GCD of 714, 588, 873 Calculator

Given Input numbers are 714, 588, 873

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 588

List of positive integer divisors of 588 that divides 588 without a remainder.

1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 49, 84, 98, 147, 196, 294, 588

Divisors of 873

List of positive integer divisors of 873 that divides 873 without a remainder.

1, 3, 9, 97, 291, 873

Greatest Common Divisior

We found the divisors of 714, 588, 873 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 714, 588, 873 is 3.

Therefore, GCD of numbers 714, 588, 873 is 3

Given Input Data is 714, 588, 873

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 588 is 2 x 2 x 3 x 7 x 7

Prime Factorization of 873 is 3 x 3 x 97

Highest common occurrences in the given inputs are 3¹

Multiplying them we get the GCD as 3

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, 588) = 9996

GCD(714, 588) = ( 714 x 588 ) / 9996

GCD(714, 588) = 419832 / 9996

GCD(714, 588) = 42

Step2:

Here we consider the GCD from the above i.e. 42 as first number and the next as 873

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

LCM(42, 873) = 12222

GCD(42, 873) = ( 42 x 873 ) / 12222

GCD(42, 873) = 36666 / 12222

GCD(42, 873) = 3

GCD of 714, 588, 873 is 3

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• GCD of 264, 798, 450
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1. What is the GCD of 714, 588, 873?

GCD of 714, 588, 873 is 3

2. Where do I get the detailed procedure to find GCD of 714, 588, 873?

You can find a detailed procedure to find GCD of 714, 588, 873 on our page.

3. How to find GCD of 714, 588, 873 on a calculator?

You can find the GCD of 714, 588, 873 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.