GCD of 696, 224, 908, 107 Calculator

Given Input numbers are 696, 224, 908, 107

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

Divisors of 696

List of positive integer divisors of 696 that divides 696 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 29, 58, 87, 116, 174, 232, 348, 696

Divisors of 224

List of positive integer divisors of 224 that divides 224 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 112, 224

Divisors of 908

List of positive integer divisors of 908 that divides 908 without a remainder.

1, 2, 4, 227, 454, 908

Divisors of 107

List of positive integer divisors of 107 that divides 107 without a remainder.

1, 107

Greatest Common Divisior

We found the divisors of 696, 224, 908, 107 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 696, 224, 908, 107 is 1.

Therefore, GCD of numbers 696, 224, 908, 107 is 1

Given Input Data is 696, 224, 908, 107

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

Prime Factorization of 696 is 2 x 2 x 2 x 3 x 29

Prime Factorization of 224 is 2 x 2 x 2 x 2 x 2 x 7

Prime Factorization of 908 is 2 x 2 x 227

Prime Factorization of 107 is 107

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(696, 224) = 19488

GCD(696, 224) = ( 696 x 224 ) / 19488

GCD(696, 224) = 155904 / 19488

GCD(696, 224) = 8

Step2:

Here we consider the GCD from the above i.e. 8 as first number and the next as 908

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

LCM(8, 908) = 1816

GCD(8, 908) = ( 8 x 908 ) / 1816

GCD(8, 908) = 7264 / 1816

GCD(8, 908) = 4

Step3:

Here we consider the GCD from the above i.e. 4 as first number and the next as 107

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

LCM(4, 107) = 428

GCD(4, 107) = ( 4 x 107 ) / 428

GCD(4, 107) = 428 / 428

GCD(4, 107) = 1

GCD of 696, 224, 908, 107 is 1

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1. What is the GCD of 696, 224, 908, 107?

GCD of 696, 224, 908, 107 is 1

2. Where do I get the detailed procedure to find GCD of 696, 224, 908, 107?

You can find a detailed procedure to find GCD of 696, 224, 908, 107 on our page.

3. How to find GCD of 696, 224, 908, 107 on a calculator?

You can find the GCD of 696, 224, 908, 107 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.