GCD of 635, 214, 18, 850 Calculator

Given Input numbers are 635, 214, 18, 850

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

Divisors of 635

List of positive integer divisors of 635 that divides 635 without a remainder.

1, 5, 127, 635

Divisors of 214

List of positive integer divisors of 214 that divides 214 without a remainder.

1, 2, 107, 214

Divisors of 18

List of positive integer divisors of 18 that divides 18 without a remainder.

1, 2, 3, 6, 9, 18

Divisors of 850

List of positive integer divisors of 850 that divides 850 without a remainder.

1, 2, 5, 10, 17, 25, 34, 50, 85, 170, 425, 850

Greatest Common Divisior

We found the divisors of 635, 214, 18, 850 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 635, 214, 18, 850 is 1.

Therefore, GCD of numbers 635, 214, 18, 850 is 1

Given Input Data is 635, 214, 18, 850

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

Prime Factorization of 635 is 5 x 127

Prime Factorization of 214 is 2 x 107

Prime Factorization of 18 is 2 x 3 x 3

Prime Factorization of 850 is 2 x 5 x 5 x 17

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(635, 214) = 135890

GCD(635, 214) = ( 635 x 214 ) / 135890

GCD(635, 214) = 135890 / 135890

GCD(635, 214) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 18

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

LCM(1, 18) = 18

GCD(1, 18) = ( 1 x 18 ) / 18

GCD(1, 18) = 18 / 18

GCD(1, 18) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 850

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

LCM(1, 850) = 850

GCD(1, 850) = ( 1 x 850 ) / 850

GCD(1, 850) = 850 / 850

GCD(1, 850) = 1

GCD of 635, 214, 18, 850 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 222, 404, 44, 193
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• GCD of 543, 319, 60, 467
• GCD of 484, 228, 50, 748
• GCD of 980, 240, 25, 847

1. What is the GCD of 635, 214, 18, 850?

GCD of 635, 214, 18, 850 is 1

2. Where do I get the detailed procedure to find GCD of 635, 214, 18, 850?

You can find a detailed procedure to find GCD of 635, 214, 18, 850 on our page.

3. How to find GCD of 635, 214, 18, 850 on a calculator?

You can find the GCD of 635, 214, 18, 850 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.