GCD of 78, 374, 445, 368 Calculator

Given Input numbers are 78, 374, 445, 368

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

Divisors of 78

List of positive integer divisors of 78 that divides 78 without a remainder.

1, 2, 3, 6, 13, 26, 39, 78

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 445

List of positive integer divisors of 445 that divides 445 without a remainder.

1, 5, 89, 445

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

Greatest Common Divisior

We found the divisors of 78, 374, 445, 368 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 78, 374, 445, 368 is 1.

Therefore, GCD of numbers 78, 374, 445, 368 is 1

Given Input Data is 78, 374, 445, 368

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

Prime Factorization of 78 is 2 x 3 x 13

Prime Factorization of 374 is 2 x 11 x 17

Prime Factorization of 445 is 5 x 89

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

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(78, 374) = 14586

GCD(78, 374) = ( 78 x 374 ) / 14586

GCD(78, 374) = 29172 / 14586

GCD(78, 374) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 445

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

LCM(2, 445) = 890

GCD(2, 445) = ( 2 x 445 ) / 890

GCD(2, 445) = 890 / 890

GCD(2, 445) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 368

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

LCM(1, 368) = 368

GCD(1, 368) = ( 1 x 368 ) / 368

GCD(1, 368) = 368 / 368

GCD(1, 368) = 1

GCD of 78, 374, 445, 368 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 75, 623, 858, 861
• GCD of 90, 211, 622, 504
• GCD of 69, 869, 103, 571
• GCD of 12, 808, 589, 383
• GCD of 10, 134, 361, 436

1. What is the GCD of 78, 374, 445, 368?

GCD of 78, 374, 445, 368 is 1

2. Where do I get the detailed procedure to find GCD of 78, 374, 445, 368?

You can find a detailed procedure to find GCD of 78, 374, 445, 368 on our page.

3. How to find GCD of 78, 374, 445, 368 on a calculator?

You can find the GCD of 78, 374, 445, 368 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.