GCD of 214, 190, 919, 813 Calculator

Given Input numbers are 214, 190, 919, 813

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

Divisors of 214

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

1, 2, 107, 214

Divisors of 190

List of positive integer divisors of 190 that divides 190 without a remainder.

1, 2, 5, 10, 19, 38, 95, 190

Divisors of 919

List of positive integer divisors of 919 that divides 919 without a remainder.

1, 919

Divisors of 813

List of positive integer divisors of 813 that divides 813 without a remainder.

1, 3, 271, 813

Greatest Common Divisior

We found the divisors of 214, 190, 919, 813 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 214, 190, 919, 813 is 1.

Therefore, GCD of numbers 214, 190, 919, 813 is 1

Given Input Data is 214, 190, 919, 813

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

Prime Factorization of 214 is 2 x 107

Prime Factorization of 190 is 2 x 5 x 19

Prime Factorization of 919 is 919

Prime Factorization of 813 is 3 x 271

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(214, 190) = 20330

GCD(214, 190) = ( 214 x 190 ) / 20330

GCD(214, 190) = 40660 / 20330

GCD(214, 190) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 919

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

LCM(2, 919) = 1838

GCD(2, 919) = ( 2 x 919 ) / 1838

GCD(2, 919) = 1838 / 1838

GCD(2, 919) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 813

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

LCM(1, 813) = 813

GCD(1, 813) = ( 1 x 813 ) / 813

GCD(1, 813) = 813 / 813

GCD(1, 813) = 1

GCD of 214, 190, 919, 813 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 974, 695, 491, 260
• GCD of 898, 625, 431, 127
• GCD of 280, 607, 859, 515
• GCD of 419, 327, 937, 691
• GCD of 354, 745, 703, 532

1. What is the GCD of 214, 190, 919, 813?

GCD of 214, 190, 919, 813 is 1

2. Where do I get the detailed procedure to find GCD of 214, 190, 919, 813?

You can find a detailed procedure to find GCD of 214, 190, 919, 813 on our page.

3. How to find GCD of 214, 190, 919, 813 on a calculator?

You can find the GCD of 214, 190, 919, 813 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.