GCD of 272, 688, 184, 305 Calculator

Given Input numbers are 272, 688, 184, 305

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

Divisors of 272

List of positive integer divisors of 272 that divides 272 without a remainder.

1, 2, 4, 8, 16, 17, 34, 68, 136, 272

Divisors of 688

List of positive integer divisors of 688 that divides 688 without a remainder.

1, 2, 4, 8, 16, 43, 86, 172, 344, 688

Divisors of 184

List of positive integer divisors of 184 that divides 184 without a remainder.

1, 2, 4, 8, 23, 46, 92, 184

Divisors of 305

List of positive integer divisors of 305 that divides 305 without a remainder.

1, 5, 61, 305

Greatest Common Divisior

We found the divisors of 272, 688, 184, 305 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 272, 688, 184, 305 is 1.

Therefore, GCD of numbers 272, 688, 184, 305 is 1

Given Input Data is 272, 688, 184, 305

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

Prime Factorization of 272 is 2 x 2 x 2 x 2 x 17

Prime Factorization of 688 is 2 x 2 x 2 x 2 x 43

Prime Factorization of 184 is 2 x 2 x 2 x 23

Prime Factorization of 305 is 5 x 61

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(272, 688) = 11696

GCD(272, 688) = ( 272 x 688 ) / 11696

GCD(272, 688) = 187136 / 11696

GCD(272, 688) = 16

Step2:

Here we consider the GCD from the above i.e. 16 as first number and the next as 184

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

LCM(16, 184) = 368

GCD(16, 184) = ( 16 x 184 ) / 368

GCD(16, 184) = 2944 / 368

GCD(16, 184) = 8

Step3:

Here we consider the GCD from the above i.e. 8 as first number and the next as 305

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

LCM(8, 305) = 2440

GCD(8, 305) = ( 8 x 305 ) / 2440

GCD(8, 305) = 2440 / 2440

GCD(8, 305) = 1

GCD of 272, 688, 184, 305 is 1

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• GCD of 111, 113, 426, 688
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1. What is the GCD of 272, 688, 184, 305?

GCD of 272, 688, 184, 305 is 1

2. Where do I get the detailed procedure to find GCD of 272, 688, 184, 305?

You can find a detailed procedure to find GCD of 272, 688, 184, 305 on our page.

3. How to find GCD of 272, 688, 184, 305 on a calculator?

You can find the GCD of 272, 688, 184, 305 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.