GCD of 435, 420, 644, 814 Calculator

Given Input numbers are 435, 420, 644, 814

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 420

List of positive integer divisors of 420 that divides 420 without a remainder.

1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420

Divisors of 644

List of positive integer divisors of 644 that divides 644 without a remainder.

1, 2, 4, 7, 14, 23, 28, 46, 92, 161, 322, 644

Divisors of 814

List of positive integer divisors of 814 that divides 814 without a remainder.

1, 2, 11, 22, 37, 74, 407, 814

Greatest Common Divisior

We found the divisors of 435, 420, 644, 814 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 435, 420, 644, 814 is 1.

Therefore, GCD of numbers 435, 420, 644, 814 is 1

Given Input Data is 435, 420, 644, 814

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 420 is 2 x 2 x 3 x 5 x 7

Prime Factorization of 644 is 2 x 2 x 7 x 23

Prime Factorization of 814 is 2 x 11 x 37

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, 420) = 12180

GCD(435, 420) = ( 435 x 420 ) / 12180

GCD(435, 420) = 182700 / 12180

GCD(435, 420) = 15

Step2:

Here we consider the GCD from the above i.e. 15 as first number and the next as 644

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

LCM(15, 644) = 9660

GCD(15, 644) = ( 15 x 644 ) / 9660

GCD(15, 644) = 9660 / 9660

GCD(15, 644) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 814

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

LCM(1, 814) = 814

GCD(1, 814) = ( 1 x 814 ) / 814

GCD(1, 814) = 814 / 814

GCD(1, 814) = 1

GCD of 435, 420, 644, 814 is 1

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1. What is the GCD of 435, 420, 644, 814?

GCD of 435, 420, 644, 814 is 1

2. Where do I get the detailed procedure to find GCD of 435, 420, 644, 814?

You can find a detailed procedure to find GCD of 435, 420, 644, 814 on our page.

3. How to find GCD of 435, 420, 644, 814 on a calculator?

You can find the GCD of 435, 420, 644, 814 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.