GCD of 100, 910, 273, 224 Calculator

Given Input numbers are 100, 910, 273, 224

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

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

Divisors of 910

List of positive integer divisors of 910 that divides 910 without a remainder.

1, 2, 5, 7, 10, 13, 14, 26, 35, 65, 70, 91, 130, 182, 455, 910

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 224

List of positive integer divisors of 224 that divides 224 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 112, 224

Greatest Common Divisior

We found the divisors of 100, 910, 273, 224 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 100, 910, 273, 224 is 1.

Therefore, GCD of numbers 100, 910, 273, 224 is 1

Given Input Data is 100, 910, 273, 224

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

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

Prime Factorization of 910 is 2 x 5 x 7 x 13

Prime Factorization of 273 is 3 x 7 x 13

Prime Factorization of 224 is 2 x 2 x 2 x 2 x 2 x 7

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(100, 910) = 9100

GCD(100, 910) = ( 100 x 910 ) / 9100

GCD(100, 910) = 91000 / 9100

GCD(100, 910) = 10

Step2:

Here we consider the GCD from the above i.e. 10 as first number and the next as 273

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

LCM(10, 273) = 2730

GCD(10, 273) = ( 10 x 273 ) / 2730

GCD(10, 273) = 2730 / 2730

GCD(10, 273) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 224

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

LCM(1, 224) = 224

GCD(1, 224) = ( 1 x 224 ) / 224

GCD(1, 224) = 224 / 224

GCD(1, 224) = 1

GCD of 100, 910, 273, 224 is 1

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1. What is the GCD of 100, 910, 273, 224?

GCD of 100, 910, 273, 224 is 1

2. Where do I get the detailed procedure to find GCD of 100, 910, 273, 224?

You can find a detailed procedure to find GCD of 100, 910, 273, 224 on our page.

3. How to find GCD of 100, 910, 273, 224 on a calculator?

You can find the GCD of 100, 910, 273, 224 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.