GCD of 99, 768, 744, 176 Calculator

Given Input numbers are 99, 768, 744, 176

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

Divisors of 99

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

1, 3, 9, 11, 33, 99

Divisors of 768

List of positive integer divisors of 768 that divides 768 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 256, 384, 768

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 176

List of positive integer divisors of 176 that divides 176 without a remainder.

1, 2, 4, 8, 11, 16, 22, 44, 88, 176

Greatest Common Divisior

We found the divisors of 99, 768, 744, 176 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 99, 768, 744, 176 is 1.

Therefore, GCD of numbers 99, 768, 744, 176 is 1

Given Input Data is 99, 768, 744, 176

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

Prime Factorization of 99 is 3 x 3 x 11

Prime Factorization of 768 is 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3

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

Prime Factorization of 176 is 2 x 2 x 2 x 2 x 11

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(99, 768) = 25344

GCD(99, 768) = ( 99 x 768 ) / 25344

GCD(99, 768) = 76032 / 25344

GCD(99, 768) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 744

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

LCM(3, 744) = 744

GCD(3, 744) = ( 3 x 744 ) / 744

GCD(3, 744) = 2232 / 744

GCD(3, 744) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 176

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

LCM(3, 176) = 528

GCD(3, 176) = ( 3 x 176 ) / 528

GCD(3, 176) = 528 / 528

GCD(3, 176) = 1

GCD of 99, 768, 744, 176 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 27, 887, 143, 969
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• GCD of 19, 734, 265, 304
• GCD of 45, 267, 307, 627
• GCD of 59, 422, 643, 172

1. What is the GCD of 99, 768, 744, 176?

GCD of 99, 768, 744, 176 is 1

2. Where do I get the detailed procedure to find GCD of 99, 768, 744, 176?

You can find a detailed procedure to find GCD of 99, 768, 744, 176 on our page.

3. How to find GCD of 99, 768, 744, 176 on a calculator?

You can find the GCD of 99, 768, 744, 176 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.