GCD of 704, 511, 920, 490 Calculator

Given Input numbers are 704, 511, 920, 490

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

Divisors of 704

List of positive integer divisors of 704 that divides 704 without a remainder.

1, 2, 4, 8, 11, 16, 22, 32, 44, 64, 88, 176, 352, 704

Divisors of 511

List of positive integer divisors of 511 that divides 511 without a remainder.

1, 7, 73, 511

Divisors of 920

List of positive integer divisors of 920 that divides 920 without a remainder.

1, 2, 4, 5, 8, 10, 20, 23, 40, 46, 92, 115, 184, 230, 460, 920

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 704, 511, 920, 490 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 704, 511, 920, 490 is 1.

Therefore, GCD of numbers 704, 511, 920, 490 is 1

Given Input Data is 704, 511, 920, 490

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

Prime Factorization of 704 is 2 x 2 x 2 x 2 x 2 x 2 x 11

Prime Factorization of 511 is 7 x 73

Prime Factorization of 920 is 2 x 2 x 2 x 5 x 23

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(704, 511) = 359744

GCD(704, 511) = ( 704 x 511 ) / 359744

GCD(704, 511) = 359744 / 359744

GCD(704, 511) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 920

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

LCM(1, 920) = 920

GCD(1, 920) = ( 1 x 920 ) / 920

GCD(1, 920) = 920 / 920

GCD(1, 920) = 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 704, 511, 920, 490 is 1

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1. What is the GCD of 704, 511, 920, 490?

GCD of 704, 511, 920, 490 is 1

2. Where do I get the detailed procedure to find GCD of 704, 511, 920, 490?

You can find a detailed procedure to find GCD of 704, 511, 920, 490 on our page.

3. How to find GCD of 704, 511, 920, 490 on a calculator?

You can find the GCD of 704, 511, 920, 490 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.