GCD of 682, 662, 19, 840 Calculator

Given Input numbers are 682, 662, 19, 840

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

Divisors of 682

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

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

Divisors of 662

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

1, 2, 331, 662

Divisors of 19

List of positive integer divisors of 19 that divides 19 without a remainder.

1, 19

Divisors of 840

List of positive integer divisors of 840 that divides 840 without a remainder.

1, 2, 3, 4, 5, 6, 7, 8, 10, 12, 14, 15, 20, 21, 24, 28, 30, 35, 40, 42, 56, 60, 70, 84, 105, 120, 140, 168, 210, 280, 420, 840

Greatest Common Divisior

We found the divisors of 682, 662, 19, 840 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 682, 662, 19, 840 is 1.

Therefore, GCD of numbers 682, 662, 19, 840 is 1

Given Input Data is 682, 662, 19, 840

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

Prime Factorization of 682 is 2 x 11 x 31

Prime Factorization of 662 is 2 x 331

Prime Factorization of 19 is 19

Prime Factorization of 840 is 2 x 2 x 2 x 3 x 5 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(682, 662) = 225742

GCD(682, 662) = ( 682 x 662 ) / 225742

GCD(682, 662) = 451484 / 225742

GCD(682, 662) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 19

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

LCM(2, 19) = 38

GCD(2, 19) = ( 2 x 19 ) / 38

GCD(2, 19) = 38 / 38

GCD(2, 19) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 840

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

LCM(1, 840) = 840

GCD(1, 840) = ( 1 x 840 ) / 840

GCD(1, 840) = 840 / 840

GCD(1, 840) = 1

GCD of 682, 662, 19, 840 is 1

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1. What is the GCD of 682, 662, 19, 840?

GCD of 682, 662, 19, 840 is 1

2. Where do I get the detailed procedure to find GCD of 682, 662, 19, 840?

You can find a detailed procedure to find GCD of 682, 662, 19, 840 on our page.

3. How to find GCD of 682, 662, 19, 840 on a calculator?

You can find the GCD of 682, 662, 19, 840 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.