GCD of 715, 378, 14, 217 Calculator

Given Input numbers are 715, 378, 14, 217

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 378

List of positive integer divisors of 378 that divides 378 without a remainder.

1, 2, 3, 6, 7, 9, 14, 18, 21, 27, 42, 54, 63, 126, 189, 378

Divisors of 14

List of positive integer divisors of 14 that divides 14 without a remainder.

1, 2, 7, 14

Divisors of 217

List of positive integer divisors of 217 that divides 217 without a remainder.

1, 7, 31, 217

Greatest Common Divisior

We found the divisors of 715, 378, 14, 217 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 715, 378, 14, 217 is 1.

Therefore, GCD of numbers 715, 378, 14, 217 is 1

Given Input Data is 715, 378, 14, 217

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 378 is 2 x 3 x 3 x 3 x 7

Prime Factorization of 14 is 2 x 7

Prime Factorization of 217 is 7 x 31

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, 378) = 270270

GCD(715, 378) = ( 715 x 378 ) / 270270

GCD(715, 378) = 270270 / 270270

GCD(715, 378) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 14

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

LCM(1, 14) = 14

GCD(1, 14) = ( 1 x 14 ) / 14

GCD(1, 14) = 14 / 14

GCD(1, 14) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 217

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

LCM(1, 217) = 217

GCD(1, 217) = ( 1 x 217 ) / 217

GCD(1, 217) = 217 / 217

GCD(1, 217) = 1

GCD of 715, 378, 14, 217 is 1

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1. What is the GCD of 715, 378, 14, 217?

GCD of 715, 378, 14, 217 is 1

2. Where do I get the detailed procedure to find GCD of 715, 378, 14, 217?

You can find a detailed procedure to find GCD of 715, 378, 14, 217 on our page.

3. How to find GCD of 715, 378, 14, 217 on a calculator?

You can find the GCD of 715, 378, 14, 217 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.