GCD of 687, 360, 178 Calculator

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Make use of GCD Calculator to determine the Greatest Common Divisor of 687, 360, 178 i.e. 1 largest integer that divides all the numbers equally.

GCD of 687, 360, 178 is 1

GCD(687, 360, 178) = 1

Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345

GCD of

GCD of numbers 687, 360, 178 is 1

GCD(687, 360, 178) = 1

GCD of 687,360,178 Calculator

GCDof 687,360,178 is 1

Given Input numbers are 687, 360, 178

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 360

List of positive integer divisors of 360 that divides 360 without a remainder.

1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 90, 120, 180, 360

Divisors of 178

List of positive integer divisors of 178 that divides 178 without a remainder.

1, 2, 89, 178

Greatest Common Divisior

We found the divisors of 687, 360, 178 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 687, 360, 178 is 1.

Therefore, GCD of numbers 687, 360, 178 is 1

Finding GCD of 687, 360, 178 using Prime Factorization

Given Input Data is 687, 360, 178

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

Prime Factorization of 687 is 3 x 229

Prime Factorization of 360 is 2 x 2 x 2 x 3 x 3 x 5

Prime Factorization of 178 is 2 x 89

The above numbers do not have any common prime factor. So GCD is 1

Finding GCD of 687, 360, 178 using LCM Formula

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, 360) = 82440

GCD(687, 360) = ( 687 x 360 ) / 82440

GCD(687, 360) = 247320 / 82440

GCD(687, 360) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 178

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

LCM(3, 178) = 534

GCD(3, 178) = ( 3 x 178 ) / 534

GCD(3, 178) = 534 / 534

GCD(3, 178) = 1

GCD of 687, 360, 178 is 1

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FAQs on GCD of numbers 687, 360, 178

1. What is the GCD of 687, 360, 178?

GCD of 687, 360, 178 is 1

2. Where do I get the detailed procedure to find GCD of 687, 360, 178?

You can find a detailed procedure to find GCD of 687, 360, 178 on our page.

3. How to find GCD of 687, 360, 178 on a calculator?

You can find the GCD of 687, 360, 178 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.