GCD of 834, 498, 19, 660 Calculator

Given Input numbers are 834, 498, 19, 660

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

Divisors of 834

List of positive integer divisors of 834 that divides 834 without a remainder.

1, 2, 3, 6, 139, 278, 417, 834

Divisors of 498

List of positive integer divisors of 498 that divides 498 without a remainder.

1, 2, 3, 6, 83, 166, 249, 498

Divisors of 19

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

1, 19

Divisors of 660

List of positive integer divisors of 660 that divides 660 without a remainder.

1, 2, 3, 4, 5, 6, 10, 11, 12, 15, 20, 22, 30, 33, 44, 55, 60, 66, 110, 132, 165, 220, 330, 660

Greatest Common Divisior

We found the divisors of 834, 498, 19, 660 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 834, 498, 19, 660 is 1.

Therefore, GCD of numbers 834, 498, 19, 660 is 1

Given Input Data is 834, 498, 19, 660

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

Prime Factorization of 834 is 2 x 3 x 139

Prime Factorization of 498 is 2 x 3 x 83

Prime Factorization of 19 is 19

Prime Factorization of 660 is 2 x 2 x 3 x 5 x 11

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(834, 498) = 69222

GCD(834, 498) = ( 834 x 498 ) / 69222

GCD(834, 498) = 415332 / 69222

GCD(834, 498) = 6

Step2:

Here we consider the GCD from the above i.e. 6 as first number and the next as 19

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

LCM(6, 19) = 114

GCD(6, 19) = ( 6 x 19 ) / 114

GCD(6, 19) = 114 / 114

GCD(6, 19) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 660

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

LCM(1, 660) = 660

GCD(1, 660) = ( 1 x 660 ) / 660

GCD(1, 660) = 660 / 660

GCD(1, 660) = 1

GCD of 834, 498, 19, 660 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 593, 521, 28, 257
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• GCD of 300, 847, 37, 950

1. What is the GCD of 834, 498, 19, 660?

GCD of 834, 498, 19, 660 is 1

2. Where do I get the detailed procedure to find GCD of 834, 498, 19, 660?

You can find a detailed procedure to find GCD of 834, 498, 19, 660 on our page.

3. How to find GCD of 834, 498, 19, 660 on a calculator?

You can find the GCD of 834, 498, 19, 660 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.