GCD of 11, 214, 824, 136 Calculator

Given Input numbers are 11, 214, 824, 136

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

Divisors of 11

List of positive integer divisors of 11 that divides 11 without a remainder.

1, 11

Divisors of 214

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

1, 2, 107, 214

Divisors of 824

List of positive integer divisors of 824 that divides 824 without a remainder.

1, 2, 4, 8, 103, 206, 412, 824

Divisors of 136

List of positive integer divisors of 136 that divides 136 without a remainder.

1, 2, 4, 8, 17, 34, 68, 136

Greatest Common Divisior

We found the divisors of 11, 214, 824, 136 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 11, 214, 824, 136 is 1.

Therefore, GCD of numbers 11, 214, 824, 136 is 1

Given Input Data is 11, 214, 824, 136

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

Prime Factorization of 11 is 11

Prime Factorization of 214 is 2 x 107

Prime Factorization of 824 is 2 x 2 x 2 x 103

Prime Factorization of 136 is 2 x 2 x 2 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(11, 214) = 2354

GCD(11, 214) = ( 11 x 214 ) / 2354

GCD(11, 214) = 2354 / 2354

GCD(11, 214) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 824

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

LCM(1, 824) = 824

GCD(1, 824) = ( 1 x 824 ) / 824

GCD(1, 824) = 824 / 824

GCD(1, 824) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 136

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

LCM(1, 136) = 136

GCD(1, 136) = ( 1 x 136 ) / 136

GCD(1, 136) = 136 / 136

GCD(1, 136) = 1

GCD of 11, 214, 824, 136 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 18, 419, 999, 645
• GCD of 15, 440, 318, 315
• GCD of 42, 655, 556, 701
• GCD of 10, 840, 544, 654
• GCD of 28, 657, 380, 383

1. What is the GCD of 11, 214, 824, 136?

GCD of 11, 214, 824, 136 is 1

2. Where do I get the detailed procedure to find GCD of 11, 214, 824, 136?

You can find a detailed procedure to find GCD of 11, 214, 824, 136 on our page.

3. How to find GCD of 11, 214, 824, 136 on a calculator?

You can find the GCD of 11, 214, 824, 136 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.