GCD of 378, 754, 16, 403 Calculator

Given Input numbers are 378, 754, 16, 403

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

Divisors of 378

List of positive integer divisors of 378 that divides 378 without a remainder.

1, 2, 3, 6, 7, 9, 14, 18, 21, 27, 42, 54, 63, 126, 189, 378

Divisors of 754

List of positive integer divisors of 754 that divides 754 without a remainder.

1, 2, 13, 26, 29, 58, 377, 754

Divisors of 16

List of positive integer divisors of 16 that divides 16 without a remainder.

1, 2, 4, 8, 16

Divisors of 403

List of positive integer divisors of 403 that divides 403 without a remainder.

1, 13, 31, 403

Greatest Common Divisior

We found the divisors of 378, 754, 16, 403 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 378, 754, 16, 403 is 1.

Therefore, GCD of numbers 378, 754, 16, 403 is 1

Given Input Data is 378, 754, 16, 403

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

Prime Factorization of 378 is 2 x 3 x 3 x 3 x 7

Prime Factorization of 754 is 2 x 13 x 29

Prime Factorization of 16 is 2 x 2 x 2 x 2

Prime Factorization of 403 is 13 x 31

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(378, 754) = 142506

GCD(378, 754) = ( 378 x 754 ) / 142506

GCD(378, 754) = 285012 / 142506

GCD(378, 754) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 16

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

LCM(2, 16) = 16

GCD(2, 16) = ( 2 x 16 ) / 16

GCD(2, 16) = 32 / 16

GCD(2, 16) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 403

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

LCM(2, 403) = 806

GCD(2, 403) = ( 2 x 403 ) / 806

GCD(2, 403) = 806 / 806

GCD(2, 403) = 1

GCD of 378, 754, 16, 403 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 865, 727, 89, 603
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• GCD of 981, 988, 21, 945

1. What is the GCD of 378, 754, 16, 403?

GCD of 378, 754, 16, 403 is 1

2. Where do I get the detailed procedure to find GCD of 378, 754, 16, 403?

You can find a detailed procedure to find GCD of 378, 754, 16, 403 on our page.

3. How to find GCD of 378, 754, 16, 403 on a calculator?

You can find the GCD of 378, 754, 16, 403 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.