GCD of 364, 435, 319, 404 Calculator

Given Input numbers are 364, 435, 319, 404

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 435

List of positive integer divisors of 435 that divides 435 without a remainder.

1, 3, 5, 15, 29, 87, 145, 435

Divisors of 319

List of positive integer divisors of 319 that divides 319 without a remainder.

1, 11, 29, 319

Divisors of 404

List of positive integer divisors of 404 that divides 404 without a remainder.

1, 2, 4, 101, 202, 404

Greatest Common Divisior

We found the divisors of 364, 435, 319, 404 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 364, 435, 319, 404 is 1.

Therefore, GCD of numbers 364, 435, 319, 404 is 1

Given Input Data is 364, 435, 319, 404

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 435 is 3 x 5 x 29

Prime Factorization of 319 is 11 x 29

Prime Factorization of 404 is 2 x 2 x 101

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, 435) = 158340

GCD(364, 435) = ( 364 x 435 ) / 158340

GCD(364, 435) = 158340 / 158340

GCD(364, 435) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 319

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

LCM(1, 319) = 319

GCD(1, 319) = ( 1 x 319 ) / 319

GCD(1, 319) = 319 / 319

GCD(1, 319) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 404

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

LCM(1, 404) = 404

GCD(1, 404) = ( 1 x 404 ) / 404

GCD(1, 404) = 404 / 404

GCD(1, 404) = 1

GCD of 364, 435, 319, 404 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 504, 917, 370, 669
• GCD of 250, 718, 404, 958
• GCD of 483, 159, 322, 878
• GCD of 559, 185, 445, 989
• GCD of 832, 202, 444, 504

1. What is the GCD of 364, 435, 319, 404?

GCD of 364, 435, 319, 404 is 1

2. Where do I get the detailed procedure to find GCD of 364, 435, 319, 404?

You can find a detailed procedure to find GCD of 364, 435, 319, 404 on our page.

3. How to find GCD of 364, 435, 319, 404 on a calculator?

You can find the GCD of 364, 435, 319, 404 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.