GCD of 49, 796, 556, 208 Calculator

Given Input numbers are 49, 796, 556, 208

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

Divisors of 49

List of positive integer divisors of 49 that divides 49 without a remainder.

1, 7, 49

Divisors of 796

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

1, 2, 4, 199, 398, 796

Divisors of 556

List of positive integer divisors of 556 that divides 556 without a remainder.

1, 2, 4, 139, 278, 556

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 49, 796, 556, 208 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 49, 796, 556, 208 is 1.

Therefore, GCD of numbers 49, 796, 556, 208 is 1

Given Input Data is 49, 796, 556, 208

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

Prime Factorization of 49 is 7 x 7

Prime Factorization of 796 is 2 x 2 x 199

Prime Factorization of 556 is 2 x 2 x 139

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(49, 796) = 39004

GCD(49, 796) = ( 49 x 796 ) / 39004

GCD(49, 796) = 39004 / 39004

GCD(49, 796) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 556

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

LCM(1, 556) = 556

GCD(1, 556) = ( 1 x 556 ) / 556

GCD(1, 556) = 556 / 556

GCD(1, 556) = 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 49, 796, 556, 208 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 26, 834, 820, 530
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• GCD of 96, 637, 536, 767
• GCD of 18, 261, 137, 392
• GCD of 22, 344, 622, 997

1. What is the GCD of 49, 796, 556, 208?

GCD of 49, 796, 556, 208 is 1

2. Where do I get the detailed procedure to find GCD of 49, 796, 556, 208?

You can find a detailed procedure to find GCD of 49, 796, 556, 208 on our page.

3. How to find GCD of 49, 796, 556, 208 on a calculator?

You can find the GCD of 49, 796, 556, 208 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.