GCD of 348, 555, 84, 686 Calculator

Given Input numbers are 348, 555, 84, 686

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

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

Divisors of 555

List of positive integer divisors of 555 that divides 555 without a remainder.

1, 3, 5, 15, 37, 111, 185, 555

Divisors of 84

List of positive integer divisors of 84 that divides 84 without a remainder.

1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84

Divisors of 686

List of positive integer divisors of 686 that divides 686 without a remainder.

1, 2, 7, 14, 49, 98, 343, 686

Greatest Common Divisior

We found the divisors of 348, 555, 84, 686 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 348, 555, 84, 686 is 1.

Therefore, GCD of numbers 348, 555, 84, 686 is 1

Given Input Data is 348, 555, 84, 686

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

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

Prime Factorization of 555 is 3 x 5 x 37

Prime Factorization of 84 is 2 x 2 x 3 x 7

Prime Factorization of 686 is 2 x 7 x 7 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(348, 555) = 64380

GCD(348, 555) = ( 348 x 555 ) / 64380

GCD(348, 555) = 193140 / 64380

GCD(348, 555) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 84

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

LCM(3, 84) = 84

GCD(3, 84) = ( 3 x 84 ) / 84

GCD(3, 84) = 252 / 84

GCD(3, 84) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 686

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

LCM(3, 686) = 2058

GCD(3, 686) = ( 3 x 686 ) / 2058

GCD(3, 686) = 2058 / 2058

GCD(3, 686) = 1

GCD of 348, 555, 84, 686 is 1

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• GCD of 805, 821, 79, 215
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1. What is the GCD of 348, 555, 84, 686?

GCD of 348, 555, 84, 686 is 1

2. Where do I get the detailed procedure to find GCD of 348, 555, 84, 686?

You can find a detailed procedure to find GCD of 348, 555, 84, 686 on our page.

3. How to find GCD of 348, 555, 84, 686 on a calculator?

You can find the GCD of 348, 555, 84, 686 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.