GCD of 214, 206, 338, 892 Calculator

Given Input numbers are 214, 206, 338, 892

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 206

List of positive integer divisors of 206 that divides 206 without a remainder.

1, 2, 103, 206

Divisors of 338

List of positive integer divisors of 338 that divides 338 without a remainder.

1, 2, 13, 26, 169, 338

Divisors of 892

List of positive integer divisors of 892 that divides 892 without a remainder.

1, 2, 4, 223, 446, 892

Greatest Common Divisior

We found the divisors of 214, 206, 338, 892 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 214, 206, 338, 892 is 2.

Therefore, GCD of numbers 214, 206, 338, 892 is 2

Given Input Data is 214, 206, 338, 892

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

Prime Factorization of 214 is 2 x 107

Prime Factorization of 206 is 2 x 103

Prime Factorization of 338 is 2 x 13 x 13

Prime Factorization of 892 is 2 x 2 x 223

Highest common occurrences in the given inputs are 2¹

Multiplying them we get the GCD as 2

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, 206) = 22042

GCD(214, 206) = ( 214 x 206 ) / 22042

GCD(214, 206) = 44084 / 22042

GCD(214, 206) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 338

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

LCM(2, 338) = 338

GCD(2, 338) = ( 2 x 338 ) / 338

GCD(2, 338) = 676 / 338

GCD(2, 338) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 892

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

LCM(2, 892) = 892

GCD(2, 892) = ( 2 x 892 ) / 892

GCD(2, 892) = 1784 / 892

GCD(2, 892) = 2

GCD of 214, 206, 338, 892 is 2

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1. What is the GCD of 214, 206, 338, 892?

GCD of 214, 206, 338, 892 is 2

2. Where do I get the detailed procedure to find GCD of 214, 206, 338, 892?

You can find a detailed procedure to find GCD of 214, 206, 338, 892 on our page.

3. How to find GCD of 214, 206, 338, 892 on a calculator?

You can find the GCD of 214, 206, 338, 892 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.