GCD of 896, 434, 616 Calculator

Given Input numbers are 896, 434, 616

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

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 434

List of positive integer divisors of 434 that divides 434 without a remainder.

1, 2, 7, 14, 31, 62, 217, 434

Divisors of 616

List of positive integer divisors of 616 that divides 616 without a remainder.

1, 2, 4, 7, 8, 11, 14, 22, 28, 44, 56, 77, 88, 154, 308, 616

Greatest Common Divisior

We found the divisors of 896, 434, 616 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 896, 434, 616 is 14.

Therefore, GCD of numbers 896, 434, 616 is 14

Given Input Data is 896, 434, 616

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

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

Prime Factorization of 434 is 2 x 7 x 31

Prime Factorization of 616 is 2 x 2 x 2 x 7 x 11

Highest common occurrences in the given inputs are 2¹ x 7¹

Multiplying them we get the GCD as 14

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(896, 434) = 27776

GCD(896, 434) = ( 896 x 434 ) / 27776

GCD(896, 434) = 388864 / 27776

GCD(896, 434) = 14

Step2:

Here we consider the GCD from the above i.e. 14 as first number and the next as 616

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

LCM(14, 616) = 616

GCD(14, 616) = ( 14 x 616 ) / 616

GCD(14, 616) = 8624 / 616

GCD(14, 616) = 14

GCD of 896, 434, 616 is 14

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• GCD of 500, 235, 892
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1. What is the GCD of 896, 434, 616?

GCD of 896, 434, 616 is 14

2. Where do I get the detailed procedure to find GCD of 896, 434, 616?

You can find a detailed procedure to find GCD of 896, 434, 616 on our page.

3. How to find GCD of 896, 434, 616 on a calculator?

You can find the GCD of 896, 434, 616 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.