GCD of 490, 667, 506, 238 Calculator

Given Input numbers are 490, 667, 506, 238

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 667

List of positive integer divisors of 667 that divides 667 without a remainder.

1, 23, 29, 667

Divisors of 506

List of positive integer divisors of 506 that divides 506 without a remainder.

1, 2, 11, 22, 23, 46, 253, 506

Divisors of 238

List of positive integer divisors of 238 that divides 238 without a remainder.

1, 2, 7, 14, 17, 34, 119, 238

Greatest Common Divisior

We found the divisors of 490, 667, 506, 238 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 490, 667, 506, 238 is 1.

Therefore, GCD of numbers 490, 667, 506, 238 is 1

Given Input Data is 490, 667, 506, 238

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 667 is 23 x 29

Prime Factorization of 506 is 2 x 11 x 23

Prime Factorization of 238 is 2 x 7 x 17

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, 667) = 326830

GCD(490, 667) = ( 490 x 667 ) / 326830

GCD(490, 667) = 326830 / 326830

GCD(490, 667) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 506

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

LCM(1, 506) = 506

GCD(1, 506) = ( 1 x 506 ) / 506

GCD(1, 506) = 506 / 506

GCD(1, 506) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 238

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

LCM(1, 238) = 238

GCD(1, 238) = ( 1 x 238 ) / 238

GCD(1, 238) = 238 / 238

GCD(1, 238) = 1

GCD of 490, 667, 506, 238 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 825, 582, 448, 979
• GCD of 725, 490, 307, 198
• GCD of 282, 165, 778, 931
• GCD of 774, 652, 221, 133
• GCD of 991, 719, 275, 345

1. What is the GCD of 490, 667, 506, 238?

GCD of 490, 667, 506, 238 is 1

2. Where do I get the detailed procedure to find GCD of 490, 667, 506, 238?

You can find a detailed procedure to find GCD of 490, 667, 506, 238 on our page.

3. How to find GCD of 490, 667, 506, 238 on a calculator?

You can find the GCD of 490, 667, 506, 238 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.