GCD of 512, 344, 767, 490 Calculator

Given Input numbers are 512, 344, 767, 490

To find the GCD of numbers using factoring list out all the divisors of each number

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 344

List of positive integer divisors of 344 that divides 344 without a remainder.

1, 2, 4, 8, 43, 86, 172, 344

Divisors of 767

List of positive integer divisors of 767 that divides 767 without a remainder.

1, 13, 59, 767

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

Greatest Common Divisior

We found the divisors of 512, 344, 767, 490 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 512, 344, 767, 490 is 1.

Therefore, GCD of numbers 512, 344, 767, 490 is 1

Given Input Data is 512, 344, 767, 490

Make a list of Prime Factors of all the given numbers initially

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 344 is 2 x 2 x 2 x 43

Prime Factorization of 767 is 13 x 59

Prime Factorization of 490 is 2 x 5 x 7 x 7

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(512, 344) = 22016

GCD(512, 344) = ( 512 x 344 ) / 22016

GCD(512, 344) = 176128 / 22016

GCD(512, 344) = 8

Step2:

Here we consider the GCD from the above i.e. 8 as first number and the next as 767

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

LCM(8, 767) = 6136

GCD(8, 767) = ( 8 x 767 ) / 6136

GCD(8, 767) = 6136 / 6136

GCD(8, 767) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 490

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

LCM(1, 490) = 490

GCD(1, 490) = ( 1 x 490 ) / 490

GCD(1, 490) = 490 / 490

GCD(1, 490) = 1

GCD of 512, 344, 767, 490 is 1

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• GCD of 585, 675, 219, 486
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• GCD of 702, 213, 678, 355

1. What is the GCD of 512, 344, 767, 490?

GCD of 512, 344, 767, 490 is 1

2. Where do I get the detailed procedure to find GCD of 512, 344, 767, 490?

You can find a detailed procedure to find GCD of 512, 344, 767, 490 on our page.

3. How to find GCD of 512, 344, 767, 490 on a calculator?

You can find the GCD of 512, 344, 767, 490 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.