GCD of 490, 807, 49, 512 Calculator

Given Input numbers are 490, 807, 49, 512

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 807

List of positive integer divisors of 807 that divides 807 without a remainder.

1, 3, 269, 807

Divisors of 49

List of positive integer divisors of 49 that divides 49 without a remainder.

1, 7, 49

Divisors of 512

List of positive integer divisors of 512 that divides 512 without a remainder.

1, 2, 4, 8, 16, 32, 64, 128, 256, 512

Greatest Common Divisior

We found the divisors of 490, 807, 49, 512 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 490, 807, 49, 512 is 1.

Therefore, GCD of numbers 490, 807, 49, 512 is 1

Given Input Data is 490, 807, 49, 512

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 807 is 3 x 269

Prime Factorization of 49 is 7 x 7

Prime Factorization of 512 is 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2

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, 807) = 395430

GCD(490, 807) = ( 490 x 807 ) / 395430

GCD(490, 807) = 395430 / 395430

GCD(490, 807) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 49

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

LCM(1, 49) = 49

GCD(1, 49) = ( 1 x 49 ) / 49

GCD(1, 49) = 49 / 49

GCD(1, 49) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 512

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

LCM(1, 512) = 512

GCD(1, 512) = ( 1 x 512 ) / 512

GCD(1, 512) = 512 / 512

GCD(1, 512) = 1

GCD of 490, 807, 49, 512 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 471, 228, 14, 130
• GCD of 906, 399, 54, 319
• GCD of 170, 485, 38, 559
• GCD of 303, 949, 89, 301
• GCD of 694, 325, 35, 720

1. What is the GCD of 490, 807, 49, 512?

GCD of 490, 807, 49, 512 is 1

2. Where do I get the detailed procedure to find GCD of 490, 807, 49, 512?

You can find a detailed procedure to find GCD of 490, 807, 49, 512 on our page.

3. How to find GCD of 490, 807, 49, 512 on a calculator?

You can find the GCD of 490, 807, 49, 512 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.