GCD of 116, 217, 88, 424 Calculator

Given Input numbers are 116, 217, 88, 424

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

Divisors of 116

List of positive integer divisors of 116 that divides 116 without a remainder.

1, 2, 4, 29, 58, 116

Divisors of 217

List of positive integer divisors of 217 that divides 217 without a remainder.

1, 7, 31, 217

Divisors of 88

List of positive integer divisors of 88 that divides 88 without a remainder.

1, 2, 4, 8, 11, 22, 44, 88

Divisors of 424

List of positive integer divisors of 424 that divides 424 without a remainder.

1, 2, 4, 8, 53, 106, 212, 424

Greatest Common Divisior

We found the divisors of 116, 217, 88, 424 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 116, 217, 88, 424 is 1.

Therefore, GCD of numbers 116, 217, 88, 424 is 1

Given Input Data is 116, 217, 88, 424

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

Prime Factorization of 116 is 2 x 2 x 29

Prime Factorization of 217 is 7 x 31

Prime Factorization of 88 is 2 x 2 x 2 x 11

Prime Factorization of 424 is 2 x 2 x 2 x 53

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(116, 217) = 25172

GCD(116, 217) = ( 116 x 217 ) / 25172

GCD(116, 217) = 25172 / 25172

GCD(116, 217) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 88

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

LCM(1, 88) = 88

GCD(1, 88) = ( 1 x 88 ) / 88

GCD(1, 88) = 88 / 88

GCD(1, 88) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 424

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

LCM(1, 424) = 424

GCD(1, 424) = ( 1 x 424 ) / 424

GCD(1, 424) = 424 / 424

GCD(1, 424) = 1

GCD of 116, 217, 88, 424 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 345, 603, 81, 649
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• GCD of 824, 808, 72, 320

1. What is the GCD of 116, 217, 88, 424?

GCD of 116, 217, 88, 424 is 1

2. Where do I get the detailed procedure to find GCD of 116, 217, 88, 424?

You can find a detailed procedure to find GCD of 116, 217, 88, 424 on our page.

3. How to find GCD of 116, 217, 88, 424 on a calculator?

You can find the GCD of 116, 217, 88, 424 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.