GCD of 308, 376, 14, 931 Calculator

Given Input numbers are 308, 376, 14, 931

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

Divisors of 308

List of positive integer divisors of 308 that divides 308 without a remainder.

1, 2, 4, 7, 11, 14, 22, 28, 44, 77, 154, 308

Divisors of 376

List of positive integer divisors of 376 that divides 376 without a remainder.

1, 2, 4, 8, 47, 94, 188, 376

Divisors of 14

List of positive integer divisors of 14 that divides 14 without a remainder.

1, 2, 7, 14

Divisors of 931

List of positive integer divisors of 931 that divides 931 without a remainder.

1, 7, 19, 49, 133, 931

Greatest Common Divisior

We found the divisors of 308, 376, 14, 931 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 308, 376, 14, 931 is 1.

Therefore, GCD of numbers 308, 376, 14, 931 is 1

Given Input Data is 308, 376, 14, 931

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

Prime Factorization of 308 is 2 x 2 x 7 x 11

Prime Factorization of 376 is 2 x 2 x 2 x 47

Prime Factorization of 14 is 2 x 7

Prime Factorization of 931 is 7 x 7 x 19

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(308, 376) = 28952

GCD(308, 376) = ( 308 x 376 ) / 28952

GCD(308, 376) = 115808 / 28952

GCD(308, 376) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 14

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

LCM(4, 14) = 28

GCD(4, 14) = ( 4 x 14 ) / 28

GCD(4, 14) = 56 / 28

GCD(4, 14) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 931

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

LCM(2, 931) = 1862

GCD(2, 931) = ( 2 x 931 ) / 1862

GCD(2, 931) = 1862 / 1862

GCD(2, 931) = 1

GCD of 308, 376, 14, 931 is 1

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1. What is the GCD of 308, 376, 14, 931?

GCD of 308, 376, 14, 931 is 1

2. Where do I get the detailed procedure to find GCD of 308, 376, 14, 931?

You can find a detailed procedure to find GCD of 308, 376, 14, 931 on our page.

3. How to find GCD of 308, 376, 14, 931 on a calculator?

You can find the GCD of 308, 376, 14, 931 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.