GCD of 417, 741, 471, 686 Calculator

Given Input numbers are 417, 741, 471, 686

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

Divisors of 417

List of positive integer divisors of 417 that divides 417 without a remainder.

1, 3, 139, 417

Divisors of 741

List of positive integer divisors of 741 that divides 741 without a remainder.

1, 3, 13, 19, 39, 57, 247, 741

Divisors of 471

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

1, 3, 157, 471

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 417, 741, 471, 686 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 417, 741, 471, 686 is 1.

Therefore, GCD of numbers 417, 741, 471, 686 is 1

Given Input Data is 417, 741, 471, 686

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

Prime Factorization of 417 is 3 x 139

Prime Factorization of 741 is 3 x 13 x 19

Prime Factorization of 471 is 3 x 157

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(417, 741) = 102999

GCD(417, 741) = ( 417 x 741 ) / 102999

GCD(417, 741) = 308997 / 102999

GCD(417, 741) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 471

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

LCM(3, 471) = 471

GCD(3, 471) = ( 3 x 471 ) / 471

GCD(3, 471) = 1413 / 471

GCD(3, 471) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 686

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

LCM(3, 686) = 2058

GCD(3, 686) = ( 3 x 686 ) / 2058

GCD(3, 686) = 2058 / 2058

GCD(3, 686) = 1

GCD of 417, 741, 471, 686 is 1

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1. What is the GCD of 417, 741, 471, 686?

GCD of 417, 741, 471, 686 is 1

2. Where do I get the detailed procedure to find GCD of 417, 741, 471, 686?

You can find a detailed procedure to find GCD of 417, 741, 471, 686 on our page.

3. How to find GCD of 417, 741, 471, 686 on a calculator?

You can find the GCD of 417, 741, 471, 686 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.