GCD of 384, 111, 49, 371 Calculator

Given Input numbers are 384, 111, 49, 371

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

Divisors of 384

List of positive integer divisors of 384 that divides 384 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 384

Divisors of 111

List of positive integer divisors of 111 that divides 111 without a remainder.

1, 3, 37, 111

Divisors of 49

List of positive integer divisors of 49 that divides 49 without a remainder.

1, 7, 49

Divisors of 371

List of positive integer divisors of 371 that divides 371 without a remainder.

1, 7, 53, 371

Greatest Common Divisior

We found the divisors of 384, 111, 49, 371 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 384, 111, 49, 371 is 1.

Therefore, GCD of numbers 384, 111, 49, 371 is 1

Given Input Data is 384, 111, 49, 371

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

Prime Factorization of 384 is 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3

Prime Factorization of 111 is 3 x 37

Prime Factorization of 49 is 7 x 7

Prime Factorization of 371 is 7 x 53

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(384, 111) = 14208

GCD(384, 111) = ( 384 x 111 ) / 14208

GCD(384, 111) = 42624 / 14208

GCD(384, 111) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 49

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

LCM(3, 49) = 147

GCD(3, 49) = ( 3 x 49 ) / 147

GCD(3, 49) = 147 / 147

GCD(3, 49) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 371

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

LCM(1, 371) = 371

GCD(1, 371) = ( 1 x 371 ) / 371

GCD(1, 371) = 371 / 371

GCD(1, 371) = 1

GCD of 384, 111, 49, 371 is 1

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• GCD of 188, 338, 59, 362
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• GCD of 708, 679, 74, 591

1. What is the GCD of 384, 111, 49, 371?

GCD of 384, 111, 49, 371 is 1

2. Where do I get the detailed procedure to find GCD of 384, 111, 49, 371?

You can find a detailed procedure to find GCD of 384, 111, 49, 371 on our page.

3. How to find GCD of 384, 111, 49, 371 on a calculator?

You can find the GCD of 384, 111, 49, 371 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.