GCD of 272, 800, 23, 614 Calculator

Given Input numbers are 272, 800, 23, 614

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

Divisors of 272

List of positive integer divisors of 272 that divides 272 without a remainder.

1, 2, 4, 8, 16, 17, 34, 68, 136, 272

Divisors of 800

List of positive integer divisors of 800 that divides 800 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 25, 32, 40, 50, 80, 100, 160, 200, 400, 800

Divisors of 23

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

1, 23

Divisors of 614

List of positive integer divisors of 614 that divides 614 without a remainder.

1, 2, 307, 614

Greatest Common Divisior

We found the divisors of 272, 800, 23, 614 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 272, 800, 23, 614 is 1.

Therefore, GCD of numbers 272, 800, 23, 614 is 1

Given Input Data is 272, 800, 23, 614

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

Prime Factorization of 272 is 2 x 2 x 2 x 2 x 17

Prime Factorization of 800 is 2 x 2 x 2 x 2 x 2 x 5 x 5

Prime Factorization of 23 is 23

Prime Factorization of 614 is 2 x 307

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(272, 800) = 13600

GCD(272, 800) = ( 272 x 800 ) / 13600

GCD(272, 800) = 217600 / 13600

GCD(272, 800) = 16

Step2:

Here we consider the GCD from the above i.e. 16 as first number and the next as 23

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

LCM(16, 23) = 368

GCD(16, 23) = ( 16 x 23 ) / 368

GCD(16, 23) = 368 / 368

GCD(16, 23) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 614

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

LCM(1, 614) = 614

GCD(1, 614) = ( 1 x 614 ) / 614

GCD(1, 614) = 614 / 614

GCD(1, 614) = 1

GCD of 272, 800, 23, 614 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 375, 884, 74, 209
• GCD of 676, 868, 18, 284
• GCD of 735, 849, 58, 946
• GCD of 846, 796, 18, 721
• GCD of 218, 236, 31, 425

1. What is the GCD of 272, 800, 23, 614?

GCD of 272, 800, 23, 614 is 1

2. Where do I get the detailed procedure to find GCD of 272, 800, 23, 614?

You can find a detailed procedure to find GCD of 272, 800, 23, 614 on our page.

3. How to find GCD of 272, 800, 23, 614 on a calculator?

You can find the GCD of 272, 800, 23, 614 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.