GCD of 714, 724, 58, 449 Calculator

Given Input numbers are 714, 724, 58, 449

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 724

List of positive integer divisors of 724 that divides 724 without a remainder.

1, 2, 4, 181, 362, 724

Divisors of 58

List of positive integer divisors of 58 that divides 58 without a remainder.

1, 2, 29, 58

Divisors of 449

List of positive integer divisors of 449 that divides 449 without a remainder.

1, 449

Greatest Common Divisior

We found the divisors of 714, 724, 58, 449 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 714, 724, 58, 449 is 1.

Therefore, GCD of numbers 714, 724, 58, 449 is 1

Given Input Data is 714, 724, 58, 449

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 724 is 2 x 2 x 181

Prime Factorization of 58 is 2 x 29

Prime Factorization of 449 is 449

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, 724) = 258468

GCD(714, 724) = ( 714 x 724 ) / 258468

GCD(714, 724) = 516936 / 258468

GCD(714, 724) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 58

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

LCM(2, 58) = 58

GCD(2, 58) = ( 2 x 58 ) / 58

GCD(2, 58) = 116 / 58

GCD(2, 58) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 449

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

LCM(2, 449) = 898

GCD(2, 449) = ( 2 x 449 ) / 898

GCD(2, 449) = 898 / 898

GCD(2, 449) = 1

GCD of 714, 724, 58, 449 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 470, 807, 98, 788
• GCD of 451, 242, 23, 963
• GCD of 802, 202, 70, 989
• GCD of 136, 100, 12, 716
• GCD of 887, 964, 78, 169

1. What is the GCD of 714, 724, 58, 449?

GCD of 714, 724, 58, 449 is 1

2. Where do I get the detailed procedure to find GCD of 714, 724, 58, 449?

You can find a detailed procedure to find GCD of 714, 724, 58, 449 on our page.

3. How to find GCD of 714, 724, 58, 449 on a calculator?

You can find the GCD of 714, 724, 58, 449 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.