GCD of 916, 757, 729, 744 Calculator

Given Input numbers are 916, 757, 729, 744

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

Divisors of 916

List of positive integer divisors of 916 that divides 916 without a remainder.

1, 2, 4, 229, 458, 916

Divisors of 757

List of positive integer divisors of 757 that divides 757 without a remainder.

1, 757

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 744

List of positive integer divisors of 744 that divides 744 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 31, 62, 93, 124, 186, 248, 372, 744

Greatest Common Divisior

We found the divisors of 916, 757, 729, 744 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 916, 757, 729, 744 is 1.

Therefore, GCD of numbers 916, 757, 729, 744 is 1

Given Input Data is 916, 757, 729, 744

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

Prime Factorization of 916 is 2 x 2 x 229

Prime Factorization of 757 is 757

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

Prime Factorization of 744 is 2 x 2 x 2 x 3 x 31

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(916, 757) = 693412

GCD(916, 757) = ( 916 x 757 ) / 693412

GCD(916, 757) = 693412 / 693412

GCD(916, 757) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 729

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

LCM(1, 729) = 729

GCD(1, 729) = ( 1 x 729 ) / 729

GCD(1, 729) = 729 / 729

GCD(1, 729) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 744

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

LCM(1, 744) = 744

GCD(1, 744) = ( 1 x 744 ) / 744

GCD(1, 744) = 744 / 744

GCD(1, 744) = 1

GCD of 916, 757, 729, 744 is 1

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1. What is the GCD of 916, 757, 729, 744?

GCD of 916, 757, 729, 744 is 1

2. Where do I get the detailed procedure to find GCD of 916, 757, 729, 744?

You can find a detailed procedure to find GCD of 916, 757, 729, 744 on our page.

3. How to find GCD of 916, 757, 729, 744 on a calculator?

You can find the GCD of 916, 757, 729, 744 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.