GCD of 46, 782, 229, 361 Calculator

Given Input numbers are 46, 782, 229, 361

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 782

List of positive integer divisors of 782 that divides 782 without a remainder.

1, 2, 17, 23, 34, 46, 391, 782

Divisors of 229

List of positive integer divisors of 229 that divides 229 without a remainder.

1, 229

Divisors of 361

List of positive integer divisors of 361 that divides 361 without a remainder.

1, 19, 361

Greatest Common Divisior

We found the divisors of 46, 782, 229, 361 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 46, 782, 229, 361 is 1.

Therefore, GCD of numbers 46, 782, 229, 361 is 1

Given Input Data is 46, 782, 229, 361

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

Prime Factorization of 46 is 2 x 23

Prime Factorization of 782 is 2 x 17 x 23

Prime Factorization of 229 is 229

Prime Factorization of 361 is 19 x 19

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, 782) = 782

GCD(46, 782) = ( 46 x 782 ) / 782

GCD(46, 782) = 35972 / 782

GCD(46, 782) = 46

Step2:

Here we consider the GCD from the above i.e. 46 as first number and the next as 229

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

LCM(46, 229) = 10534

GCD(46, 229) = ( 46 x 229 ) / 10534

GCD(46, 229) = 10534 / 10534

GCD(46, 229) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 361

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

LCM(1, 361) = 361

GCD(1, 361) = ( 1 x 361 ) / 361

GCD(1, 361) = 361 / 361

GCD(1, 361) = 1

GCD of 46, 782, 229, 361 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 53, 132, 192, 531
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• GCD of 17, 607, 441, 742

1. What is the GCD of 46, 782, 229, 361?

GCD of 46, 782, 229, 361 is 1

2. Where do I get the detailed procedure to find GCD of 46, 782, 229, 361?

You can find a detailed procedure to find GCD of 46, 782, 229, 361 on our page.

3. How to find GCD of 46, 782, 229, 361 on a calculator?

You can find the GCD of 46, 782, 229, 361 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.