GCD of 435, 441, 66, 319 Calculator

Given Input numbers are 435, 441, 66, 319

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 441

List of positive integer divisors of 441 that divides 441 without a remainder.

1, 3, 7, 9, 21, 49, 63, 147, 441

Divisors of 66

List of positive integer divisors of 66 that divides 66 without a remainder.

1, 2, 3, 6, 11, 22, 33, 66

Divisors of 319

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

1, 11, 29, 319

Greatest Common Divisior

We found the divisors of 435, 441, 66, 319 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 435, 441, 66, 319 is 1.

Therefore, GCD of numbers 435, 441, 66, 319 is 1

Given Input Data is 435, 441, 66, 319

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 441 is 3 x 3 x 7 x 7

Prime Factorization of 66 is 2 x 3 x 11

Prime Factorization of 319 is 11 x 29

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, 441) = 63945

GCD(435, 441) = ( 435 x 441 ) / 63945

GCD(435, 441) = 191835 / 63945

GCD(435, 441) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 66

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

LCM(3, 66) = 66

GCD(3, 66) = ( 3 x 66 ) / 66

GCD(3, 66) = 198 / 66

GCD(3, 66) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 319

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

LCM(3, 319) = 957

GCD(3, 319) = ( 3 x 319 ) / 957

GCD(3, 319) = 957 / 957

GCD(3, 319) = 1

GCD of 435, 441, 66, 319 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 696, 756, 66, 385
• GCD of 560, 522, 42, 267
• GCD of 264, 695, 31, 911
• GCD of 118, 299, 36, 918
• GCD of 519, 936, 69, 130

1. What is the GCD of 435, 441, 66, 319?

GCD of 435, 441, 66, 319 is 1

2. Where do I get the detailed procedure to find GCD of 435, 441, 66, 319?

You can find a detailed procedure to find GCD of 435, 441, 66, 319 on our page.

3. How to find GCD of 435, 441, 66, 319 on a calculator?

You can find the GCD of 435, 441, 66, 319 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.