GCD of 241, 814, 23, 784 Calculator

Given Input numbers are 241, 814, 23, 784

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

Divisors of 241

List of positive integer divisors of 241 that divides 241 without a remainder.

1, 241

Divisors of 814

List of positive integer divisors of 814 that divides 814 without a remainder.

1, 2, 11, 22, 37, 74, 407, 814

Divisors of 23

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

1, 23

Divisors of 784

List of positive integer divisors of 784 that divides 784 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 49, 56, 98, 112, 196, 392, 784

Greatest Common Divisior

We found the divisors of 241, 814, 23, 784 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 241, 814, 23, 784 is 1.

Therefore, GCD of numbers 241, 814, 23, 784 is 1

Given Input Data is 241, 814, 23, 784

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

Prime Factorization of 241 is 241

Prime Factorization of 814 is 2 x 11 x 37

Prime Factorization of 23 is 23

Prime Factorization of 784 is 2 x 2 x 2 x 2 x 7 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(241, 814) = 196174

GCD(241, 814) = ( 241 x 814 ) / 196174

GCD(241, 814) = 196174 / 196174

GCD(241, 814) = 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 784

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

LCM(1, 784) = 784

GCD(1, 784) = ( 1 x 784 ) / 784

GCD(1, 784) = 784 / 784

GCD(1, 784) = 1

GCD of 241, 814, 23, 784 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 626, 180, 45, 874
• GCD of 619, 132, 73, 985
• GCD of 209, 303, 67, 312
• GCD of 815, 331, 43, 884
• GCD of 118, 456, 32, 537

1. What is the GCD of 241, 814, 23, 784?

GCD of 241, 814, 23, 784 is 1

2. Where do I get the detailed procedure to find GCD of 241, 814, 23, 784?

You can find a detailed procedure to find GCD of 241, 814, 23, 784 on our page.

3. How to find GCD of 241, 814, 23, 784 on a calculator?

You can find the GCD of 241, 814, 23, 784 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.