GCD of 490, 682, 33, 406 Calculator

Given Input numbers are 490, 682, 33, 406

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

Divisors of 490

List of positive integer divisors of 490 that divides 490 without a remainder.

1, 2, 5, 7, 10, 14, 35, 49, 70, 98, 245, 490

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 33

List of positive integer divisors of 33 that divides 33 without a remainder.

1, 3, 11, 33

Divisors of 406

List of positive integer divisors of 406 that divides 406 without a remainder.

1, 2, 7, 14, 29, 58, 203, 406

Greatest Common Divisior

We found the divisors of 490, 682, 33, 406 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 490, 682, 33, 406 is 1.

Therefore, GCD of numbers 490, 682, 33, 406 is 1

Given Input Data is 490, 682, 33, 406

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

Prime Factorization of 490 is 2 x 5 x 7 x 7

Prime Factorization of 682 is 2 x 11 x 31

Prime Factorization of 33 is 3 x 11

Prime Factorization of 406 is 2 x 7 x 29

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(490, 682) = 167090

GCD(490, 682) = ( 490 x 682 ) / 167090

GCD(490, 682) = 334180 / 167090

GCD(490, 682) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 33

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

LCM(2, 33) = 66

GCD(2, 33) = ( 2 x 33 ) / 66

GCD(2, 33) = 66 / 66

GCD(2, 33) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 406

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

LCM(1, 406) = 406

GCD(1, 406) = ( 1 x 406 ) / 406

GCD(1, 406) = 406 / 406

GCD(1, 406) = 1

GCD of 490, 682, 33, 406 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 111, 705, 24, 900
• GCD of 504, 150, 42, 414
• GCD of 693, 149, 98, 405
• GCD of 993, 824, 47, 898
• GCD of 602, 416, 95, 752

1. What is the GCD of 490, 682, 33, 406?

GCD of 490, 682, 33, 406 is 1

2. Where do I get the detailed procedure to find GCD of 490, 682, 33, 406?

You can find a detailed procedure to find GCD of 490, 682, 33, 406 on our page.

3. How to find GCD of 490, 682, 33, 406 on a calculator?

You can find the GCD of 490, 682, 33, 406 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.