GCD of 409, 780, 862, 682 Calculator

Given Input numbers are 409, 780, 862, 682

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

Divisors of 409

List of positive integer divisors of 409 that divides 409 without a remainder.

1, 409

Divisors of 780

List of positive integer divisors of 780 that divides 780 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 13, 15, 20, 26, 30, 39, 52, 60, 65, 78, 130, 156, 195, 260, 390, 780

Divisors of 862

List of positive integer divisors of 862 that divides 862 without a remainder.

1, 2, 431, 862

Divisors of 682

List of positive integer divisors of 682 that divides 682 without a remainder.

1, 2, 11, 22, 31, 62, 341, 682

Greatest Common Divisior

We found the divisors of 409, 780, 862, 682 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 409, 780, 862, 682 is 1.

Therefore, GCD of numbers 409, 780, 862, 682 is 1

Given Input Data is 409, 780, 862, 682

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

Prime Factorization of 409 is 409

Prime Factorization of 780 is 2 x 2 x 3 x 5 x 13

Prime Factorization of 862 is 2 x 431

Prime Factorization of 682 is 2 x 11 x 31

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(409, 780) = 319020

GCD(409, 780) = ( 409 x 780 ) / 319020

GCD(409, 780) = 319020 / 319020

GCD(409, 780) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 862

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

LCM(1, 862) = 862

GCD(1, 862) = ( 1 x 862 ) / 862

GCD(1, 862) = 862 / 862

GCD(1, 862) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 682

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

LCM(1, 682) = 682

GCD(1, 682) = ( 1 x 682 ) / 682

GCD(1, 682) = 682 / 682

GCD(1, 682) = 1

GCD of 409, 780, 862, 682 is 1

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1. What is the GCD of 409, 780, 862, 682?

GCD of 409, 780, 862, 682 is 1

2. Where do I get the detailed procedure to find GCD of 409, 780, 862, 682?

You can find a detailed procedure to find GCD of 409, 780, 862, 682 on our page.

3. How to find GCD of 409, 780, 862, 682 on a calculator?

You can find the GCD of 409, 780, 862, 682 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.