GCD of 35, 294, 212, 808 Calculator

Given Input numbers are 35, 294, 212, 808

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

Divisors of 35

List of positive integer divisors of 35 that divides 35 without a remainder.

1, 5, 7, 35

Divisors of 294

List of positive integer divisors of 294 that divides 294 without a remainder.

1, 2, 3, 6, 7, 14, 21, 42, 49, 98, 147, 294

Divisors of 212

List of positive integer divisors of 212 that divides 212 without a remainder.

1, 2, 4, 53, 106, 212

Divisors of 808

List of positive integer divisors of 808 that divides 808 without a remainder.

1, 2, 4, 8, 101, 202, 404, 808

Greatest Common Divisior

We found the divisors of 35, 294, 212, 808 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 35, 294, 212, 808 is 1.

Therefore, GCD of numbers 35, 294, 212, 808 is 1

Given Input Data is 35, 294, 212, 808

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

Prime Factorization of 35 is 5 x 7

Prime Factorization of 294 is 2 x 3 x 7 x 7

Prime Factorization of 212 is 2 x 2 x 53

Prime Factorization of 808 is 2 x 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(35, 294) = 1470

GCD(35, 294) = ( 35 x 294 ) / 1470

GCD(35, 294) = 10290 / 1470

GCD(35, 294) = 7

Step2:

Here we consider the GCD from the above i.e. 7 as first number and the next as 212

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

LCM(7, 212) = 1484

GCD(7, 212) = ( 7 x 212 ) / 1484

GCD(7, 212) = 1484 / 1484

GCD(7, 212) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 808

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

LCM(1, 808) = 808

GCD(1, 808) = ( 1 x 808 ) / 808

GCD(1, 808) = 808 / 808

GCD(1, 808) = 1

GCD of 35, 294, 212, 808 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 72, 502, 434, 963
• GCD of 11, 527, 957, 881
• GCD of 24, 256, 334, 149
• GCD of 19, 404, 315, 901
• GCD of 53, 216, 308, 624

1. What is the GCD of 35, 294, 212, 808?

GCD of 35, 294, 212, 808 is 1

2. Where do I get the detailed procedure to find GCD of 35, 294, 212, 808?

You can find a detailed procedure to find GCD of 35, 294, 212, 808 on our page.

3. How to find GCD of 35, 294, 212, 808 on a calculator?

You can find the GCD of 35, 294, 212, 808 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.