GCD of 705, 223, 133, 868 Calculator

Given Input numbers are 705, 223, 133, 868

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 223

List of positive integer divisors of 223 that divides 223 without a remainder.

1, 223

Divisors of 133

List of positive integer divisors of 133 that divides 133 without a remainder.

1, 7, 19, 133

Divisors of 868

List of positive integer divisors of 868 that divides 868 without a remainder.

1, 2, 4, 7, 14, 28, 31, 62, 124, 217, 434, 868

Greatest Common Divisior

We found the divisors of 705, 223, 133, 868 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 705, 223, 133, 868 is 1.

Therefore, GCD of numbers 705, 223, 133, 868 is 1

Given Input Data is 705, 223, 133, 868

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 223 is 223

Prime Factorization of 133 is 7 x 19

Prime Factorization of 868 is 2 x 2 x 7 x 31

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, 223) = 157215

GCD(705, 223) = ( 705 x 223 ) / 157215

GCD(705, 223) = 157215 / 157215

GCD(705, 223) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 133

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

LCM(1, 133) = 133

GCD(1, 133) = ( 1 x 133 ) / 133

GCD(1, 133) = 133 / 133

GCD(1, 133) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 868

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

LCM(1, 868) = 868

GCD(1, 868) = ( 1 x 868 ) / 868

GCD(1, 868) = 868 / 868

GCD(1, 868) = 1

GCD of 705, 223, 133, 868 is 1

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1. What is the GCD of 705, 223, 133, 868?

GCD of 705, 223, 133, 868 is 1

2. Where do I get the detailed procedure to find GCD of 705, 223, 133, 868?

You can find a detailed procedure to find GCD of 705, 223, 133, 868 on our page.

3. How to find GCD of 705, 223, 133, 868 on a calculator?

You can find the GCD of 705, 223, 133, 868 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.