GCD of 471, 854, 209, 728 Calculator

Given Input numbers are 471, 854, 209, 728

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

Divisors of 471

List of positive integer divisors of 471 that divides 471 without a remainder.

1, 3, 157, 471

Divisors of 854

List of positive integer divisors of 854 that divides 854 without a remainder.

1, 2, 7, 14, 61, 122, 427, 854

Divisors of 209

List of positive integer divisors of 209 that divides 209 without a remainder.

1, 11, 19, 209

Divisors of 728

List of positive integer divisors of 728 that divides 728 without a remainder.

1, 2, 4, 7, 8, 13, 14, 26, 28, 52, 56, 91, 104, 182, 364, 728

Greatest Common Divisior

We found the divisors of 471, 854, 209, 728 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 471, 854, 209, 728 is 1.

Therefore, GCD of numbers 471, 854, 209, 728 is 1

Given Input Data is 471, 854, 209, 728

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

Prime Factorization of 471 is 3 x 157

Prime Factorization of 854 is 2 x 7 x 61

Prime Factorization of 209 is 11 x 19

Prime Factorization of 728 is 2 x 2 x 2 x 7 x 13

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(471, 854) = 402234

GCD(471, 854) = ( 471 x 854 ) / 402234

GCD(471, 854) = 402234 / 402234

GCD(471, 854) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 209

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

LCM(1, 209) = 209

GCD(1, 209) = ( 1 x 209 ) / 209

GCD(1, 209) = 209 / 209

GCD(1, 209) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 728

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

LCM(1, 728) = 728

GCD(1, 728) = ( 1 x 728 ) / 728

GCD(1, 728) = 728 / 728

GCD(1, 728) = 1

GCD of 471, 854, 209, 728 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 263, 430, 236, 367
• GCD of 462, 637, 220, 688
• GCD of 621, 860, 119, 154
• GCD of 210, 179, 138, 391
• GCD of 377, 202, 281, 703

1. What is the GCD of 471, 854, 209, 728?

GCD of 471, 854, 209, 728 is 1

2. Where do I get the detailed procedure to find GCD of 471, 854, 209, 728?

You can find a detailed procedure to find GCD of 471, 854, 209, 728 on our page.

3. How to find GCD of 471, 854, 209, 728 on a calculator?

You can find the GCD of 471, 854, 209, 728 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.