
• GCD of 69, 472, 636, 331
• GCD of 68, 195, 836, 828
• GCD of 15, 504, 300, 902

1. What is the GCD of 46, 483, 689, 313?

GCD of 46, 483, 689, 313 is 1

2. Where do I get the detailed procedure to find GCD of 46, 483, 689, 313?

You can find a detailed procedure to find GCD of 46, 483, 689, 313 on our page.

3. How to find GCD of 46, 483, 689, 313 on a calculator?

You can find the GCD of 46, 483, 689, 313 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.