GCD of 54, 738, 812, 119 Calculator

Given Input numbers are 54, 738, 812, 119

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

Divisors of 54

List of positive integer divisors of 54 that divides 54 without a remainder.

1, 2, 3, 6, 9, 18, 27, 54

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 812

List of positive integer divisors of 812 that divides 812 without a remainder.

1, 2, 4, 7, 14, 28, 29, 58, 116, 203, 406, 812

Divisors of 119

List of positive integer divisors of 119 that divides 119 without a remainder.

1, 7, 17, 119

Greatest Common Divisior

We found the divisors of 54, 738, 812, 119 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 54, 738, 812, 119 is 1.

Therefore, GCD of numbers 54, 738, 812, 119 is 1

Given Input Data is 54, 738, 812, 119

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

Prime Factorization of 54 is 2 x 3 x 3 x 3

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

Prime Factorization of 812 is 2 x 2 x 7 x 29

Prime Factorization of 119 is 7 x 17

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(54, 738) = 2214

GCD(54, 738) = ( 54 x 738 ) / 2214

GCD(54, 738) = 39852 / 2214

GCD(54, 738) = 18

Step2:

Here we consider the GCD from the above i.e. 18 as first number and the next as 812

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

LCM(18, 812) = 7308

GCD(18, 812) = ( 18 x 812 ) / 7308

GCD(18, 812) = 14616 / 7308

GCD(18, 812) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 119

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

LCM(2, 119) = 238

GCD(2, 119) = ( 2 x 119 ) / 238

GCD(2, 119) = 238 / 238

GCD(2, 119) = 1

GCD of 54, 738, 812, 119 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 29, 212, 433, 247
• GCD of 78, 114, 180, 830
• GCD of 22, 118, 835, 477
• GCD of 48, 941, 379, 699
• GCD of 39, 512, 272, 200

1. What is the GCD of 54, 738, 812, 119?

GCD of 54, 738, 812, 119 is 1

2. Where do I get the detailed procedure to find GCD of 54, 738, 812, 119?

You can find a detailed procedure to find GCD of 54, 738, 812, 119 on our page.

3. How to find GCD of 54, 738, 812, 119 on a calculator?

You can find the GCD of 54, 738, 812, 119 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.