GCD of 460, 685, 494, 679 Calculator

Given Input numbers are 460, 685, 494, 679

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

Divisors of 460

List of positive integer divisors of 460 that divides 460 without a remainder.

1, 2, 4, 5, 10, 20, 23, 46, 92, 115, 230, 460

Divisors of 685

List of positive integer divisors of 685 that divides 685 without a remainder.

1, 5, 137, 685

Divisors of 494

List of positive integer divisors of 494 that divides 494 without a remainder.

1, 2, 13, 19, 26, 38, 247, 494

Divisors of 679

List of positive integer divisors of 679 that divides 679 without a remainder.

1, 7, 97, 679

Greatest Common Divisior

We found the divisors of 460, 685, 494, 679 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 460, 685, 494, 679 is 1.

Therefore, GCD of numbers 460, 685, 494, 679 is 1

Given Input Data is 460, 685, 494, 679

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

Prime Factorization of 460 is 2 x 2 x 5 x 23

Prime Factorization of 685 is 5 x 137

Prime Factorization of 494 is 2 x 13 x 19

Prime Factorization of 679 is 7 x 97

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(460, 685) = 63020

GCD(460, 685) = ( 460 x 685 ) / 63020

GCD(460, 685) = 315100 / 63020

GCD(460, 685) = 5

Step2:

Here we consider the GCD from the above i.e. 5 as first number and the next as 494

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

LCM(5, 494) = 2470

GCD(5, 494) = ( 5 x 494 ) / 2470

GCD(5, 494) = 2470 / 2470

GCD(5, 494) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 679

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

LCM(1, 679) = 679

GCD(1, 679) = ( 1 x 679 ) / 679

GCD(1, 679) = 679 / 679

GCD(1, 679) = 1

GCD of 460, 685, 494, 679 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 982, 740, 335, 332
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• GCD of 535, 992, 965, 879

1. What is the GCD of 460, 685, 494, 679?

GCD of 460, 685, 494, 679 is 1

2. Where do I get the detailed procedure to find GCD of 460, 685, 494, 679?

You can find a detailed procedure to find GCD of 460, 685, 494, 679 on our page.

3. How to find GCD of 460, 685, 494, 679 on a calculator?

You can find the GCD of 460, 685, 494, 679 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.