GCD of 724, 814, 11, 438 Calculator

Given Input numbers are 724, 814, 11, 438

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

Divisors of 724

List of positive integer divisors of 724 that divides 724 without a remainder.

1, 2, 4, 181, 362, 724

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 11

List of positive integer divisors of 11 that divides 11 without a remainder.

1, 11

Divisors of 438

List of positive integer divisors of 438 that divides 438 without a remainder.

1, 2, 3, 6, 73, 146, 219, 438

Greatest Common Divisior

We found the divisors of 724, 814, 11, 438 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 724, 814, 11, 438 is 1.

Therefore, GCD of numbers 724, 814, 11, 438 is 1

Given Input Data is 724, 814, 11, 438

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

Prime Factorization of 724 is 2 x 2 x 181

Prime Factorization of 814 is 2 x 11 x 37

Prime Factorization of 11 is 11

Prime Factorization of 438 is 2 x 3 x 73

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(724, 814) = 294668

GCD(724, 814) = ( 724 x 814 ) / 294668

GCD(724, 814) = 589336 / 294668

GCD(724, 814) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 11

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

LCM(2, 11) = 22

GCD(2, 11) = ( 2 x 11 ) / 22

GCD(2, 11) = 22 / 22

GCD(2, 11) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 438

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

LCM(1, 438) = 438

GCD(1, 438) = ( 1 x 438 ) / 438

GCD(1, 438) = 438 / 438

GCD(1, 438) = 1

GCD of 724, 814, 11, 438 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 447, 154, 59, 692
• GCD of 939, 654, 52, 445
• GCD of 761, 556, 57, 291
• GCD of 430, 441, 29, 572
• GCD of 112, 163, 14, 128

1. What is the GCD of 724, 814, 11, 438?

GCD of 724, 814, 11, 438 is 1

2. Where do I get the detailed procedure to find GCD of 724, 814, 11, 438?

You can find a detailed procedure to find GCD of 724, 814, 11, 438 on our page.

3. How to find GCD of 724, 814, 11, 438 on a calculator?

You can find the GCD of 724, 814, 11, 438 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.