GCD of 896, 744, 14, 910 Calculator

Given Input numbers are 896, 744, 14, 910

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 744

List of positive integer divisors of 744 that divides 744 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 31, 62, 93, 124, 186, 248, 372, 744

Divisors of 14

List of positive integer divisors of 14 that divides 14 without a remainder.

1, 2, 7, 14

Divisors of 910

List of positive integer divisors of 910 that divides 910 without a remainder.

1, 2, 5, 7, 10, 13, 14, 26, 35, 65, 70, 91, 130, 182, 455, 910

Greatest Common Divisior

We found the divisors of 896, 744, 14, 910 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 896, 744, 14, 910 is 2.

Therefore, GCD of numbers 896, 744, 14, 910 is 2

Given Input Data is 896, 744, 14, 910

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 744 is 2 x 2 x 2 x 3 x 31

Prime Factorization of 14 is 2 x 7

Prime Factorization of 910 is 2 x 5 x 7 x 13

Highest common occurrences in the given inputs are 2¹

Multiplying them we get the GCD as 2

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, 744) = 83328

GCD(896, 744) = ( 896 x 744 ) / 83328

GCD(896, 744) = 666624 / 83328

GCD(896, 744) = 8

Step2:

Here we consider the GCD from the above i.e. 8 as first number and the next as 14

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

LCM(8, 14) = 56

GCD(8, 14) = ( 8 x 14 ) / 56

GCD(8, 14) = 112 / 56

GCD(8, 14) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 910

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

LCM(2, 910) = 910

GCD(2, 910) = ( 2 x 910 ) / 910

GCD(2, 910) = 1820 / 910

GCD(2, 910) = 2

GCD of 896, 744, 14, 910 is 2

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1. What is the GCD of 896, 744, 14, 910?

GCD of 896, 744, 14, 910 is 2

2. Where do I get the detailed procedure to find GCD of 896, 744, 14, 910?

You can find a detailed procedure to find GCD of 896, 744, 14, 910 on our page.

3. How to find GCD of 896, 744, 14, 910 on a calculator?

You can find the GCD of 896, 744, 14, 910 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.