GCD of 344, 312, 397, 953 Calculator

Given Input numbers are 344, 312, 397, 953

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

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 312

List of positive integer divisors of 312 that divides 312 without a remainder.

1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312

Divisors of 397

List of positive integer divisors of 397 that divides 397 without a remainder.

1, 397

Divisors of 953

List of positive integer divisors of 953 that divides 953 without a remainder.

1, 953

Greatest Common Divisior

We found the divisors of 344, 312, 397, 953 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 344, 312, 397, 953 is 1.

Therefore, GCD of numbers 344, 312, 397, 953 is 1

Given Input Data is 344, 312, 397, 953

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

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

Prime Factorization of 312 is 2 x 2 x 2 x 3 x 13

Prime Factorization of 397 is 397

Prime Factorization of 953 is 953

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(344, 312) = 13416

GCD(344, 312) = ( 344 x 312 ) / 13416

GCD(344, 312) = 107328 / 13416

GCD(344, 312) = 8

Step2:

Here we consider the GCD from the above i.e. 8 as first number and the next as 397

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

LCM(8, 397) = 3176

GCD(8, 397) = ( 8 x 397 ) / 3176

GCD(8, 397) = 3176 / 3176

GCD(8, 397) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 953

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

LCM(1, 953) = 953

GCD(1, 953) = ( 1 x 953 ) / 953

GCD(1, 953) = 953 / 953

GCD(1, 953) = 1

GCD of 344, 312, 397, 953 is 1

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• GCD of 835, 117, 450, 885
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1. What is the GCD of 344, 312, 397, 953?

GCD of 344, 312, 397, 953 is 1

2. Where do I get the detailed procedure to find GCD of 344, 312, 397, 953?

You can find a detailed procedure to find GCD of 344, 312, 397, 953 on our page.

3. How to find GCD of 344, 312, 397, 953 on a calculator?

You can find the GCD of 344, 312, 397, 953 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.