GCD of 896, 922, 14 Calculator

Given Input numbers are 896, 922, 14

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 922

List of positive integer divisors of 922 that divides 922 without a remainder.

1, 2, 461, 922

Divisors of 14

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

1, 2, 7, 14

Greatest Common Divisior

We found the divisors of 896, 922, 14 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 896, 922, 14 is 2.

Therefore, GCD of numbers 896, 922, 14 is 2

Given Input Data is 896, 922, 14

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 922 is 2 x 461

Prime Factorization of 14 is 2 x 7

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, 922) = 413056

GCD(896, 922) = ( 896 x 922 ) / 413056

GCD(896, 922) = 826112 / 413056

GCD(896, 922) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 14

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

LCM(2, 14) = 14

GCD(2, 14) = ( 2 x 14 ) / 14

GCD(2, 14) = 28 / 14

GCD(2, 14) = 2

GCD of 896, 922, 14 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 797, 591, 46
• GCD of 450, 942, 55
• GCD of 274, 302, 79
• GCD of 874, 713, 68
• GCD of 748, 939, 92

1. What is the GCD of 896, 922, 14?

GCD of 896, 922, 14 is 2

2. Where do I get the detailed procedure to find GCD of 896, 922, 14?

You can find a detailed procedure to find GCD of 896, 922, 14 on our page.

3. How to find GCD of 896, 922, 14 on a calculator?

You can find the GCD of 896, 922, 14 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.