GCD of 714, 258, 83 Calculator

Given Input numbers are 714, 258, 83

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 258

List of positive integer divisors of 258 that divides 258 without a remainder.

1, 2, 3, 6, 43, 86, 129, 258

Divisors of 83

List of positive integer divisors of 83 that divides 83 without a remainder.

1, 83

Greatest Common Divisior

We found the divisors of 714, 258, 83 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 714, 258, 83 is 1.

Therefore, GCD of numbers 714, 258, 83 is 1

Given Input Data is 714, 258, 83

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 258 is 2 x 3 x 43

Prime Factorization of 83 is 83

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, 258) = 30702

GCD(714, 258) = ( 714 x 258 ) / 30702

GCD(714, 258) = 184212 / 30702

GCD(714, 258) = 6

Step2:

Here we consider the GCD from the above i.e. 6 as first number and the next as 83

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

LCM(6, 83) = 498

GCD(6, 83) = ( 6 x 83 ) / 498

GCD(6, 83) = 498 / 498

GCD(6, 83) = 1

GCD of 714, 258, 83 is 1

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• GCD of 484, 330, 96
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1. What is the GCD of 714, 258, 83?

GCD of 714, 258, 83 is 1

2. Where do I get the detailed procedure to find GCD of 714, 258, 83?

You can find a detailed procedure to find GCD of 714, 258, 83 on our page.

3. How to find GCD of 714, 258, 83 on a calculator?

You can find the GCD of 714, 258, 83 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.