GCD of 686, 429, 381, 561 Calculator

Given Input numbers are 686, 429, 381, 561

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

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 429

List of positive integer divisors of 429 that divides 429 without a remainder.

1, 3, 11, 13, 33, 39, 143, 429

Divisors of 381

List of positive integer divisors of 381 that divides 381 without a remainder.

1, 3, 127, 381

Divisors of 561

List of positive integer divisors of 561 that divides 561 without a remainder.

1, 3, 11, 17, 33, 51, 187, 561

Greatest Common Divisior

We found the divisors of 686, 429, 381, 561 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 686, 429, 381, 561 is 1.

Therefore, GCD of numbers 686, 429, 381, 561 is 1

Given Input Data is 686, 429, 381, 561

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

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

Prime Factorization of 429 is 3 x 11 x 13

Prime Factorization of 381 is 3 x 127

Prime Factorization of 561 is 3 x 11 x 17

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(686, 429) = 294294

GCD(686, 429) = ( 686 x 429 ) / 294294

GCD(686, 429) = 294294 / 294294

GCD(686, 429) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 381

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

LCM(1, 381) = 381

GCD(1, 381) = ( 1 x 381 ) / 381

GCD(1, 381) = 381 / 381

GCD(1, 381) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 561

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

LCM(1, 561) = 561

GCD(1, 561) = ( 1 x 561 ) / 561

GCD(1, 561) = 561 / 561

GCD(1, 561) = 1

GCD of 686, 429, 381, 561 is 1

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1. What is the GCD of 686, 429, 381, 561?

GCD of 686, 429, 381, 561 is 1

2. Where do I get the detailed procedure to find GCD of 686, 429, 381, 561?

You can find a detailed procedure to find GCD of 686, 429, 381, 561 on our page.

3. How to find GCD of 686, 429, 381, 561 on a calculator?

You can find the GCD of 686, 429, 381, 561 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.