GCD of 352, 344, 29, 313 Calculator

Given Input numbers are 352, 344, 29, 313

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

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 344

List of positive integer divisors of 344 that divides 344 without a remainder.

1, 2, 4, 8, 43, 86, 172, 344

Divisors of 29

List of positive integer divisors of 29 that divides 29 without a remainder.

1, 29

Divisors of 313

List of positive integer divisors of 313 that divides 313 without a remainder.

1, 313

Greatest Common Divisior

We found the divisors of 352, 344, 29, 313 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 352, 344, 29, 313 is 1.

Therefore, GCD of numbers 352, 344, 29, 313 is 1

Given Input Data is 352, 344, 29, 313

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

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

Prime Factorization of 344 is 2 x 2 x 2 x 43

Prime Factorization of 29 is 29

Prime Factorization of 313 is 313

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(352, 344) = 15136

GCD(352, 344) = ( 352 x 344 ) / 15136

GCD(352, 344) = 121088 / 15136

GCD(352, 344) = 8

Step2:

Here we consider the GCD from the above i.e. 8 as first number and the next as 29

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

LCM(8, 29) = 232

GCD(8, 29) = ( 8 x 29 ) / 232

GCD(8, 29) = 232 / 232

GCD(8, 29) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 313

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

LCM(1, 313) = 313

GCD(1, 313) = ( 1 x 313 ) / 313

GCD(1, 313) = 313 / 313

GCD(1, 313) = 1

GCD of 352, 344, 29, 313 is 1

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• GCD of 659, 669, 69, 723
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1. What is the GCD of 352, 344, 29, 313?

GCD of 352, 344, 29, 313 is 1

2. Where do I get the detailed procedure to find GCD of 352, 344, 29, 313?

You can find a detailed procedure to find GCD of 352, 344, 29, 313 on our page.

3. How to find GCD of 352, 344, 29, 313 on a calculator?

You can find the GCD of 352, 344, 29, 313 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.