GCD of 310, 388, 32, 369 Calculator

Given Input numbers are 310, 388, 32, 369

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

Divisors of 310

List of positive integer divisors of 310 that divides 310 without a remainder.

1, 2, 5, 10, 31, 62, 155, 310

Divisors of 388

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

1, 2, 4, 97, 194, 388

Divisors of 32

List of positive integer divisors of 32 that divides 32 without a remainder.

1, 2, 4, 8, 16, 32

Divisors of 369

List of positive integer divisors of 369 that divides 369 without a remainder.

1, 3, 9, 41, 123, 369

Greatest Common Divisior

We found the divisors of 310, 388, 32, 369 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 310, 388, 32, 369 is 1.

Therefore, GCD of numbers 310, 388, 32, 369 is 1

Given Input Data is 310, 388, 32, 369

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

Prime Factorization of 310 is 2 x 5 x 31

Prime Factorization of 388 is 2 x 2 x 97

Prime Factorization of 32 is 2 x 2 x 2 x 2 x 2

Prime Factorization of 369 is 3 x 3 x 41

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(310, 388) = 60140

GCD(310, 388) = ( 310 x 388 ) / 60140

GCD(310, 388) = 120280 / 60140

GCD(310, 388) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 32

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

LCM(2, 32) = 32

GCD(2, 32) = ( 2 x 32 ) / 32

GCD(2, 32) = 64 / 32

GCD(2, 32) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 369

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

LCM(2, 369) = 738

GCD(2, 369) = ( 2 x 369 ) / 738

GCD(2, 369) = 738 / 738

GCD(2, 369) = 1

GCD of 310, 388, 32, 369 is 1

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1. What is the GCD of 310, 388, 32, 369?

GCD of 310, 388, 32, 369 is 1

2. Where do I get the detailed procedure to find GCD of 310, 388, 32, 369?

You can find a detailed procedure to find GCD of 310, 388, 32, 369 on our page.

3. How to find GCD of 310, 388, 32, 369 on a calculator?

You can find the GCD of 310, 388, 32, 369 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.