GCD of 24, 661, 292, 814 Calculator

Given Input numbers are 24, 661, 292, 814

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

Divisors of 24

List of positive integer divisors of 24 that divides 24 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24

Divisors of 661

List of positive integer divisors of 661 that divides 661 without a remainder.

1, 661

Divisors of 292

List of positive integer divisors of 292 that divides 292 without a remainder.

1, 2, 4, 73, 146, 292

Divisors of 814

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

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

Greatest Common Divisior

We found the divisors of 24, 661, 292, 814 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 24, 661, 292, 814 is 1.

Therefore, GCD of numbers 24, 661, 292, 814 is 1

Given Input Data is 24, 661, 292, 814

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

Prime Factorization of 24 is 2 x 2 x 2 x 3

Prime Factorization of 661 is 661

Prime Factorization of 292 is 2 x 2 x 73

Prime Factorization of 814 is 2 x 11 x 37

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(24, 661) = 15864

GCD(24, 661) = ( 24 x 661 ) / 15864

GCD(24, 661) = 15864 / 15864

GCD(24, 661) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 292

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

LCM(1, 292) = 292

GCD(1, 292) = ( 1 x 292 ) / 292

GCD(1, 292) = 292 / 292

GCD(1, 292) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 814

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

LCM(1, 814) = 814

GCD(1, 814) = ( 1 x 814 ) / 814

GCD(1, 814) = 814 / 814

GCD(1, 814) = 1

GCD of 24, 661, 292, 814 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 26, 102, 816, 530
• GCD of 85, 305, 925, 652
• GCD of 99, 709, 781, 640
• GCD of 36, 435, 413, 855
• GCD of 14, 488, 344, 920

1. What is the GCD of 24, 661, 292, 814?

GCD of 24, 661, 292, 814 is 1

2. Where do I get the detailed procedure to find GCD of 24, 661, 292, 814?

You can find a detailed procedure to find GCD of 24, 661, 292, 814 on our page.

3. How to find GCD of 24, 661, 292, 814 on a calculator?

You can find the GCD of 24, 661, 292, 814 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.