GCD of 715, 310, 21, 336 Calculator

Given Input numbers are 715, 310, 21, 336

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

Divisors of 715

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

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

Divisors of 310

List of positive integer divisors of 310 that divides 310 without a remainder.

1, 2, 5, 10, 31, 62, 155, 310

Divisors of 21

List of positive integer divisors of 21 that divides 21 without a remainder.

1, 3, 7, 21

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

Greatest Common Divisior

We found the divisors of 715, 310, 21, 336 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 715, 310, 21, 336 is 1.

Therefore, GCD of numbers 715, 310, 21, 336 is 1

Given Input Data is 715, 310, 21, 336

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

Prime Factorization of 715 is 5 x 11 x 13

Prime Factorization of 310 is 2 x 5 x 31

Prime Factorization of 21 is 3 x 7

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

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(715, 310) = 44330

GCD(715, 310) = ( 715 x 310 ) / 44330

GCD(715, 310) = 221650 / 44330

GCD(715, 310) = 5

Step2:

Here we consider the GCD from the above i.e. 5 as first number and the next as 21

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

LCM(5, 21) = 105

GCD(5, 21) = ( 5 x 21 ) / 105

GCD(5, 21) = 105 / 105

GCD(5, 21) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 336

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

LCM(1, 336) = 336

GCD(1, 336) = ( 1 x 336 ) / 336

GCD(1, 336) = 336 / 336

GCD(1, 336) = 1

GCD of 715, 310, 21, 336 is 1

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• GCD of 709, 447, 11, 425
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1. What is the GCD of 715, 310, 21, 336?

GCD of 715, 310, 21, 336 is 1

2. Where do I get the detailed procedure to find GCD of 715, 310, 21, 336?

You can find a detailed procedure to find GCD of 715, 310, 21, 336 on our page.

3. How to find GCD of 715, 310, 21, 336 on a calculator?

You can find the GCD of 715, 310, 21, 336 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.