GCD of 322, 749, 96 Calculator

Given Input numbers are 322, 749, 96

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

Divisors of 322

List of positive integer divisors of 322 that divides 322 without a remainder.

1, 2, 7, 14, 23, 46, 161, 322

Divisors of 749

List of positive integer divisors of 749 that divides 749 without a remainder.

1, 7, 107, 749

Divisors of 96

List of positive integer divisors of 96 that divides 96 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 96

Greatest Common Divisior

We found the divisors of 322, 749, 96 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 322, 749, 96 is 1.

Therefore, GCD of numbers 322, 749, 96 is 1

Given Input Data is 322, 749, 96

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

Prime Factorization of 322 is 2 x 7 x 23

Prime Factorization of 749 is 7 x 107

Prime Factorization of 96 is 2 x 2 x 2 x 2 x 2 x 3

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(322, 749) = 34454

GCD(322, 749) = ( 322 x 749 ) / 34454

GCD(322, 749) = 241178 / 34454

GCD(322, 749) = 7

Step2:

Here we consider the GCD from the above i.e. 7 as first number and the next as 96

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

LCM(7, 96) = 672

GCD(7, 96) = ( 7 x 96 ) / 672

GCD(7, 96) = 672 / 672

GCD(7, 96) = 1

GCD of 322, 749, 96 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 180, 970, 98
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1. What is the GCD of 322, 749, 96?

GCD of 322, 749, 96 is 1

2. Where do I get the detailed procedure to find GCD of 322, 749, 96?

You can find a detailed procedure to find GCD of 322, 749, 96 on our page.

3. How to find GCD of 322, 749, 96 on a calculator?

You can find the GCD of 322, 749, 96 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.