GCD of 374, 144, 313, 390 Calculator

Given Input numbers are 374, 144, 313, 390

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

Divisors of 374

List of positive integer divisors of 374 that divides 374 without a remainder.

1, 2, 11, 17, 22, 34, 187, 374

Divisors of 144

List of positive integer divisors of 144 that divides 144 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144

Divisors of 313

List of positive integer divisors of 313 that divides 313 without a remainder.

1, 313

Divisors of 390

List of positive integer divisors of 390 that divides 390 without a remainder.

1, 2, 3, 5, 6, 10, 13, 15, 26, 30, 39, 65, 78, 130, 195, 390

Greatest Common Divisior

We found the divisors of 374, 144, 313, 390 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 374, 144, 313, 390 is 1.

Therefore, GCD of numbers 374, 144, 313, 390 is 1

Given Input Data is 374, 144, 313, 390

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

Prime Factorization of 374 is 2 x 11 x 17

Prime Factorization of 144 is 2 x 2 x 2 x 2 x 3 x 3

Prime Factorization of 313 is 313

Prime Factorization of 390 is 2 x 3 x 5 x 13

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(374, 144) = 26928

GCD(374, 144) = ( 374 x 144 ) / 26928

GCD(374, 144) = 53856 / 26928

GCD(374, 144) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 313

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

LCM(2, 313) = 626

GCD(2, 313) = ( 2 x 313 ) / 626

GCD(2, 313) = 626 / 626

GCD(2, 313) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 390

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

LCM(1, 390) = 390

GCD(1, 390) = ( 1 x 390 ) / 390

GCD(1, 390) = 390 / 390

GCD(1, 390) = 1

GCD of 374, 144, 313, 390 is 1

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• GCD of 904, 566, 329, 396
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1. What is the GCD of 374, 144, 313, 390?

GCD of 374, 144, 313, 390 is 1

2. Where do I get the detailed procedure to find GCD of 374, 144, 313, 390?

You can find a detailed procedure to find GCD of 374, 144, 313, 390 on our page.

3. How to find GCD of 374, 144, 313, 390 on a calculator?

You can find the GCD of 374, 144, 313, 390 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.