GCD of 319, 352, 229, 724 Calculator

Given Input numbers are 319, 352, 229, 724

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

Divisors of 319

List of positive integer divisors of 319 that divides 319 without a remainder.

1, 11, 29, 319

Divisors of 352

List of positive integer divisors of 352 that divides 352 without a remainder.

1, 2, 4, 8, 11, 16, 22, 32, 44, 88, 176, 352

Divisors of 229

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

1, 229

Divisors of 724

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

1, 2, 4, 181, 362, 724

Greatest Common Divisior

We found the divisors of 319, 352, 229, 724 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 319, 352, 229, 724 is 1.

Therefore, GCD of numbers 319, 352, 229, 724 is 1

Given Input Data is 319, 352, 229, 724

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

Prime Factorization of 319 is 11 x 29

Prime Factorization of 352 is 2 x 2 x 2 x 2 x 2 x 11

Prime Factorization of 229 is 229

Prime Factorization of 724 is 2 x 2 x 181

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(319, 352) = 10208

GCD(319, 352) = ( 319 x 352 ) / 10208

GCD(319, 352) = 112288 / 10208

GCD(319, 352) = 11

Step2:

Here we consider the GCD from the above i.e. 11 as first number and the next as 229

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

LCM(11, 229) = 2519

GCD(11, 229) = ( 11 x 229 ) / 2519

GCD(11, 229) = 2519 / 2519

GCD(11, 229) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 724

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

LCM(1, 724) = 724

GCD(1, 724) = ( 1 x 724 ) / 724

GCD(1, 724) = 724 / 724

GCD(1, 724) = 1

GCD of 319, 352, 229, 724 is 1

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1. What is the GCD of 319, 352, 229, 724?

GCD of 319, 352, 229, 724 is 1

2. Where do I get the detailed procedure to find GCD of 319, 352, 229, 724?

You can find a detailed procedure to find GCD of 319, 352, 229, 724 on our page.

3. How to find GCD of 319, 352, 229, 724 on a calculator?

You can find the GCD of 319, 352, 229, 724 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.