GCD of 273, 805, 47, 100 Calculator

Given Input numbers are 273, 805, 47, 100

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

Divisors of 273

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

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

Divisors of 805

List of positive integer divisors of 805 that divides 805 without a remainder.

1, 5, 7, 23, 35, 115, 161, 805

Divisors of 47

List of positive integer divisors of 47 that divides 47 without a remainder.

1, 47

Divisors of 100

List of positive integer divisors of 100 that divides 100 without a remainder.

1, 2, 4, 5, 10, 20, 25, 50, 100

Greatest Common Divisior

We found the divisors of 273, 805, 47, 100 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 273, 805, 47, 100 is 1.

Therefore, GCD of numbers 273, 805, 47, 100 is 1

Given Input Data is 273, 805, 47, 100

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

Prime Factorization of 273 is 3 x 7 x 13

Prime Factorization of 805 is 5 x 7 x 23

Prime Factorization of 47 is 47

Prime Factorization of 100 is 2 x 2 x 5 x 5

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(273, 805) = 31395

GCD(273, 805) = ( 273 x 805 ) / 31395

GCD(273, 805) = 219765 / 31395

GCD(273, 805) = 7

Step2:

Here we consider the GCD from the above i.e. 7 as first number and the next as 47

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

LCM(7, 47) = 329

GCD(7, 47) = ( 7 x 47 ) / 329

GCD(7, 47) = 329 / 329

GCD(7, 47) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 100

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

LCM(1, 100) = 100

GCD(1, 100) = ( 1 x 100 ) / 100

GCD(1, 100) = 100 / 100

GCD(1, 100) = 1

GCD of 273, 805, 47, 100 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 447, 397, 31, 395
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• GCD of 804, 523, 18, 342
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• GCD of 864, 597, 15, 285

1. What is the GCD of 273, 805, 47, 100?

GCD of 273, 805, 47, 100 is 1

2. Where do I get the detailed procedure to find GCD of 273, 805, 47, 100?

You can find a detailed procedure to find GCD of 273, 805, 47, 100 on our page.

3. How to find GCD of 273, 805, 47, 100 on a calculator?

You can find the GCD of 273, 805, 47, 100 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.