GCD of 112, 896, 684, 305 Calculator

Given Input numbers are 112, 896, 684, 305

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

Divisors of 112

List of positive integer divisors of 112 that divides 112 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 56, 112

Divisors of 896

List of positive integer divisors of 896 that divides 896 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 128, 224, 448, 896

Divisors of 684

List of positive integer divisors of 684 that divides 684 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 19, 36, 38, 57, 76, 114, 171, 228, 342, 684

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 112, 896, 684, 305 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 112, 896, 684, 305 is 1.

Therefore, GCD of numbers 112, 896, 684, 305 is 1

Given Input Data is 112, 896, 684, 305

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

Prime Factorization of 112 is 2 x 2 x 2 x 2 x 7

Prime Factorization of 896 is 2 x 2 x 2 x 2 x 2 x 2 x 2 x 7

Prime Factorization of 684 is 2 x 2 x 3 x 3 x 19

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(112, 896) = 896

GCD(112, 896) = ( 112 x 896 ) / 896

GCD(112, 896) = 100352 / 896

GCD(112, 896) = 112

Step2:

Here we consider the GCD from the above i.e. 112 as first number and the next as 684

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

LCM(112, 684) = 19152

GCD(112, 684) = ( 112 x 684 ) / 19152

GCD(112, 684) = 76608 / 19152

GCD(112, 684) = 4

Step3:

Here we consider the GCD from the above i.e. 4 as first number and the next as 305

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

LCM(4, 305) = 1220

GCD(4, 305) = ( 4 x 305 ) / 1220

GCD(4, 305) = 1220 / 1220

GCD(4, 305) = 1

GCD of 112, 896, 684, 305 is 1

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1. What is the GCD of 112, 896, 684, 305?

GCD of 112, 896, 684, 305 is 1

2. Where do I get the detailed procedure to find GCD of 112, 896, 684, 305?

You can find a detailed procedure to find GCD of 112, 896, 684, 305 on our page.

3. How to find GCD of 112, 896, 684, 305 on a calculator?

You can find the GCD of 112, 896, 684, 305 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.