GCD of 46, 676, 613, 813 Calculator

Given Input numbers are 46, 676, 613, 813

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 676

List of positive integer divisors of 676 that divides 676 without a remainder.

1, 2, 4, 13, 26, 52, 169, 338, 676

Divisors of 613

List of positive integer divisors of 613 that divides 613 without a remainder.

1, 613

Divisors of 813

List of positive integer divisors of 813 that divides 813 without a remainder.

1, 3, 271, 813

Greatest Common Divisior

We found the divisors of 46, 676, 613, 813 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 46, 676, 613, 813 is 1.

Therefore, GCD of numbers 46, 676, 613, 813 is 1

Given Input Data is 46, 676, 613, 813

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

Prime Factorization of 46 is 2 x 23

Prime Factorization of 676 is 2 x 2 x 13 x 13

Prime Factorization of 613 is 613

Prime Factorization of 813 is 3 x 271

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, 676) = 15548

GCD(46, 676) = ( 46 x 676 ) / 15548

GCD(46, 676) = 31096 / 15548

GCD(46, 676) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 613

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

LCM(2, 613) = 1226

GCD(2, 613) = ( 2 x 613 ) / 1226

GCD(2, 613) = 1226 / 1226

GCD(2, 613) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 813

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

LCM(1, 813) = 813

GCD(1, 813) = ( 1 x 813 ) / 813

GCD(1, 813) = 813 / 813

GCD(1, 813) = 1

GCD of 46, 676, 613, 813 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 14, 847, 405, 711
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• GCD of 77, 901, 542, 239

1. What is the GCD of 46, 676, 613, 813?

GCD of 46, 676, 613, 813 is 1

2. Where do I get the detailed procedure to find GCD of 46, 676, 613, 813?

You can find a detailed procedure to find GCD of 46, 676, 613, 813 on our page.

3. How to find GCD of 46, 676, 613, 813 on a calculator?

You can find the GCD of 46, 676, 613, 813 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.