GCD of 24, 408, 979, 214 Calculator

Given Input numbers are 24, 408, 979, 214

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

Divisors of 24

List of positive integer divisors of 24 that divides 24 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24

Divisors of 408

List of positive integer divisors of 408 that divides 408 without a remainder.

1, 2, 3, 4, 6, 8, 12, 17, 24, 34, 51, 68, 102, 136, 204, 408

Divisors of 979

List of positive integer divisors of 979 that divides 979 without a remainder.

1, 11, 89, 979

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 24, 408, 979, 214 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 24, 408, 979, 214 is 1.

Therefore, GCD of numbers 24, 408, 979, 214 is 1

Given Input Data is 24, 408, 979, 214

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

Prime Factorization of 24 is 2 x 2 x 2 x 3

Prime Factorization of 408 is 2 x 2 x 2 x 3 x 17

Prime Factorization of 979 is 11 x 89

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(24, 408) = 408

GCD(24, 408) = ( 24 x 408 ) / 408

GCD(24, 408) = 9792 / 408

GCD(24, 408) = 24

Step2:

Here we consider the GCD from the above i.e. 24 as first number and the next as 979

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

LCM(24, 979) = 23496

GCD(24, 979) = ( 24 x 979 ) / 23496

GCD(24, 979) = 23496 / 23496

GCD(24, 979) = 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 24, 408, 979, 214 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 43, 114, 444, 525
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• GCD of 95, 713, 755, 537
• GCD of 22, 977, 147, 480
• GCD of 47, 543, 253, 538

1. What is the GCD of 24, 408, 979, 214?

GCD of 24, 408, 979, 214 is 1

2. Where do I get the detailed procedure to find GCD of 24, 408, 979, 214?

You can find a detailed procedure to find GCD of 24, 408, 979, 214 on our page.

3. How to find GCD of 24, 408, 979, 214 on a calculator?

You can find the GCD of 24, 408, 979, 214 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.