GCD of 114, 368, 376, 323 Calculator

Given Input numbers are 114, 368, 376, 323

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

Divisors of 114

List of positive integer divisors of 114 that divides 114 without a remainder.

1, 2, 3, 6, 19, 38, 57, 114

Divisors of 368

List of positive integer divisors of 368 that divides 368 without a remainder.

1, 2, 4, 8, 16, 23, 46, 92, 184, 368

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 323

List of positive integer divisors of 323 that divides 323 without a remainder.

1, 17, 19, 323

Greatest Common Divisior

We found the divisors of 114, 368, 376, 323 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 114, 368, 376, 323 is 1.

Therefore, GCD of numbers 114, 368, 376, 323 is 1

Given Input Data is 114, 368, 376, 323

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

Prime Factorization of 114 is 2 x 3 x 19

Prime Factorization of 368 is 2 x 2 x 2 x 2 x 23

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

Prime Factorization of 323 is 17 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(114, 368) = 20976

GCD(114, 368) = ( 114 x 368 ) / 20976

GCD(114, 368) = 41952 / 20976

GCD(114, 368) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 376

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

LCM(2, 376) = 376

GCD(2, 376) = ( 2 x 376 ) / 376

GCD(2, 376) = 752 / 376

GCD(2, 376) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 323

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

LCM(2, 323) = 646

GCD(2, 323) = ( 2 x 323 ) / 646

GCD(2, 323) = 646 / 646

GCD(2, 323) = 1

GCD of 114, 368, 376, 323 is 1

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1. What is the GCD of 114, 368, 376, 323?

GCD of 114, 368, 376, 323 is 1

2. Where do I get the detailed procedure to find GCD of 114, 368, 376, 323?

You can find a detailed procedure to find GCD of 114, 368, 376, 323 on our page.

3. How to find GCD of 114, 368, 376, 323 on a calculator?

You can find the GCD of 114, 368, 376, 323 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.