GCD of 435, 814, 218 Calculator

Given Input numbers are 435, 814, 218

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 814

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

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

Divisors of 218

List of positive integer divisors of 218 that divides 218 without a remainder.

1, 2, 109, 218

Greatest Common Divisior

We found the divisors of 435, 814, 218 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 435, 814, 218 is 1.

Therefore, GCD of numbers 435, 814, 218 is 1

Given Input Data is 435, 814, 218

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 814 is 2 x 11 x 37

Prime Factorization of 218 is 2 x 109

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, 814) = 354090

GCD(435, 814) = ( 435 x 814 ) / 354090

GCD(435, 814) = 354090 / 354090

GCD(435, 814) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 218

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

LCM(1, 218) = 218

GCD(1, 218) = ( 1 x 218 ) / 218

GCD(1, 218) = 218 / 218

GCD(1, 218) = 1

GCD of 435, 814, 218 is 1

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1. What is the GCD of 435, 814, 218?

GCD of 435, 814, 218 is 1

2. Where do I get the detailed procedure to find GCD of 435, 814, 218?

You can find a detailed procedure to find GCD of 435, 814, 218 on our page.

3. How to find GCD of 435, 814, 218 on a calculator?

You can find the GCD of 435, 814, 218 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.