GCD of 687, 853, 359, 288 Calculator

Given Input numbers are 687, 853, 359, 288

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

Divisors of 687

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

1, 3, 229, 687

Divisors of 853

List of positive integer divisors of 853 that divides 853 without a remainder.

1, 853

Divisors of 359

List of positive integer divisors of 359 that divides 359 without a remainder.

1, 359

Divisors of 288

List of positive integer divisors of 288 that divides 288 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 72, 96, 144, 288

Greatest Common Divisior

We found the divisors of 687, 853, 359, 288 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 687, 853, 359, 288 is 1.

Therefore, GCD of numbers 687, 853, 359, 288 is 1

Given Input Data is 687, 853, 359, 288

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

Prime Factorization of 687 is 3 x 229

Prime Factorization of 853 is 853

Prime Factorization of 359 is 359

Prime Factorization of 288 is 2 x 2 x 2 x 2 x 2 x 3 x 3

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(687, 853) = 586011

GCD(687, 853) = ( 687 x 853 ) / 586011

GCD(687, 853) = 586011 / 586011

GCD(687, 853) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 359

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

LCM(1, 359) = 359

GCD(1, 359) = ( 1 x 359 ) / 359

GCD(1, 359) = 359 / 359

GCD(1, 359) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 288

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

LCM(1, 288) = 288

GCD(1, 288) = ( 1 x 288 ) / 288

GCD(1, 288) = 288 / 288

GCD(1, 288) = 1

GCD of 687, 853, 359, 288 is 1

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1. What is the GCD of 687, 853, 359, 288?

GCD of 687, 853, 359, 288 is 1

2. Where do I get the detailed procedure to find GCD of 687, 853, 359, 288?

You can find a detailed procedure to find GCD of 687, 853, 359, 288 on our page.

3. How to find GCD of 687, 853, 359, 288 on a calculator?

You can find the GCD of 687, 853, 359, 288 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.