GCD of 556, 678, 838, 109 Calculator

Given Input numbers are 556, 678, 838, 109

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

Divisors of 556

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

1, 2, 4, 139, 278, 556

Divisors of 678

List of positive integer divisors of 678 that divides 678 without a remainder.

1, 2, 3, 6, 113, 226, 339, 678

Divisors of 838

List of positive integer divisors of 838 that divides 838 without a remainder.

1, 2, 419, 838

Divisors of 109

List of positive integer divisors of 109 that divides 109 without a remainder.

1, 109

Greatest Common Divisior

We found the divisors of 556, 678, 838, 109 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 556, 678, 838, 109 is 1.

Therefore, GCD of numbers 556, 678, 838, 109 is 1

Given Input Data is 556, 678, 838, 109

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

Prime Factorization of 556 is 2 x 2 x 139

Prime Factorization of 678 is 2 x 3 x 113

Prime Factorization of 838 is 2 x 419

Prime Factorization of 109 is 109

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(556, 678) = 188484

GCD(556, 678) = ( 556 x 678 ) / 188484

GCD(556, 678) = 376968 / 188484

GCD(556, 678) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 838

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

LCM(2, 838) = 838

GCD(2, 838) = ( 2 x 838 ) / 838

GCD(2, 838) = 1676 / 838

GCD(2, 838) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 109

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

LCM(2, 109) = 218

GCD(2, 109) = ( 2 x 109 ) / 218

GCD(2, 109) = 218 / 218

GCD(2, 109) = 1

GCD of 556, 678, 838, 109 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 148, 530, 401, 456
• GCD of 830, 482, 579, 652
• GCD of 291, 173, 693, 378
• GCD of 435, 341, 616, 341
• GCD of 344, 489, 573, 277

1. What is the GCD of 556, 678, 838, 109?

GCD of 556, 678, 838, 109 is 1

2. Where do I get the detailed procedure to find GCD of 556, 678, 838, 109?

You can find a detailed procedure to find GCD of 556, 678, 838, 109 on our page.

3. How to find GCD of 556, 678, 838, 109 on a calculator?

You can find the GCD of 556, 678, 838, 109 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.