GCD of 490, 512, 852, 301 Calculator

Given Input numbers are 490, 512, 852, 301

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 512

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

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

Divisors of 852

List of positive integer divisors of 852 that divides 852 without a remainder.

1, 2, 3, 4, 6, 12, 71, 142, 213, 284, 426, 852

Divisors of 301

List of positive integer divisors of 301 that divides 301 without a remainder.

1, 7, 43, 301

Greatest Common Divisior

We found the divisors of 490, 512, 852, 301 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 490, 512, 852, 301 is 1.

Therefore, GCD of numbers 490, 512, 852, 301 is 1

Given Input Data is 490, 512, 852, 301

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 512 is 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2

Prime Factorization of 852 is 2 x 2 x 3 x 71

Prime Factorization of 301 is 7 x 43

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, 512) = 125440

GCD(490, 512) = ( 490 x 512 ) / 125440

GCD(490, 512) = 250880 / 125440

GCD(490, 512) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 852

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

LCM(2, 852) = 852

GCD(2, 852) = ( 2 x 852 ) / 852

GCD(2, 852) = 1704 / 852

GCD(2, 852) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 301

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

LCM(2, 301) = 602

GCD(2, 301) = ( 2 x 301 ) / 602

GCD(2, 301) = 602 / 602

GCD(2, 301) = 1

GCD of 490, 512, 852, 301 is 1

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1. What is the GCD of 490, 512, 852, 301?

GCD of 490, 512, 852, 301 is 1

2. Where do I get the detailed procedure to find GCD of 490, 512, 852, 301?

You can find a detailed procedure to find GCD of 490, 512, 852, 301 on our page.

3. How to find GCD of 490, 512, 852, 301 on a calculator?

You can find the GCD of 490, 512, 852, 301 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.