GCD of 802, 744, 38, 273 Calculator

Given Input numbers are 802, 744, 38, 273

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

Divisors of 802

List of positive integer divisors of 802 that divides 802 without a remainder.

1, 2, 401, 802

Divisors of 744

List of positive integer divisors of 744 that divides 744 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 31, 62, 93, 124, 186, 248, 372, 744

Divisors of 38

List of positive integer divisors of 38 that divides 38 without a remainder.

1, 2, 19, 38

Divisors of 273

List of positive integer divisors of 273 that divides 273 without a remainder.

1, 3, 7, 13, 21, 39, 91, 273

Greatest Common Divisior

We found the divisors of 802, 744, 38, 273 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 802, 744, 38, 273 is 1.

Therefore, GCD of numbers 802, 744, 38, 273 is 1

Given Input Data is 802, 744, 38, 273

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

Prime Factorization of 802 is 2 x 401

Prime Factorization of 744 is 2 x 2 x 2 x 3 x 31

Prime Factorization of 38 is 2 x 19

Prime Factorization of 273 is 3 x 7 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(802, 744) = 298344

GCD(802, 744) = ( 802 x 744 ) / 298344

GCD(802, 744) = 596688 / 298344

GCD(802, 744) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 38

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

LCM(2, 38) = 38

GCD(2, 38) = ( 2 x 38 ) / 38

GCD(2, 38) = 76 / 38

GCD(2, 38) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 273

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

LCM(2, 273) = 546

GCD(2, 273) = ( 2 x 273 ) / 546

GCD(2, 273) = 546 / 546

GCD(2, 273) = 1

GCD of 802, 744, 38, 273 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 890, 168, 89, 701
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• GCD of 502, 140, 88, 289
• GCD of 342, 302, 14, 646
• GCD of 797, 634, 42, 369

1. What is the GCD of 802, 744, 38, 273?

GCD of 802, 744, 38, 273 is 1

2. Where do I get the detailed procedure to find GCD of 802, 744, 38, 273?

You can find a detailed procedure to find GCD of 802, 744, 38, 273 on our page.

3. How to find GCD of 802, 744, 38, 273 on a calculator?

You can find the GCD of 802, 744, 38, 273 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.