GCD of 744, 352, 945, 326 Calculator

Given Input numbers are 744, 352, 945, 326

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 352

List of positive integer divisors of 352 that divides 352 without a remainder.

1, 2, 4, 8, 11, 16, 22, 32, 44, 88, 176, 352

Divisors of 945

List of positive integer divisors of 945 that divides 945 without a remainder.

1, 3, 5, 7, 9, 15, 21, 27, 35, 45, 63, 105, 135, 189, 315, 945

Divisors of 326

List of positive integer divisors of 326 that divides 326 without a remainder.

1, 2, 163, 326

Greatest Common Divisior

We found the divisors of 744, 352, 945, 326 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 744, 352, 945, 326 is 1.

Therefore, GCD of numbers 744, 352, 945, 326 is 1

Given Input Data is 744, 352, 945, 326

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 352 is 2 x 2 x 2 x 2 x 2 x 11

Prime Factorization of 945 is 3 x 3 x 3 x 5 x 7

Prime Factorization of 326 is 2 x 163

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, 352) = 32736

GCD(744, 352) = ( 744 x 352 ) / 32736

GCD(744, 352) = 261888 / 32736

GCD(744, 352) = 8

Step2:

Here we consider the GCD from the above i.e. 8 as first number and the next as 945

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

LCM(8, 945) = 7560

GCD(8, 945) = ( 8 x 945 ) / 7560

GCD(8, 945) = 7560 / 7560

GCD(8, 945) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 326

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

LCM(1, 326) = 326

GCD(1, 326) = ( 1 x 326 ) / 326

GCD(1, 326) = 326 / 326

GCD(1, 326) = 1

GCD of 744, 352, 945, 326 is 1

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1. What is the GCD of 744, 352, 945, 326?

GCD of 744, 352, 945, 326 is 1

2. Where do I get the detailed procedure to find GCD of 744, 352, 945, 326?

You can find a detailed procedure to find GCD of 744, 352, 945, 326 on our page.

3. How to find GCD of 744, 352, 945, 326 on a calculator?

You can find the GCD of 744, 352, 945, 326 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.