GCD of 340, 211, 49, 214 Calculator

Given Input numbers are 340, 211, 49, 214

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 211

List of positive integer divisors of 211 that divides 211 without a remainder.

1, 211

Divisors of 49

List of positive integer divisors of 49 that divides 49 without a remainder.

1, 7, 49

Divisors of 214

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

1, 2, 107, 214

Greatest Common Divisior

We found the divisors of 340, 211, 49, 214 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 340, 211, 49, 214 is 1.

Therefore, GCD of numbers 340, 211, 49, 214 is 1

Given Input Data is 340, 211, 49, 214

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 211 is 211

Prime Factorization of 49 is 7 x 7

Prime Factorization of 214 is 2 x 107

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, 211) = 71740

GCD(340, 211) = ( 340 x 211 ) / 71740

GCD(340, 211) = 71740 / 71740

GCD(340, 211) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 49

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

LCM(1, 49) = 49

GCD(1, 49) = ( 1 x 49 ) / 49

GCD(1, 49) = 49 / 49

GCD(1, 49) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 214

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

LCM(1, 214) = 214

GCD(1, 214) = ( 1 x 214 ) / 214

GCD(1, 214) = 214 / 214

GCD(1, 214) = 1

GCD of 340, 211, 49, 214 is 1

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• GCD of 318, 980, 43, 486
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1. What is the GCD of 340, 211, 49, 214?

GCD of 340, 211, 49, 214 is 1

2. Where do I get the detailed procedure to find GCD of 340, 211, 49, 214?

You can find a detailed procedure to find GCD of 340, 211, 49, 214 on our page.

3. How to find GCD of 340, 211, 49, 214 on a calculator?

You can find the GCD of 340, 211, 49, 214 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.