GCD of 716, 816, 698, 568 Calculator

Given Input numbers are 716, 816, 698, 568

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

Divisors of 716

List of positive integer divisors of 716 that divides 716 without a remainder.

1, 2, 4, 179, 358, 716

Divisors of 816

List of positive integer divisors of 816 that divides 816 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 17, 24, 34, 48, 51, 68, 102, 136, 204, 272, 408, 816

Divisors of 698

List of positive integer divisors of 698 that divides 698 without a remainder.

1, 2, 349, 698

Divisors of 568

List of positive integer divisors of 568 that divides 568 without a remainder.

1, 2, 4, 8, 71, 142, 284, 568

Greatest Common Divisior

We found the divisors of 716, 816, 698, 568 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 716, 816, 698, 568 is 2.

Therefore, GCD of numbers 716, 816, 698, 568 is 2

Given Input Data is 716, 816, 698, 568

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

Prime Factorization of 716 is 2 x 2 x 179

Prime Factorization of 816 is 2 x 2 x 2 x 2 x 3 x 17

Prime Factorization of 698 is 2 x 349

Prime Factorization of 568 is 2 x 2 x 2 x 71

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(716, 816) = 146064

GCD(716, 816) = ( 716 x 816 ) / 146064

GCD(716, 816) = 584256 / 146064

GCD(716, 816) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 698

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

LCM(4, 698) = 1396

GCD(4, 698) = ( 4 x 698 ) / 1396

GCD(4, 698) = 2792 / 1396

GCD(4, 698) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 568

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

LCM(2, 568) = 568

GCD(2, 568) = ( 2 x 568 ) / 568

GCD(2, 568) = 1136 / 568

GCD(2, 568) = 2

GCD of 716, 816, 698, 568 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 142, 916, 200, 770
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• GCD of 181, 712, 977, 347

1. What is the GCD of 716, 816, 698, 568?

GCD of 716, 816, 698, 568 is 2

2. Where do I get the detailed procedure to find GCD of 716, 816, 698, 568?

You can find a detailed procedure to find GCD of 716, 816, 698, 568 on our page.

3. How to find GCD of 716, 816, 698, 568 on a calculator?

You can find the GCD of 716, 816, 698, 568 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.