GCD of 178, 720, 213, 687 Calculator

Given Input numbers are 178, 720, 213, 687

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

Divisors of 178

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

1, 2, 89, 178

Divisors of 720

List of positive integer divisors of 720 that divides 720 without a remainder.

1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 30, 36, 40, 45, 48, 60, 72, 80, 90, 120, 144, 180, 240, 360, 720

Divisors of 213

List of positive integer divisors of 213 that divides 213 without a remainder.

1, 3, 71, 213

Divisors of 687

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

1, 3, 229, 687

Greatest Common Divisior

We found the divisors of 178, 720, 213, 687 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 178, 720, 213, 687 is 1.

Therefore, GCD of numbers 178, 720, 213, 687 is 1

Given Input Data is 178, 720, 213, 687

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

Prime Factorization of 178 is 2 x 89

Prime Factorization of 720 is 2 x 2 x 2 x 2 x 3 x 3 x 5

Prime Factorization of 213 is 3 x 71

Prime Factorization of 687 is 3 x 229

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(178, 720) = 64080

GCD(178, 720) = ( 178 x 720 ) / 64080

GCD(178, 720) = 128160 / 64080

GCD(178, 720) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 213

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

LCM(2, 213) = 426

GCD(2, 213) = ( 2 x 213 ) / 426

GCD(2, 213) = 426 / 426

GCD(2, 213) = 1

Step3:

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

GCD of 178, 720, 213, 687 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 251, 322, 292, 866
• GCD of 318, 488, 344, 676
• GCD of 839, 830, 344, 752
• GCD of 163, 790, 816, 151
• GCD of 203, 376, 404, 716

1. What is the GCD of 178, 720, 213, 687?

GCD of 178, 720, 213, 687 is 1

2. Where do I get the detailed procedure to find GCD of 178, 720, 213, 687?

You can find a detailed procedure to find GCD of 178, 720, 213, 687 on our page.

3. How to find GCD of 178, 720, 213, 687 on a calculator?

You can find the GCD of 178, 720, 213, 687 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.