GCD of 88, 404, 729, 756 Calculator

Given Input numbers are 88, 404, 729, 756

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

Divisors of 88

List of positive integer divisors of 88 that divides 88 without a remainder.

1, 2, 4, 8, 11, 22, 44, 88

Divisors of 404

List of positive integer divisors of 404 that divides 404 without a remainder.

1, 2, 4, 101, 202, 404

Divisors of 729

List of positive integer divisors of 729 that divides 729 without a remainder.

1, 3, 9, 27, 81, 243, 729

Divisors of 756

List of positive integer divisors of 756 that divides 756 without a remainder.

1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 27, 28, 36, 42, 54, 63, 84, 108, 126, 189, 252, 378, 756

Greatest Common Divisior

We found the divisors of 88, 404, 729, 756 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 88, 404, 729, 756 is 1.

Therefore, GCD of numbers 88, 404, 729, 756 is 1

Given Input Data is 88, 404, 729, 756

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

Prime Factorization of 88 is 2 x 2 x 2 x 11

Prime Factorization of 404 is 2 x 2 x 101

Prime Factorization of 729 is 3 x 3 x 3 x 3 x 3 x 3

Prime Factorization of 756 is 2 x 2 x 3 x 3 x 3 x 7

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(88, 404) = 8888

GCD(88, 404) = ( 88 x 404 ) / 8888

GCD(88, 404) = 35552 / 8888

GCD(88, 404) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 729

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

LCM(4, 729) = 2916

GCD(4, 729) = ( 4 x 729 ) / 2916

GCD(4, 729) = 2916 / 2916

GCD(4, 729) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 756

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

LCM(1, 756) = 756

GCD(1, 756) = ( 1 x 756 ) / 756

GCD(1, 756) = 756 / 756

GCD(1, 756) = 1

GCD of 88, 404, 729, 756 is 1

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1. What is the GCD of 88, 404, 729, 756?

GCD of 88, 404, 729, 756 is 1

2. Where do I get the detailed procedure to find GCD of 88, 404, 729, 756?

You can find a detailed procedure to find GCD of 88, 404, 729, 756 on our page.

3. How to find GCD of 88, 404, 729, 756 on a calculator?

You can find the GCD of 88, 404, 729, 756 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.