GCD of 687, 899, 720, 348 Calculator

Given Input numbers are 687, 899, 720, 348

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 899

List of positive integer divisors of 899 that divides 899 without a remainder.

1, 29, 31, 899

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 348

List of positive integer divisors of 348 that divides 348 without a remainder.

1, 2, 3, 4, 6, 12, 29, 58, 87, 116, 174, 348

Greatest Common Divisior

We found the divisors of 687, 899, 720, 348 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 687, 899, 720, 348 is 1.

Therefore, GCD of numbers 687, 899, 720, 348 is 1

Given Input Data is 687, 899, 720, 348

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

Prime Factorization of 687 is 3 x 229

Prime Factorization of 899 is 29 x 31

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

Prime Factorization of 348 is 2 x 2 x 3 x 29

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, 899) = 617613

GCD(687, 899) = ( 687 x 899 ) / 617613

GCD(687, 899) = 617613 / 617613

GCD(687, 899) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 720

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

LCM(1, 720) = 720

GCD(1, 720) = ( 1 x 720 ) / 720

GCD(1, 720) = 720 / 720

GCD(1, 720) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 348

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

LCM(1, 348) = 348

GCD(1, 348) = ( 1 x 348 ) / 348

GCD(1, 348) = 348 / 348

GCD(1, 348) = 1

GCD of 687, 899, 720, 348 is 1

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1. What is the GCD of 687, 899, 720, 348?

GCD of 687, 899, 720, 348 is 1

2. Where do I get the detailed procedure to find GCD of 687, 899, 720, 348?

You can find a detailed procedure to find GCD of 687, 899, 720, 348 on our page.

3. How to find GCD of 687, 899, 720, 348 on a calculator?

You can find the GCD of 687, 899, 720, 348 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.