GCD of 463, 578, 796, 208 Calculator

Given Input numbers are 463, 578, 796, 208

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

Divisors of 463

List of positive integer divisors of 463 that divides 463 without a remainder.

1, 463

Divisors of 578

List of positive integer divisors of 578 that divides 578 without a remainder.

1, 2, 17, 34, 289, 578

Divisors of 796

List of positive integer divisors of 796 that divides 796 without a remainder.

1, 2, 4, 199, 398, 796

Divisors of 208

List of positive integer divisors of 208 that divides 208 without a remainder.

1, 2, 4, 8, 13, 16, 26, 52, 104, 208

Greatest Common Divisior

We found the divisors of 463, 578, 796, 208 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 463, 578, 796, 208 is 1.

Therefore, GCD of numbers 463, 578, 796, 208 is 1

Given Input Data is 463, 578, 796, 208

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

Prime Factorization of 463 is 463

Prime Factorization of 578 is 2 x 17 x 17

Prime Factorization of 796 is 2 x 2 x 199

Prime Factorization of 208 is 2 x 2 x 2 x 2 x 13

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(463, 578) = 267614

GCD(463, 578) = ( 463 x 578 ) / 267614

GCD(463, 578) = 267614 / 267614

GCD(463, 578) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 796

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

LCM(1, 796) = 796

GCD(1, 796) = ( 1 x 796 ) / 796

GCD(1, 796) = 796 / 796

GCD(1, 796) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 208

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

LCM(1, 208) = 208

GCD(1, 208) = ( 1 x 208 ) / 208

GCD(1, 208) = 208 / 208

GCD(1, 208) = 1

GCD of 463, 578, 796, 208 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 853, 268, 779, 681
• GCD of 862, 986, 405, 474
• GCD of 492, 565, 455, 260
• GCD of 740, 131, 844, 221
• GCD of 778, 419, 801, 965

1. What is the GCD of 463, 578, 796, 208?

GCD of 463, 578, 796, 208 is 1

2. Where do I get the detailed procedure to find GCD of 463, 578, 796, 208?

You can find a detailed procedure to find GCD of 463, 578, 796, 208 on our page.

3. How to find GCD of 463, 578, 796, 208 on a calculator?

You can find the GCD of 463, 578, 796, 208 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.