GCD of 259, 686, 84, 472 Calculator

Given Input numbers are 259, 686, 84, 472

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

Divisors of 259

List of positive integer divisors of 259 that divides 259 without a remainder.

1, 7, 37, 259

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 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 472

List of positive integer divisors of 472 that divides 472 without a remainder.

1, 2, 4, 8, 59, 118, 236, 472

Greatest Common Divisior

We found the divisors of 259, 686, 84, 472 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 259, 686, 84, 472 is 1.

Therefore, GCD of numbers 259, 686, 84, 472 is 1

Given Input Data is 259, 686, 84, 472

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

Prime Factorization of 259 is 7 x 37

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

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

Prime Factorization of 472 is 2 x 2 x 2 x 59

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(259, 686) = 25382

GCD(259, 686) = ( 259 x 686 ) / 25382

GCD(259, 686) = 177674 / 25382

GCD(259, 686) = 7

Step2:

Here we consider the GCD from the above i.e. 7 as first number and the next as 84

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

LCM(7, 84) = 84

GCD(7, 84) = ( 7 x 84 ) / 84

GCD(7, 84) = 588 / 84

GCD(7, 84) = 7

Step3:

Here we consider the GCD from the above i.e. 7 as first number and the next as 472

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

LCM(7, 472) = 3304

GCD(7, 472) = ( 7 x 472 ) / 3304

GCD(7, 472) = 3304 / 3304

GCD(7, 472) = 1

GCD of 259, 686, 84, 472 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 538, 632, 33, 893
• GCD of 918, 923, 79, 395
• GCD of 116, 976, 39, 803
• GCD of 186, 260, 53, 893
• GCD of 693, 123, 78, 935

1. What is the GCD of 259, 686, 84, 472?

GCD of 259, 686, 84, 472 is 1

2. Where do I get the detailed procedure to find GCD of 259, 686, 84, 472?

You can find a detailed procedure to find GCD of 259, 686, 84, 472 on our page.

3. How to find GCD of 259, 686, 84, 472 on a calculator?

You can find the GCD of 259, 686, 84, 472 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.