GCD of 832, 275, 687, 224 Calculator

Given Input numbers are 832, 275, 687, 224

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

Divisors of 832

List of positive integer divisors of 832 that divides 832 without a remainder.

1, 2, 4, 8, 13, 16, 26, 32, 52, 64, 104, 208, 416, 832

Divisors of 275

List of positive integer divisors of 275 that divides 275 without a remainder.

1, 5, 11, 25, 55, 275

Divisors of 687

List of positive integer divisors of 687 that divides 687 without a remainder.

1, 3, 229, 687

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

Greatest Common Divisior

We found the divisors of 832, 275, 687, 224 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 832, 275, 687, 224 is 1.

Therefore, GCD of numbers 832, 275, 687, 224 is 1

Given Input Data is 832, 275, 687, 224

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

Prime Factorization of 832 is 2 x 2 x 2 x 2 x 2 x 2 x 13

Prime Factorization of 275 is 5 x 5 x 11

Prime Factorization of 687 is 3 x 229

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

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(832, 275) = 228800

GCD(832, 275) = ( 832 x 275 ) / 228800

GCD(832, 275) = 228800 / 228800

GCD(832, 275) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 687

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

LCM(1, 687) = 687

GCD(1, 687) = ( 1 x 687 ) / 687

GCD(1, 687) = 687 / 687

GCD(1, 687) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 224

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

LCM(1, 224) = 224

GCD(1, 224) = ( 1 x 224 ) / 224

GCD(1, 224) = 224 / 224

GCD(1, 224) = 1

GCD of 832, 275, 687, 224 is 1

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1. What is the GCD of 832, 275, 687, 224?

GCD of 832, 275, 687, 224 is 1

2. Where do I get the detailed procedure to find GCD of 832, 275, 687, 224?

You can find a detailed procedure to find GCD of 832, 275, 687, 224 on our page.

3. How to find GCD of 832, 275, 687, 224 on a calculator?

You can find the GCD of 832, 275, 687, 224 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.