GCD of 693, 828, 24, 739 Calculator

Given Input numbers are 693, 828, 24, 739

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

Divisors of 693

List of positive integer divisors of 693 that divides 693 without a remainder.

1, 3, 7, 9, 11, 21, 33, 63, 77, 99, 231, 693

Divisors of 828

List of positive integer divisors of 828 that divides 828 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 23, 36, 46, 69, 92, 138, 207, 276, 414, 828

Divisors of 24

List of positive integer divisors of 24 that divides 24 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24

Divisors of 739

List of positive integer divisors of 739 that divides 739 without a remainder.

1, 739

Greatest Common Divisior

We found the divisors of 693, 828, 24, 739 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 693, 828, 24, 739 is 1.

Therefore, GCD of numbers 693, 828, 24, 739 is 1

Given Input Data is 693, 828, 24, 739

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

Prime Factorization of 693 is 3 x 3 x 7 x 11

Prime Factorization of 828 is 2 x 2 x 3 x 3 x 23

Prime Factorization of 24 is 2 x 2 x 2 x 3

Prime Factorization of 739 is 739

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(693, 828) = 63756

GCD(693, 828) = ( 693 x 828 ) / 63756

GCD(693, 828) = 573804 / 63756

GCD(693, 828) = 9

Step2:

Here we consider the GCD from the above i.e. 9 as first number and the next as 24

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

LCM(9, 24) = 72

GCD(9, 24) = ( 9 x 24 ) / 72

GCD(9, 24) = 216 / 72

GCD(9, 24) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 739

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

LCM(3, 739) = 2217

GCD(3, 739) = ( 3 x 739 ) / 2217

GCD(3, 739) = 2217 / 2217

GCD(3, 739) = 1

GCD of 693, 828, 24, 739 is 1

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1. What is the GCD of 693, 828, 24, 739?

GCD of 693, 828, 24, 739 is 1

2. Where do I get the detailed procedure to find GCD of 693, 828, 24, 739?

You can find a detailed procedure to find GCD of 693, 828, 24, 739 on our page.

3. How to find GCD of 693, 828, 24, 739 on a calculator?

You can find the GCD of 693, 828, 24, 739 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.