GCD of 364, 394, 45, 383 Calculator

Given Input numbers are 364, 394, 45, 383

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

Divisors of 364

List of positive integer divisors of 364 that divides 364 without a remainder.

1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 182, 364

Divisors of 394

List of positive integer divisors of 394 that divides 394 without a remainder.

1, 2, 197, 394

Divisors of 45

List of positive integer divisors of 45 that divides 45 without a remainder.

1, 3, 5, 9, 15, 45

Divisors of 383

List of positive integer divisors of 383 that divides 383 without a remainder.

1, 383

Greatest Common Divisior

We found the divisors of 364, 394, 45, 383 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 364, 394, 45, 383 is 1.

Therefore, GCD of numbers 364, 394, 45, 383 is 1

Given Input Data is 364, 394, 45, 383

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

Prime Factorization of 364 is 2 x 2 x 7 x 13

Prime Factorization of 394 is 2 x 197

Prime Factorization of 45 is 3 x 3 x 5

Prime Factorization of 383 is 383

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(364, 394) = 71708

GCD(364, 394) = ( 364 x 394 ) / 71708

GCD(364, 394) = 143416 / 71708

GCD(364, 394) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 45

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

LCM(2, 45) = 90

GCD(2, 45) = ( 2 x 45 ) / 90

GCD(2, 45) = 90 / 90

GCD(2, 45) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 383

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

LCM(1, 383) = 383

GCD(1, 383) = ( 1 x 383 ) / 383

GCD(1, 383) = 383 / 383

GCD(1, 383) = 1

GCD of 364, 394, 45, 383 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 608, 869, 84, 672
• GCD of 660, 172, 94, 952
• GCD of 567, 593, 26, 256
• GCD of 686, 136, 80, 804
• GCD of 382, 648, 74, 604

1. What is the GCD of 364, 394, 45, 383?

GCD of 364, 394, 45, 383 is 1

2. Where do I get the detailed procedure to find GCD of 364, 394, 45, 383?

You can find a detailed procedure to find GCD of 364, 394, 45, 383 on our page.

3. How to find GCD of 364, 394, 45, 383 on a calculator?

You can find the GCD of 364, 394, 45, 383 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.