GCD of 490, 712, 667, 198 Calculator

Given Input numbers are 490, 712, 667, 198

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 712

List of positive integer divisors of 712 that divides 712 without a remainder.

1, 2, 4, 8, 89, 178, 356, 712

Divisors of 667

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

1, 23, 29, 667

Divisors of 198

List of positive integer divisors of 198 that divides 198 without a remainder.

1, 2, 3, 6, 9, 11, 18, 22, 33, 66, 99, 198

Greatest Common Divisior

We found the divisors of 490, 712, 667, 198 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 490, 712, 667, 198 is 1.

Therefore, GCD of numbers 490, 712, 667, 198 is 1

Given Input Data is 490, 712, 667, 198

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 712 is 2 x 2 x 2 x 89

Prime Factorization of 667 is 23 x 29

Prime Factorization of 198 is 2 x 3 x 3 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(490, 712) = 174440

GCD(490, 712) = ( 490 x 712 ) / 174440

GCD(490, 712) = 348880 / 174440

GCD(490, 712) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 667

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

LCM(2, 667) = 1334

GCD(2, 667) = ( 2 x 667 ) / 1334

GCD(2, 667) = 1334 / 1334

GCD(2, 667) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 198

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

LCM(1, 198) = 198

GCD(1, 198) = ( 1 x 198 ) / 198

GCD(1, 198) = 198 / 198

GCD(1, 198) = 1

GCD of 490, 712, 667, 198 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 385, 680, 537, 622
• GCD of 507, 447, 585, 114
• GCD of 159, 609, 445, 404
• GCD of 781, 388, 522, 261
• GCD of 226, 523, 129, 653

1. What is the GCD of 490, 712, 667, 198?

GCD of 490, 712, 667, 198 is 1

2. Where do I get the detailed procedure to find GCD of 490, 712, 667, 198?

You can find a detailed procedure to find GCD of 490, 712, 667, 198 on our page.

3. How to find GCD of 490, 712, 667, 198 on a calculator?

You can find the GCD of 490, 712, 667, 198 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.