GCD of 714, 171, 14, 841 Calculator

Given Input numbers are 714, 171, 14, 841

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

Divisors of 714

List of positive integer divisors of 714 that divides 714 without a remainder.

1, 2, 3, 6, 7, 14, 17, 21, 34, 42, 51, 102, 119, 238, 357, 714

Divisors of 171

List of positive integer divisors of 171 that divides 171 without a remainder.

1, 3, 9, 19, 57, 171

Divisors of 14

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

1, 2, 7, 14

Divisors of 841

List of positive integer divisors of 841 that divides 841 without a remainder.

1, 29, 841

Greatest Common Divisior

We found the divisors of 714, 171, 14, 841 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 714, 171, 14, 841 is 1.

Therefore, GCD of numbers 714, 171, 14, 841 is 1

Given Input Data is 714, 171, 14, 841

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

Prime Factorization of 714 is 2 x 3 x 7 x 17

Prime Factorization of 171 is 3 x 3 x 19

Prime Factorization of 14 is 2 x 7

Prime Factorization of 841 is 29 x 29

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(714, 171) = 40698

GCD(714, 171) = ( 714 x 171 ) / 40698

GCD(714, 171) = 122094 / 40698

GCD(714, 171) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 14

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

LCM(3, 14) = 42

GCD(3, 14) = ( 3 x 14 ) / 42

GCD(3, 14) = 42 / 42

GCD(3, 14) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 841

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

LCM(1, 841) = 841

GCD(1, 841) = ( 1 x 841 ) / 841

GCD(1, 841) = 841 / 841

GCD(1, 841) = 1

GCD of 714, 171, 14, 841 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 562, 938, 27, 790
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1. What is the GCD of 714, 171, 14, 841?

GCD of 714, 171, 14, 841 is 1

2. Where do I get the detailed procedure to find GCD of 714, 171, 14, 841?

You can find a detailed procedure to find GCD of 714, 171, 14, 841 on our page.

3. How to find GCD of 714, 171, 14, 841 on a calculator?

You can find the GCD of 714, 171, 14, 841 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.