GCD of 634, 314, 688, 568 Calculator

Given Input numbers are 634, 314, 688, 568

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

Divisors of 634

List of positive integer divisors of 634 that divides 634 without a remainder.

1, 2, 317, 634

Divisors of 314

List of positive integer divisors of 314 that divides 314 without a remainder.

1, 2, 157, 314

Divisors of 688

List of positive integer divisors of 688 that divides 688 without a remainder.

1, 2, 4, 8, 16, 43, 86, 172, 344, 688

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 634, 314, 688, 568 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 634, 314, 688, 568 is 2.

Therefore, GCD of numbers 634, 314, 688, 568 is 2

Given Input Data is 634, 314, 688, 568

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

Prime Factorization of 634 is 2 x 317

Prime Factorization of 314 is 2 x 157

Prime Factorization of 688 is 2 x 2 x 2 x 2 x 43

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(634, 314) = 99538

GCD(634, 314) = ( 634 x 314 ) / 99538

GCD(634, 314) = 199076 / 99538

GCD(634, 314) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 688

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

LCM(2, 688) = 688

GCD(2, 688) = ( 2 x 688 ) / 688

GCD(2, 688) = 1376 / 688

GCD(2, 688) = 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 634, 314, 688, 568 is 2

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1. What is the GCD of 634, 314, 688, 568?

GCD of 634, 314, 688, 568 is 2

2. Where do I get the detailed procedure to find GCD of 634, 314, 688, 568?

You can find a detailed procedure to find GCD of 634, 314, 688, 568 on our page.

3. How to find GCD of 634, 314, 688, 568 on a calculator?

You can find the GCD of 634, 314, 688, 568 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.