GCD of 742, 384, 325 Calculator

Given Input numbers are 742, 384, 325

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

Divisors of 742

List of positive integer divisors of 742 that divides 742 without a remainder.

1, 2, 7, 14, 53, 106, 371, 742

Divisors of 384

List of positive integer divisors of 384 that divides 384 without a remainder.

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

Divisors of 325

List of positive integer divisors of 325 that divides 325 without a remainder.

1, 5, 13, 25, 65, 325

Greatest Common Divisior

We found the divisors of 742, 384, 325 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 742, 384, 325 is 1.

Therefore, GCD of numbers 742, 384, 325 is 1

Given Input Data is 742, 384, 325

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

Prime Factorization of 742 is 2 x 7 x 53

Prime Factorization of 384 is 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3

Prime Factorization of 325 is 5 x 5 x 13

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(742, 384) = 142464

GCD(742, 384) = ( 742 x 384 ) / 142464

GCD(742, 384) = 284928 / 142464

GCD(742, 384) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 325

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

LCM(2, 325) = 650

GCD(2, 325) = ( 2 x 325 ) / 650

GCD(2, 325) = 650 / 650

GCD(2, 325) = 1

GCD of 742, 384, 325 is 1

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1. What is the GCD of 742, 384, 325?

GCD of 742, 384, 325 is 1

2. Where do I get the detailed procedure to find GCD of 742, 384, 325?

You can find a detailed procedure to find GCD of 742, 384, 325 on our page.

3. How to find GCD of 742, 384, 325 on a calculator?

You can find the GCD of 742, 384, 325 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.