GCD of 35, 378, 218, 286 Calculator

Given Input numbers are 35, 378, 218, 286

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 378

List of positive integer divisors of 378 that divides 378 without a remainder.

1, 2, 3, 6, 7, 9, 14, 18, 21, 27, 42, 54, 63, 126, 189, 378

Divisors of 218

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

1, 2, 109, 218

Divisors of 286

List of positive integer divisors of 286 that divides 286 without a remainder.

1, 2, 11, 13, 22, 26, 143, 286

Greatest Common Divisior

We found the divisors of 35, 378, 218, 286 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 35, 378, 218, 286 is 1.

Therefore, GCD of numbers 35, 378, 218, 286 is 1

Given Input Data is 35, 378, 218, 286

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

Prime Factorization of 35 is 5 x 7

Prime Factorization of 378 is 2 x 3 x 3 x 3 x 7

Prime Factorization of 218 is 2 x 109

Prime Factorization of 286 is 2 x 11 x 13

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, 378) = 1890

GCD(35, 378) = ( 35 x 378 ) / 1890

GCD(35, 378) = 13230 / 1890

GCD(35, 378) = 7

Step2:

Here we consider the GCD from the above i.e. 7 as first number and the next as 218

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

LCM(7, 218) = 1526

GCD(7, 218) = ( 7 x 218 ) / 1526

GCD(7, 218) = 1526 / 1526

GCD(7, 218) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 286

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

LCM(1, 286) = 286

GCD(1, 286) = ( 1 x 286 ) / 286

GCD(1, 286) = 286 / 286

GCD(1, 286) = 1

GCD of 35, 378, 218, 286 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 67, 950, 992, 537
• GCD of 85, 322, 950, 883
• GCD of 64, 177, 982, 898
• GCD of 19, 125, 404, 568
• GCD of 54, 524, 588, 752

1. What is the GCD of 35, 378, 218, 286?

GCD of 35, 378, 218, 286 is 1

2. Where do I get the detailed procedure to find GCD of 35, 378, 218, 286?

You can find a detailed procedure to find GCD of 35, 378, 218, 286 on our page.

3. How to find GCD of 35, 378, 218, 286 on a calculator?

You can find the GCD of 35, 378, 218, 286 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.