GCD of 490, 284, 45, 207 Calculator

Given Input numbers are 490, 284, 45, 207

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 284

List of positive integer divisors of 284 that divides 284 without a remainder.

1, 2, 4, 71, 142, 284

Divisors of 45

List of positive integer divisors of 45 that divides 45 without a remainder.

1, 3, 5, 9, 15, 45

Divisors of 207

List of positive integer divisors of 207 that divides 207 without a remainder.

1, 3, 9, 23, 69, 207

Greatest Common Divisior

We found the divisors of 490, 284, 45, 207 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 490, 284, 45, 207 is 1.

Therefore, GCD of numbers 490, 284, 45, 207 is 1

Given Input Data is 490, 284, 45, 207

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 284 is 2 x 2 x 71

Prime Factorization of 45 is 3 x 3 x 5

Prime Factorization of 207 is 3 x 3 x 23

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, 284) = 69580

GCD(490, 284) = ( 490 x 284 ) / 69580

GCD(490, 284) = 139160 / 69580

GCD(490, 284) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 45

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

LCM(2, 45) = 90

GCD(2, 45) = ( 2 x 45 ) / 90

GCD(2, 45) = 90 / 90

GCD(2, 45) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 207

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

LCM(1, 207) = 207

GCD(1, 207) = ( 1 x 207 ) / 207

GCD(1, 207) = 207 / 207

GCD(1, 207) = 1

GCD of 490, 284, 45, 207 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 556, 531, 90, 822
• GCD of 848, 249, 37, 557
• GCD of 362, 290, 52, 719
• GCD of 115, 147, 96, 539
• GCD of 615, 304, 30, 928

1. What is the GCD of 490, 284, 45, 207?

GCD of 490, 284, 45, 207 is 1

2. Where do I get the detailed procedure to find GCD of 490, 284, 45, 207?

You can find a detailed procedure to find GCD of 490, 284, 45, 207 on our page.

3. How to find GCD of 490, 284, 45, 207 on a calculator?

You can find the GCD of 490, 284, 45, 207 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.