GCD of 705, 224, 23, 500 Calculator

Given Input numbers are 705, 224, 23, 500

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

Divisors of 705

List of positive integer divisors of 705 that divides 705 without a remainder.

1, 3, 5, 15, 47, 141, 235, 705

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

Divisors of 23

List of positive integer divisors of 23 that divides 23 without a remainder.

1, 23

Divisors of 500

List of positive integer divisors of 500 that divides 500 without a remainder.

1, 2, 4, 5, 10, 20, 25, 50, 100, 125, 250, 500

Greatest Common Divisior

We found the divisors of 705, 224, 23, 500 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 705, 224, 23, 500 is 1.

Therefore, GCD of numbers 705, 224, 23, 500 is 1

Given Input Data is 705, 224, 23, 500

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

Prime Factorization of 705 is 3 x 5 x 47

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

Prime Factorization of 23 is 23

Prime Factorization of 500 is 2 x 2 x 5 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(705, 224) = 157920

GCD(705, 224) = ( 705 x 224 ) / 157920

GCD(705, 224) = 157920 / 157920

GCD(705, 224) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 23

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

LCM(1, 23) = 23

GCD(1, 23) = ( 1 x 23 ) / 23

GCD(1, 23) = 23 / 23

GCD(1, 23) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 500

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

LCM(1, 500) = 500

GCD(1, 500) = ( 1 x 500 ) / 500

GCD(1, 500) = 500 / 500

GCD(1, 500) = 1

GCD of 705, 224, 23, 500 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 741, 453, 46, 680
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• GCD of 154, 724, 28, 983
• GCD of 743, 255, 64, 952

1. What is the GCD of 705, 224, 23, 500?

GCD of 705, 224, 23, 500 is 1

2. Where do I get the detailed procedure to find GCD of 705, 224, 23, 500?

You can find a detailed procedure to find GCD of 705, 224, 23, 500 on our page.

3. How to find GCD of 705, 224, 23, 500 on a calculator?

You can find the GCD of 705, 224, 23, 500 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.