GCD of 388, 464, 112, 949 Calculator

Given Input numbers are 388, 464, 112, 949

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

Divisors of 388

List of positive integer divisors of 388 that divides 388 without a remainder.

1, 2, 4, 97, 194, 388

Divisors of 464

List of positive integer divisors of 464 that divides 464 without a remainder.

1, 2, 4, 8, 16, 29, 58, 116, 232, 464

Divisors of 112

List of positive integer divisors of 112 that divides 112 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 56, 112

Divisors of 949

List of positive integer divisors of 949 that divides 949 without a remainder.

1, 13, 73, 949

Greatest Common Divisior

We found the divisors of 388, 464, 112, 949 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 388, 464, 112, 949 is 1.

Therefore, GCD of numbers 388, 464, 112, 949 is 1

Given Input Data is 388, 464, 112, 949

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

Prime Factorization of 388 is 2 x 2 x 97

Prime Factorization of 464 is 2 x 2 x 2 x 2 x 29

Prime Factorization of 112 is 2 x 2 x 2 x 2 x 7

Prime Factorization of 949 is 13 x 73

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(388, 464) = 45008

GCD(388, 464) = ( 388 x 464 ) / 45008

GCD(388, 464) = 180032 / 45008

GCD(388, 464) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 112

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

LCM(4, 112) = 112

GCD(4, 112) = ( 4 x 112 ) / 112

GCD(4, 112) = 448 / 112

GCD(4, 112) = 4

Step3:

Here we consider the GCD from the above i.e. 4 as first number and the next as 949

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

LCM(4, 949) = 3796

GCD(4, 949) = ( 4 x 949 ) / 3796

GCD(4, 949) = 3796 / 3796

GCD(4, 949) = 1

GCD of 388, 464, 112, 949 is 1

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1. What is the GCD of 388, 464, 112, 949?

GCD of 388, 464, 112, 949 is 1

2. Where do I get the detailed procedure to find GCD of 388, 464, 112, 949?

You can find a detailed procedure to find GCD of 388, 464, 112, 949 on our page.

3. How to find GCD of 388, 464, 112, 949 on a calculator?

You can find the GCD of 388, 464, 112, 949 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.