GCD of 744, 696, 99, 935 Calculator

Given Input numbers are 744, 696, 99, 935

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

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

Divisors of 696

List of positive integer divisors of 696 that divides 696 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 29, 58, 87, 116, 174, 232, 348, 696

Divisors of 99

List of positive integer divisors of 99 that divides 99 without a remainder.

1, 3, 9, 11, 33, 99

Divisors of 935

List of positive integer divisors of 935 that divides 935 without a remainder.

1, 5, 11, 17, 55, 85, 187, 935

Greatest Common Divisior

We found the divisors of 744, 696, 99, 935 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 744, 696, 99, 935 is 1.

Therefore, GCD of numbers 744, 696, 99, 935 is 1

Given Input Data is 744, 696, 99, 935

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

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

Prime Factorization of 696 is 2 x 2 x 2 x 3 x 29

Prime Factorization of 99 is 3 x 3 x 11

Prime Factorization of 935 is 5 x 11 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(744, 696) = 21576

GCD(744, 696) = ( 744 x 696 ) / 21576

GCD(744, 696) = 517824 / 21576

GCD(744, 696) = 24

Step2:

Here we consider the GCD from the above i.e. 24 as first number and the next as 99

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

LCM(24, 99) = 792

GCD(24, 99) = ( 24 x 99 ) / 792

GCD(24, 99) = 2376 / 792

GCD(24, 99) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 935

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

LCM(3, 935) = 2805

GCD(3, 935) = ( 3 x 935 ) / 2805

GCD(3, 935) = 2805 / 2805

GCD(3, 935) = 1

GCD of 744, 696, 99, 935 is 1

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1. What is the GCD of 744, 696, 99, 935?

GCD of 744, 696, 99, 935 is 1

2. Where do I get the detailed procedure to find GCD of 744, 696, 99, 935?

You can find a detailed procedure to find GCD of 744, 696, 99, 935 on our page.

3. How to find GCD of 744, 696, 99, 935 on a calculator?

You can find the GCD of 744, 696, 99, 935 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.