GCD of 738, 219, 96, 854 Calculator

Given Input numbers are 738, 219, 96, 854

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

Divisors of 738

List of positive integer divisors of 738 that divides 738 without a remainder.

1, 2, 3, 6, 9, 18, 41, 82, 123, 246, 369, 738

Divisors of 219

List of positive integer divisors of 219 that divides 219 without a remainder.

1, 3, 73, 219

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 854

List of positive integer divisors of 854 that divides 854 without a remainder.

1, 2, 7, 14, 61, 122, 427, 854

Greatest Common Divisior

We found the divisors of 738, 219, 96, 854 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 738, 219, 96, 854 is 1.

Therefore, GCD of numbers 738, 219, 96, 854 is 1

Given Input Data is 738, 219, 96, 854

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

Prime Factorization of 738 is 2 x 3 x 3 x 41

Prime Factorization of 219 is 3 x 73

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

Prime Factorization of 854 is 2 x 7 x 61

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(738, 219) = 53874

GCD(738, 219) = ( 738 x 219 ) / 53874

GCD(738, 219) = 161622 / 53874

GCD(738, 219) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 96

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

LCM(3, 96) = 96

GCD(3, 96) = ( 3 x 96 ) / 96

GCD(3, 96) = 288 / 96

GCD(3, 96) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 854

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

LCM(3, 854) = 2562

GCD(3, 854) = ( 3 x 854 ) / 2562

GCD(3, 854) = 2562 / 2562

GCD(3, 854) = 1

GCD of 738, 219, 96, 854 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 104, 514, 37, 283
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• GCD of 106, 463, 75, 715

1. What is the GCD of 738, 219, 96, 854?

GCD of 738, 219, 96, 854 is 1

2. Where do I get the detailed procedure to find GCD of 738, 219, 96, 854?

You can find a detailed procedure to find GCD of 738, 219, 96, 854 on our page.

3. How to find GCD of 738, 219, 96, 854 on a calculator?

You can find the GCD of 738, 219, 96, 854 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.