GCD of 471, 755, 784, 686 Calculator

Given Input numbers are 471, 755, 784, 686

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 755

List of positive integer divisors of 755 that divides 755 without a remainder.

1, 5, 151, 755

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 686

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

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

Greatest Common Divisior

We found the divisors of 471, 755, 784, 686 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 471, 755, 784, 686 is 1.

Therefore, GCD of numbers 471, 755, 784, 686 is 1

Given Input Data is 471, 755, 784, 686

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

Prime Factorization of 471 is 3 x 157

Prime Factorization of 755 is 5 x 151

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

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

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, 755) = 355605

GCD(471, 755) = ( 471 x 755 ) / 355605

GCD(471, 755) = 355605 / 355605

GCD(471, 755) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 784

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

LCM(1, 784) = 784

GCD(1, 784) = ( 1 x 784 ) / 784

GCD(1, 784) = 784 / 784

GCD(1, 784) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 686

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

LCM(1, 686) = 686

GCD(1, 686) = ( 1 x 686 ) / 686

GCD(1, 686) = 686 / 686

GCD(1, 686) = 1

GCD of 471, 755, 784, 686 is 1

Here are some samples of GCD of Numbers calculations.

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1. What is the GCD of 471, 755, 784, 686?

GCD of 471, 755, 784, 686 is 1

2. Where do I get the detailed procedure to find GCD of 471, 755, 784, 686?

You can find a detailed procedure to find GCD of 471, 755, 784, 686 on our page.

3. How to find GCD of 471, 755, 784, 686 on a calculator?

You can find the GCD of 471, 755, 784, 686 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.