GCD of 435, 499, 21, 318 Calculator

Given Input numbers are 435, 499, 21, 318

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

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 499

List of positive integer divisors of 499 that divides 499 without a remainder.

1, 499

Divisors of 21

List of positive integer divisors of 21 that divides 21 without a remainder.

1, 3, 7, 21

Divisors of 318

List of positive integer divisors of 318 that divides 318 without a remainder.

1, 2, 3, 6, 53, 106, 159, 318

Greatest Common Divisior

We found the divisors of 435, 499, 21, 318 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 435, 499, 21, 318 is 1.

Therefore, GCD of numbers 435, 499, 21, 318 is 1

Given Input Data is 435, 499, 21, 318

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

Prime Factorization of 435 is 3 x 5 x 29

Prime Factorization of 499 is 499

Prime Factorization of 21 is 3 x 7

Prime Factorization of 318 is 2 x 3 x 53

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(435, 499) = 217065

GCD(435, 499) = ( 435 x 499 ) / 217065

GCD(435, 499) = 217065 / 217065

GCD(435, 499) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 21

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

LCM(1, 21) = 21

GCD(1, 21) = ( 1 x 21 ) / 21

GCD(1, 21) = 21 / 21

GCD(1, 21) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 318

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

LCM(1, 318) = 318

GCD(1, 318) = ( 1 x 318 ) / 318

GCD(1, 318) = 318 / 318

GCD(1, 318) = 1

GCD of 435, 499, 21, 318 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 541, 317, 83, 408
• GCD of 461, 295, 68, 900
• GCD of 632, 213, 69, 548
• GCD of 301, 697, 55, 258
• GCD of 447, 955, 16, 373

1. What is the GCD of 435, 499, 21, 318?

GCD of 435, 499, 21, 318 is 1

2. Where do I get the detailed procedure to find GCD of 435, 499, 21, 318?

You can find a detailed procedure to find GCD of 435, 499, 21, 318 on our page.

3. How to find GCD of 435, 499, 21, 318 on a calculator?

You can find the GCD of 435, 499, 21, 318 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.