GCD of 214, 209, 221, 153 Calculator

Given Input numbers are 214, 209, 221, 153

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 209

List of positive integer divisors of 209 that divides 209 without a remainder.

1, 11, 19, 209

Divisors of 221

List of positive integer divisors of 221 that divides 221 without a remainder.

1, 13, 17, 221

Divisors of 153

List of positive integer divisors of 153 that divides 153 without a remainder.

1, 3, 9, 17, 51, 153

Greatest Common Divisior

We found the divisors of 214, 209, 221, 153 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 214, 209, 221, 153 is 1.

Therefore, GCD of numbers 214, 209, 221, 153 is 1

Given Input Data is 214, 209, 221, 153

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

Prime Factorization of 214 is 2 x 107

Prime Factorization of 209 is 11 x 19

Prime Factorization of 221 is 13 x 17

Prime Factorization of 153 is 3 x 3 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(214, 209) = 44726

GCD(214, 209) = ( 214 x 209 ) / 44726

GCD(214, 209) = 44726 / 44726

GCD(214, 209) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 221

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

LCM(1, 221) = 221

GCD(1, 221) = ( 1 x 221 ) / 221

GCD(1, 221) = 221 / 221

GCD(1, 221) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 153

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

LCM(1, 153) = 153

GCD(1, 153) = ( 1 x 153 ) / 153

GCD(1, 153) = 153 / 153

GCD(1, 153) = 1

GCD of 214, 209, 221, 153 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 429, 939, 209, 941
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• GCD of 613, 775, 985, 804

1. What is the GCD of 214, 209, 221, 153?

GCD of 214, 209, 221, 153 is 1

2. Where do I get the detailed procedure to find GCD of 214, 209, 221, 153?

You can find a detailed procedure to find GCD of 214, 209, 221, 153 on our page.

3. How to find GCD of 214, 209, 221, 153 on a calculator?

You can find the GCD of 214, 209, 221, 153 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.