GCD of 336, 722, 27, 415 Calculator

Given Input numbers are 336, 722, 27, 415

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

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 722

List of positive integer divisors of 722 that divides 722 without a remainder.

1, 2, 19, 38, 361, 722

Divisors of 27

List of positive integer divisors of 27 that divides 27 without a remainder.

1, 3, 9, 27

Divisors of 415

List of positive integer divisors of 415 that divides 415 without a remainder.

1, 5, 83, 415

Greatest Common Divisior

We found the divisors of 336, 722, 27, 415 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 336, 722, 27, 415 is 1.

Therefore, GCD of numbers 336, 722, 27, 415 is 1

Given Input Data is 336, 722, 27, 415

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

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

Prime Factorization of 722 is 2 x 19 x 19

Prime Factorization of 27 is 3 x 3 x 3

Prime Factorization of 415 is 5 x 83

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(336, 722) = 121296

GCD(336, 722) = ( 336 x 722 ) / 121296

GCD(336, 722) = 242592 / 121296

GCD(336, 722) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 27

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

LCM(2, 27) = 54

GCD(2, 27) = ( 2 x 27 ) / 54

GCD(2, 27) = 54 / 54

GCD(2, 27) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 415

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

LCM(1, 415) = 415

GCD(1, 415) = ( 1 x 415 ) / 415

GCD(1, 415) = 415 / 415

GCD(1, 415) = 1

GCD of 336, 722, 27, 415 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 316, 329, 32, 877
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• GCD of 631, 462, 41, 335
• GCD of 257, 761, 42, 359

1. What is the GCD of 336, 722, 27, 415?

GCD of 336, 722, 27, 415 is 1

2. Where do I get the detailed procedure to find GCD of 336, 722, 27, 415?

You can find a detailed procedure to find GCD of 336, 722, 27, 415 on our page.

3. How to find GCD of 336, 722, 27, 415 on a calculator?

You can find the GCD of 336, 722, 27, 415 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.