GCD of 814, 388, 229, 702 Calculator

Given Input numbers are 814, 388, 229, 702

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

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 388

List of positive integer divisors of 388 that divides 388 without a remainder.

1, 2, 4, 97, 194, 388

Divisors of 229

List of positive integer divisors of 229 that divides 229 without a remainder.

1, 229

Divisors of 702

List of positive integer divisors of 702 that divides 702 without a remainder.

1, 2, 3, 6, 9, 13, 18, 26, 27, 39, 54, 78, 117, 234, 351, 702

Greatest Common Divisior

We found the divisors of 814, 388, 229, 702 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 814, 388, 229, 702 is 1.

Therefore, GCD of numbers 814, 388, 229, 702 is 1

Given Input Data is 814, 388, 229, 702

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

Prime Factorization of 814 is 2 x 11 x 37

Prime Factorization of 388 is 2 x 2 x 97

Prime Factorization of 229 is 229

Prime Factorization of 702 is 2 x 3 x 3 x 3 x 13

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(814, 388) = 157916

GCD(814, 388) = ( 814 x 388 ) / 157916

GCD(814, 388) = 315832 / 157916

GCD(814, 388) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 229

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

LCM(2, 229) = 458

GCD(2, 229) = ( 2 x 229 ) / 458

GCD(2, 229) = 458 / 458

GCD(2, 229) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 702

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

LCM(1, 702) = 702

GCD(1, 702) = ( 1 x 702 ) / 702

GCD(1, 702) = 702 / 702

GCD(1, 702) = 1

GCD of 814, 388, 229, 702 is 1

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1. What is the GCD of 814, 388, 229, 702?

GCD of 814, 388, 229, 702 is 1

2. Where do I get the detailed procedure to find GCD of 814, 388, 229, 702?

You can find a detailed procedure to find GCD of 814, 388, 229, 702 on our page.

3. How to find GCD of 814, 388, 229, 702 on a calculator?

You can find the GCD of 814, 388, 229, 702 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.