GCD of 459, 369, 49, 718 Calculator

Given Input numbers are 459, 369, 49, 718

To find the GCD of numbers using factoring list out all the divisors of each number

Divisors of 459

List of positive integer divisors of 459 that divides 459 without a remainder.

1, 3, 9, 17, 27, 51, 153, 459

Divisors of 369

List of positive integer divisors of 369 that divides 369 without a remainder.

1, 3, 9, 41, 123, 369

Divisors of 49

List of positive integer divisors of 49 that divides 49 without a remainder.

1, 7, 49

Divisors of 718

List of positive integer divisors of 718 that divides 718 without a remainder.

1, 2, 359, 718

Greatest Common Divisior

We found the divisors of 459, 369, 49, 718 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 459, 369, 49, 718 is 1.

Therefore, GCD of numbers 459, 369, 49, 718 is 1

Given Input Data is 459, 369, 49, 718

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

Prime Factorization of 459 is 3 x 3 x 3 x 17

Prime Factorization of 369 is 3 x 3 x 41

Prime Factorization of 49 is 7 x 7

Prime Factorization of 718 is 2 x 359

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(459, 369) = 18819

GCD(459, 369) = ( 459 x 369 ) / 18819

GCD(459, 369) = 169371 / 18819

GCD(459, 369) = 9

Step2:

Here we consider the GCD from the above i.e. 9 as first number and the next as 49

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

LCM(9, 49) = 441

GCD(9, 49) = ( 9 x 49 ) / 441

GCD(9, 49) = 441 / 441

GCD(9, 49) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 718

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

LCM(1, 718) = 718

GCD(1, 718) = ( 1 x 718 ) / 718

GCD(1, 718) = 718 / 718

GCD(1, 718) = 1

GCD of 459, 369, 49, 718 is 1

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1. What is the GCD of 459, 369, 49, 718?

GCD of 459, 369, 49, 718 is 1

2. Where do I get the detailed procedure to find GCD of 459, 369, 49, 718?

You can find a detailed procedure to find GCD of 459, 369, 49, 718 on our page.

3. How to find GCD of 459, 369, 49, 718 on a calculator?

You can find the GCD of 459, 369, 49, 718 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.