GCD of 784, 609, 86, 471 Calculator

Given Input numbers are 784, 609, 86, 471

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

Divisors of 784

List of positive integer divisors of 784 that divides 784 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 49, 56, 98, 112, 196, 392, 784

Divisors of 609

List of positive integer divisors of 609 that divides 609 without a remainder.

1, 3, 7, 21, 29, 87, 203, 609

Divisors of 86

List of positive integer divisors of 86 that divides 86 without a remainder.

1, 2, 43, 86

Divisors of 471

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

1, 3, 157, 471

Greatest Common Divisior

We found the divisors of 784, 609, 86, 471 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 784, 609, 86, 471 is 1.

Therefore, GCD of numbers 784, 609, 86, 471 is 1

Given Input Data is 784, 609, 86, 471

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

Prime Factorization of 784 is 2 x 2 x 2 x 2 x 7 x 7

Prime Factorization of 609 is 3 x 7 x 29

Prime Factorization of 86 is 2 x 43

Prime Factorization of 471 is 3 x 157

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(784, 609) = 68208

GCD(784, 609) = ( 784 x 609 ) / 68208

GCD(784, 609) = 477456 / 68208

GCD(784, 609) = 7

Step2:

Here we consider the GCD from the above i.e. 7 as first number and the next as 86

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

LCM(7, 86) = 602

GCD(7, 86) = ( 7 x 86 ) / 602

GCD(7, 86) = 602 / 602

GCD(7, 86) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 471

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

LCM(1, 471) = 471

GCD(1, 471) = ( 1 x 471 ) / 471

GCD(1, 471) = 471 / 471

GCD(1, 471) = 1

GCD of 784, 609, 86, 471 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 428, 888, 12, 602
• GCD of 334, 105, 35, 540
• GCD of 521, 751, 16, 839
• GCD of 139, 560, 98, 911
• GCD of 215, 603, 69, 479

1. What is the GCD of 784, 609, 86, 471?

GCD of 784, 609, 86, 471 is 1

2. Where do I get the detailed procedure to find GCD of 784, 609, 86, 471?

You can find a detailed procedure to find GCD of 784, 609, 86, 471 on our page.

3. How to find GCD of 784, 609, 86, 471 on a calculator?

You can find the GCD of 784, 609, 86, 471 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.