GCD of 514, 686, 546, 179 Calculator

Given Input numbers are 514, 686, 546, 179

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

Divisors of 514

List of positive integer divisors of 514 that divides 514 without a remainder.

1, 2, 257, 514

Divisors of 686

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

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

Divisors of 546

List of positive integer divisors of 546 that divides 546 without a remainder.

1, 2, 3, 6, 7, 13, 14, 21, 26, 39, 42, 78, 91, 182, 273, 546

Divisors of 179

List of positive integer divisors of 179 that divides 179 without a remainder.

1, 179

Greatest Common Divisior

We found the divisors of 514, 686, 546, 179 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 514, 686, 546, 179 is 1.

Therefore, GCD of numbers 514, 686, 546, 179 is 1

Given Input Data is 514, 686, 546, 179

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

Prime Factorization of 514 is 2 x 257

Prime Factorization of 686 is 2 x 7 x 7 x 7

Prime Factorization of 546 is 2 x 3 x 7 x 13

Prime Factorization of 179 is 179

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(514, 686) = 176302

GCD(514, 686) = ( 514 x 686 ) / 176302

GCD(514, 686) = 352604 / 176302

GCD(514, 686) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 546

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

LCM(2, 546) = 546

GCD(2, 546) = ( 2 x 546 ) / 546

GCD(2, 546) = 1092 / 546

GCD(2, 546) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 179

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

LCM(2, 179) = 358

GCD(2, 179) = ( 2 x 179 ) / 358

GCD(2, 179) = 358 / 358

GCD(2, 179) = 1

GCD of 514, 686, 546, 179 is 1

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1. What is the GCD of 514, 686, 546, 179?

GCD of 514, 686, 546, 179 is 1

2. Where do I get the detailed procedure to find GCD of 514, 686, 546, 179?

You can find a detailed procedure to find GCD of 514, 686, 546, 179 on our page.

3. How to find GCD of 514, 686, 546, 179 on a calculator?

You can find the GCD of 514, 686, 546, 179 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.