GCD of 414, 662, 685, 582 Calculator

Given Input numbers are 414, 662, 685, 582

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

Divisors of 414

List of positive integer divisors of 414 that divides 414 without a remainder.

1, 2, 3, 6, 9, 18, 23, 46, 69, 138, 207, 414

Divisors of 662

List of positive integer divisors of 662 that divides 662 without a remainder.

1, 2, 331, 662

Divisors of 685

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

1, 5, 137, 685

Divisors of 582

List of positive integer divisors of 582 that divides 582 without a remainder.

1, 2, 3, 6, 97, 194, 291, 582

Greatest Common Divisior

We found the divisors of 414, 662, 685, 582 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 414, 662, 685, 582 is 1.

Therefore, GCD of numbers 414, 662, 685, 582 is 1

Given Input Data is 414, 662, 685, 582

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

Prime Factorization of 414 is 2 x 3 x 3 x 23

Prime Factorization of 662 is 2 x 331

Prime Factorization of 685 is 5 x 137

Prime Factorization of 582 is 2 x 3 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(414, 662) = 137034

GCD(414, 662) = ( 414 x 662 ) / 137034

GCD(414, 662) = 274068 / 137034

GCD(414, 662) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 685

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

LCM(2, 685) = 1370

GCD(2, 685) = ( 2 x 685 ) / 1370

GCD(2, 685) = 1370 / 1370

GCD(2, 685) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 582

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

LCM(1, 582) = 582

GCD(1, 582) = ( 1 x 582 ) / 582

GCD(1, 582) = 582 / 582

GCD(1, 582) = 1

GCD of 414, 662, 685, 582 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 727, 934, 900, 392
• GCD of 792, 419, 913, 205
• GCD of 511, 833, 382, 519
• GCD of 802, 797, 731, 438
• GCD of 137, 580, 850, 395

1. What is the GCD of 414, 662, 685, 582?

GCD of 414, 662, 685, 582 is 1

2. Where do I get the detailed procedure to find GCD of 414, 662, 685, 582?

You can find a detailed procedure to find GCD of 414, 662, 685, 582 on our page.

3. How to find GCD of 414, 662, 685, 582 on a calculator?

You can find the GCD of 414, 662, 685, 582 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.