GCD of 340, 894, 26, 213 Calculator

Given Input numbers are 340, 894, 26, 213

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

Divisors of 340

List of positive integer divisors of 340 that divides 340 without a remainder.

1, 2, 4, 5, 10, 17, 20, 34, 68, 85, 170, 340

Divisors of 894

List of positive integer divisors of 894 that divides 894 without a remainder.

1, 2, 3, 6, 149, 298, 447, 894

Divisors of 26

List of positive integer divisors of 26 that divides 26 without a remainder.

1, 2, 13, 26

Divisors of 213

List of positive integer divisors of 213 that divides 213 without a remainder.

1, 3, 71, 213

Greatest Common Divisior

We found the divisors of 340, 894, 26, 213 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 340, 894, 26, 213 is 1.

Therefore, GCD of numbers 340, 894, 26, 213 is 1

Given Input Data is 340, 894, 26, 213

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

Prime Factorization of 340 is 2 x 2 x 5 x 17

Prime Factorization of 894 is 2 x 3 x 149

Prime Factorization of 26 is 2 x 13

Prime Factorization of 213 is 3 x 71

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(340, 894) = 151980

GCD(340, 894) = ( 340 x 894 ) / 151980

GCD(340, 894) = 303960 / 151980

GCD(340, 894) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 26

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

LCM(2, 26) = 26

GCD(2, 26) = ( 2 x 26 ) / 26

GCD(2, 26) = 52 / 26

GCD(2, 26) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 213

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

LCM(2, 213) = 426

GCD(2, 213) = ( 2 x 213 ) / 426

GCD(2, 213) = 426 / 426

GCD(2, 213) = 1

GCD of 340, 894, 26, 213 is 1

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• GCD of 808, 244, 82, 586
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1. What is the GCD of 340, 894, 26, 213?

GCD of 340, 894, 26, 213 is 1

2. Where do I get the detailed procedure to find GCD of 340, 894, 26, 213?

You can find a detailed procedure to find GCD of 340, 894, 26, 213 on our page.

3. How to find GCD of 340, 894, 26, 213 on a calculator?

You can find the GCD of 340, 894, 26, 213 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.