GCD of 46, 336, 719, 518 Calculator

Given Input numbers are 46, 336, 719, 518

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 336

List of positive integer divisors of 336 that divides 336 without a remainder.

1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 42, 48, 56, 84, 112, 168, 336

Divisors of 719

List of positive integer divisors of 719 that divides 719 without a remainder.

1, 719

Divisors of 518

List of positive integer divisors of 518 that divides 518 without a remainder.

1, 2, 7, 14, 37, 74, 259, 518

Greatest Common Divisior

We found the divisors of 46, 336, 719, 518 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 46, 336, 719, 518 is 1.

Therefore, GCD of numbers 46, 336, 719, 518 is 1

Given Input Data is 46, 336, 719, 518

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

Prime Factorization of 46 is 2 x 23

Prime Factorization of 336 is 2 x 2 x 2 x 2 x 3 x 7

Prime Factorization of 719 is 719

Prime Factorization of 518 is 2 x 7 x 37

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, 336) = 7728

GCD(46, 336) = ( 46 x 336 ) / 7728

GCD(46, 336) = 15456 / 7728

GCD(46, 336) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 719

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

LCM(2, 719) = 1438

GCD(2, 719) = ( 2 x 719 ) / 1438

GCD(2, 719) = 1438 / 1438

GCD(2, 719) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 518

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

LCM(1, 518) = 518

GCD(1, 518) = ( 1 x 518 ) / 518

GCD(1, 518) = 518 / 518

GCD(1, 518) = 1

GCD of 46, 336, 719, 518 is 1

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1. What is the GCD of 46, 336, 719, 518?

GCD of 46, 336, 719, 518 is 1

2. Where do I get the detailed procedure to find GCD of 46, 336, 719, 518?

You can find a detailed procedure to find GCD of 46, 336, 719, 518 on our page.

3. How to find GCD of 46, 336, 719, 518 on a calculator?

You can find the GCD of 46, 336, 719, 518 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.