GCD of 297, 344, 29, 117 Calculator

Given Input numbers are 297, 344, 29, 117

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

Divisors of 297

List of positive integer divisors of 297 that divides 297 without a remainder.

1, 3, 9, 11, 27, 33, 99, 297

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 117

List of positive integer divisors of 117 that divides 117 without a remainder.

1, 3, 9, 13, 39, 117

Greatest Common Divisior

We found the divisors of 297, 344, 29, 117 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 297, 344, 29, 117 is 1.

Therefore, GCD of numbers 297, 344, 29, 117 is 1

Given Input Data is 297, 344, 29, 117

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

Prime Factorization of 297 is 3 x 3 x 3 x 11

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

Prime Factorization of 29 is 29

Prime Factorization of 117 is 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(297, 344) = 102168

GCD(297, 344) = ( 297 x 344 ) / 102168

GCD(297, 344) = 102168 / 102168

GCD(297, 344) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 29

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

LCM(1, 29) = 29

GCD(1, 29) = ( 1 x 29 ) / 29

GCD(1, 29) = 29 / 29

GCD(1, 29) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 117

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

LCM(1, 117) = 117

GCD(1, 117) = ( 1 x 117 ) / 117

GCD(1, 117) = 117 / 117

GCD(1, 117) = 1

GCD of 297, 344, 29, 117 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 654, 291, 65, 718
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• GCD of 395, 233, 12, 522
• GCD of 299, 907, 21, 986
• GCD of 888, 752, 65, 901

1. What is the GCD of 297, 344, 29, 117?

GCD of 297, 344, 29, 117 is 1

2. Where do I get the detailed procedure to find GCD of 297, 344, 29, 117?

You can find a detailed procedure to find GCD of 297, 344, 29, 117 on our page.

3. How to find GCD of 297, 344, 29, 117 on a calculator?

You can find the GCD of 297, 344, 29, 117 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.