GCD of 515, 286, 20, 704 Calculator

Given Input numbers are 515, 286, 20, 704

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

Divisors of 515

List of positive integer divisors of 515 that divides 515 without a remainder.

1, 5, 103, 515

Divisors of 286

List of positive integer divisors of 286 that divides 286 without a remainder.

1, 2, 11, 13, 22, 26, 143, 286

Divisors of 20

List of positive integer divisors of 20 that divides 20 without a remainder.

1, 2, 4, 5, 10, 20

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

Greatest Common Divisior

We found the divisors of 515, 286, 20, 704 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 515, 286, 20, 704 is 1.

Therefore, GCD of numbers 515, 286, 20, 704 is 1

Given Input Data is 515, 286, 20, 704

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

Prime Factorization of 515 is 5 x 103

Prime Factorization of 286 is 2 x 11 x 13

Prime Factorization of 20 is 2 x 2 x 5

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

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(515, 286) = 147290

GCD(515, 286) = ( 515 x 286 ) / 147290

GCD(515, 286) = 147290 / 147290

GCD(515, 286) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 20

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

LCM(1, 20) = 20

GCD(1, 20) = ( 1 x 20 ) / 20

GCD(1, 20) = 20 / 20

GCD(1, 20) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 704

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

LCM(1, 704) = 704

GCD(1, 704) = ( 1 x 704 ) / 704

GCD(1, 704) = 704 / 704

GCD(1, 704) = 1

GCD of 515, 286, 20, 704 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 318, 218, 98, 589
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• GCD of 367, 614, 72, 506
• GCD of 994, 698, 40, 963

1. What is the GCD of 515, 286, 20, 704?

GCD of 515, 286, 20, 704 is 1

2. Where do I get the detailed procedure to find GCD of 515, 286, 20, 704?

You can find a detailed procedure to find GCD of 515, 286, 20, 704 on our page.

3. How to find GCD of 515, 286, 20, 704 on a calculator?

You can find the GCD of 515, 286, 20, 704 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.