GCD of 23, 849, 223, 660 Calculator

Given Input numbers are 23, 849, 223, 660

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

Divisors of 23

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

1, 23

Divisors of 849

List of positive integer divisors of 849 that divides 849 without a remainder.

1, 3, 283, 849

Divisors of 223

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

1, 223

Divisors of 660

List of positive integer divisors of 660 that divides 660 without a remainder.

1, 2, 3, 4, 5, 6, 10, 11, 12, 15, 20, 22, 30, 33, 44, 55, 60, 66, 110, 132, 165, 220, 330, 660

Greatest Common Divisior

We found the divisors of 23, 849, 223, 660 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 23, 849, 223, 660 is 1.

Therefore, GCD of numbers 23, 849, 223, 660 is 1

Given Input Data is 23, 849, 223, 660

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

Prime Factorization of 23 is 23

Prime Factorization of 849 is 3 x 283

Prime Factorization of 223 is 223

Prime Factorization of 660 is 2 x 2 x 3 x 5 x 11

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(23, 849) = 19527

GCD(23, 849) = ( 23 x 849 ) / 19527

GCD(23, 849) = 19527 / 19527

GCD(23, 849) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 223

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

LCM(1, 223) = 223

GCD(1, 223) = ( 1 x 223 ) / 223

GCD(1, 223) = 223 / 223

GCD(1, 223) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 660

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

LCM(1, 660) = 660

GCD(1, 660) = ( 1 x 660 ) / 660

GCD(1, 660) = 660 / 660

GCD(1, 660) = 1

GCD of 23, 849, 223, 660 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 86, 559, 597, 366
• GCD of 86, 648, 521, 310
• GCD of 10, 775, 962, 451
• GCD of 41, 645, 196, 876
• GCD of 70, 756, 218, 207

1. What is the GCD of 23, 849, 223, 660?

GCD of 23, 849, 223, 660 is 1

2. Where do I get the detailed procedure to find GCD of 23, 849, 223, 660?

You can find a detailed procedure to find GCD of 23, 849, 223, 660 on our page.

3. How to find GCD of 23, 849, 223, 660 on a calculator?

You can find the GCD of 23, 849, 223, 660 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.