GCD of 735, 646, 96, 382 Calculator

Given Input numbers are 735, 646, 96, 382

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

Divisors of 735

List of positive integer divisors of 735 that divides 735 without a remainder.

1, 3, 5, 7, 15, 21, 35, 49, 105, 147, 245, 735

Divisors of 646

List of positive integer divisors of 646 that divides 646 without a remainder.

1, 2, 17, 19, 34, 38, 323, 646

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

Divisors of 382

List of positive integer divisors of 382 that divides 382 without a remainder.

1, 2, 191, 382

Greatest Common Divisior

We found the divisors of 735, 646, 96, 382 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 735, 646, 96, 382 is 1.

Therefore, GCD of numbers 735, 646, 96, 382 is 1

Given Input Data is 735, 646, 96, 382

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

Prime Factorization of 735 is 3 x 5 x 7 x 7

Prime Factorization of 646 is 2 x 17 x 19

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

Prime Factorization of 382 is 2 x 191

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(735, 646) = 474810

GCD(735, 646) = ( 735 x 646 ) / 474810

GCD(735, 646) = 474810 / 474810

GCD(735, 646) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 96

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

LCM(1, 96) = 96

GCD(1, 96) = ( 1 x 96 ) / 96

GCD(1, 96) = 96 / 96

GCD(1, 96) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 382

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

LCM(1, 382) = 382

GCD(1, 382) = ( 1 x 382 ) / 382

GCD(1, 382) = 382 / 382

GCD(1, 382) = 1

GCD of 735, 646, 96, 382 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 327, 660, 65, 679
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1. What is the GCD of 735, 646, 96, 382?

GCD of 735, 646, 96, 382 is 1

2. Where do I get the detailed procedure to find GCD of 735, 646, 96, 382?

You can find a detailed procedure to find GCD of 735, 646, 96, 382 on our page.

3. How to find GCD of 735, 646, 96, 382 on a calculator?

You can find the GCD of 735, 646, 96, 382 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.