GCD of 205, 714, 929 Calculator

Given Input numbers are 205, 714, 929

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

Divisors of 205

List of positive integer divisors of 205 that divides 205 without a remainder.

1, 5, 41, 205

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 929

List of positive integer divisors of 929 that divides 929 without a remainder.

1, 929

Greatest Common Divisior

We found the divisors of 205, 714, 929 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 205, 714, 929 is 1.

Therefore, GCD of numbers 205, 714, 929 is 1

Given Input Data is 205, 714, 929

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

Prime Factorization of 205 is 5 x 41

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

Prime Factorization of 929 is 929

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(205, 714) = 146370

GCD(205, 714) = ( 205 x 714 ) / 146370

GCD(205, 714) = 146370 / 146370

GCD(205, 714) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 929

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

LCM(1, 929) = 929

GCD(1, 929) = ( 1 x 929 ) / 929

GCD(1, 929) = 929 / 929

GCD(1, 929) = 1

GCD of 205, 714, 929 is 1

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1. What is the GCD of 205, 714, 929?

GCD of 205, 714, 929 is 1

2. Where do I get the detailed procedure to find GCD of 205, 714, 929?

You can find a detailed procedure to find GCD of 205, 714, 929 on our page.

3. How to find GCD of 205, 714, 929 on a calculator?

You can find the GCD of 205, 714, 929 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.