GCD of 336, 343, 715 Calculator

Given Input numbers are 336, 343, 715

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 343

List of positive integer divisors of 343 that divides 343 without a remainder.

1, 7, 49, 343

Divisors of 715

List of positive integer divisors of 715 that divides 715 without a remainder.

1, 5, 11, 13, 55, 65, 143, 715

Greatest Common Divisior

We found the divisors of 336, 343, 715 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 336, 343, 715 is 1.

Therefore, GCD of numbers 336, 343, 715 is 1

Given Input Data is 336, 343, 715

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 343 is 7 x 7 x 7

Prime Factorization of 715 is 5 x 11 x 13

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, 343) = 16464

GCD(336, 343) = ( 336 x 343 ) / 16464

GCD(336, 343) = 115248 / 16464

GCD(336, 343) = 7

Step2:

Here we consider the GCD from the above i.e. 7 as first number and the next as 715

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

LCM(7, 715) = 5005

GCD(7, 715) = ( 7 x 715 ) / 5005

GCD(7, 715) = 5005 / 5005

GCD(7, 715) = 1

GCD of 336, 343, 715 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 243, 326, 699
• GCD of 210, 727, 127
• GCD of 726, 656, 822
• GCD of 222, 710, 629
• GCD of 279, 820, 486

1. What is the GCD of 336, 343, 715?

GCD of 336, 343, 715 is 1

2. Where do I get the detailed procedure to find GCD of 336, 343, 715?

You can find a detailed procedure to find GCD of 336, 343, 715 on our page.

3. How to find GCD of 336, 343, 715 on a calculator?

You can find the GCD of 336, 343, 715 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.