GCD of 556, 105, 83, 986 Calculator

Given Input numbers are 556, 105, 83, 986

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 105

List of positive integer divisors of 105 that divides 105 without a remainder.

1, 3, 5, 7, 15, 21, 35, 105

Divisors of 83

List of positive integer divisors of 83 that divides 83 without a remainder.

1, 83

Divisors of 986

List of positive integer divisors of 986 that divides 986 without a remainder.

1, 2, 17, 29, 34, 58, 493, 986

Greatest Common Divisior

We found the divisors of 556, 105, 83, 986 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 556, 105, 83, 986 is 1.

Therefore, GCD of numbers 556, 105, 83, 986 is 1

Given Input Data is 556, 105, 83, 986

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 105 is 3 x 5 x 7

Prime Factorization of 83 is 83

Prime Factorization of 986 is 2 x 17 x 29

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, 105) = 58380

GCD(556, 105) = ( 556 x 105 ) / 58380

GCD(556, 105) = 58380 / 58380

GCD(556, 105) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 83

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

LCM(1, 83) = 83

GCD(1, 83) = ( 1 x 83 ) / 83

GCD(1, 83) = 83 / 83

GCD(1, 83) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 986

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

LCM(1, 986) = 986

GCD(1, 986) = ( 1 x 986 ) / 986

GCD(1, 986) = 986 / 986

GCD(1, 986) = 1

GCD of 556, 105, 83, 986 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 345, 680, 82, 525
• GCD of 420, 332, 17, 334
• GCD of 926, 977, 98, 198
• GCD of 305, 142, 91, 980
• GCD of 365, 556, 93, 604

1. What is the GCD of 556, 105, 83, 986?

GCD of 556, 105, 83, 986 is 1

2. Where do I get the detailed procedure to find GCD of 556, 105, 83, 986?

You can find a detailed procedure to find GCD of 556, 105, 83, 986 on our page.

3. How to find GCD of 556, 105, 83, 986 on a calculator?

You can find the GCD of 556, 105, 83, 986 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.