GCD of 616, 566, 58, 706 Calculator

Given Input numbers are 616, 566, 58, 706

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

Divisors of 616

List of positive integer divisors of 616 that divides 616 without a remainder.

1, 2, 4, 7, 8, 11, 14, 22, 28, 44, 56, 77, 88, 154, 308, 616

Divisors of 566

List of positive integer divisors of 566 that divides 566 without a remainder.

1, 2, 283, 566

Divisors of 58

List of positive integer divisors of 58 that divides 58 without a remainder.

1, 2, 29, 58

Divisors of 706

List of positive integer divisors of 706 that divides 706 without a remainder.

1, 2, 353, 706

Greatest Common Divisior

We found the divisors of 616, 566, 58, 706 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 616, 566, 58, 706 is 2.

Therefore, GCD of numbers 616, 566, 58, 706 is 2

Given Input Data is 616, 566, 58, 706

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

Prime Factorization of 616 is 2 x 2 x 2 x 7 x 11

Prime Factorization of 566 is 2 x 283

Prime Factorization of 58 is 2 x 29

Prime Factorization of 706 is 2 x 353

Highest common occurrences in the given inputs are 2¹

Multiplying them we get the GCD as 2

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(616, 566) = 174328

GCD(616, 566) = ( 616 x 566 ) / 174328

GCD(616, 566) = 348656 / 174328

GCD(616, 566) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 58

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

LCM(2, 58) = 58

GCD(2, 58) = ( 2 x 58 ) / 58

GCD(2, 58) = 116 / 58

GCD(2, 58) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 706

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

LCM(2, 706) = 706

GCD(2, 706) = ( 2 x 706 ) / 706

GCD(2, 706) = 1412 / 706

GCD(2, 706) = 2

GCD of 616, 566, 58, 706 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 531, 468, 91, 887
• GCD of 334, 500, 58, 426
• GCD of 302, 228, 92, 273
• GCD of 184, 327, 75, 621
• GCD of 982, 825, 17, 282

1. What is the GCD of 616, 566, 58, 706?

GCD of 616, 566, 58, 706 is 2

2. Where do I get the detailed procedure to find GCD of 616, 566, 58, 706?

You can find a detailed procedure to find GCD of 616, 566, 58, 706 on our page.

3. How to find GCD of 616, 566, 58, 706 on a calculator?

You can find the GCD of 616, 566, 58, 706 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.