GCD of 524, 723, 805, 714 Calculator

Given Input numbers are 524, 723, 805, 714

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

Divisors of 524

List of positive integer divisors of 524 that divides 524 without a remainder.

1, 2, 4, 131, 262, 524

Divisors of 723

List of positive integer divisors of 723 that divides 723 without a remainder.

1, 3, 241, 723

Divisors of 805

List of positive integer divisors of 805 that divides 805 without a remainder.

1, 5, 7, 23, 35, 115, 161, 805

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

Greatest Common Divisior

We found the divisors of 524, 723, 805, 714 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 524, 723, 805, 714 is 1.

Therefore, GCD of numbers 524, 723, 805, 714 is 1

Given Input Data is 524, 723, 805, 714

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

Prime Factorization of 524 is 2 x 2 x 131

Prime Factorization of 723 is 3 x 241

Prime Factorization of 805 is 5 x 7 x 23

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

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(524, 723) = 378852

GCD(524, 723) = ( 524 x 723 ) / 378852

GCD(524, 723) = 378852 / 378852

GCD(524, 723) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 805

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

LCM(1, 805) = 805

GCD(1, 805) = ( 1 x 805 ) / 805

GCD(1, 805) = 805 / 805

GCD(1, 805) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 714

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

LCM(1, 714) = 714

GCD(1, 714) = ( 1 x 714 ) / 714

GCD(1, 714) = 714 / 714

GCD(1, 714) = 1

GCD of 524, 723, 805, 714 is 1

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1. What is the GCD of 524, 723, 805, 714?

GCD of 524, 723, 805, 714 is 1

2. Where do I get the detailed procedure to find GCD of 524, 723, 805, 714?

You can find a detailed procedure to find GCD of 524, 723, 805, 714 on our page.

3. How to find GCD of 524, 723, 805, 714 on a calculator?

You can find the GCD of 524, 723, 805, 714 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.