GCD of 568, 542, 60, 646 Calculator

Given Input numbers are 568, 542, 60, 646

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

Divisors of 568

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

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

Divisors of 542

List of positive integer divisors of 542 that divides 542 without a remainder.

1, 2, 271, 542

Divisors of 60

List of positive integer divisors of 60 that divides 60 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60

Divisors of 646

List of positive integer divisors of 646 that divides 646 without a remainder.

1, 2, 17, 19, 34, 38, 323, 646

Greatest Common Divisior

We found the divisors of 568, 542, 60, 646 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 568, 542, 60, 646 is 2.

Therefore, GCD of numbers 568, 542, 60, 646 is 2

Given Input Data is 568, 542, 60, 646

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

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

Prime Factorization of 542 is 2 x 271

Prime Factorization of 60 is 2 x 2 x 3 x 5

Prime Factorization of 646 is 2 x 17 x 19

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(568, 542) = 153928

GCD(568, 542) = ( 568 x 542 ) / 153928

GCD(568, 542) = 307856 / 153928

GCD(568, 542) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 60

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

LCM(2, 60) = 60

GCD(2, 60) = ( 2 x 60 ) / 60

GCD(2, 60) = 120 / 60

GCD(2, 60) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 646

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

LCM(2, 646) = 646

GCD(2, 646) = ( 2 x 646 ) / 646

GCD(2, 646) = 1292 / 646

GCD(2, 646) = 2

GCD of 568, 542, 60, 646 is 2

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1. What is the GCD of 568, 542, 60, 646?

GCD of 568, 542, 60, 646 is 2

2. Where do I get the detailed procedure to find GCD of 568, 542, 60, 646?

You can find a detailed procedure to find GCD of 568, 542, 60, 646 on our page.

3. How to find GCD of 568, 542, 60, 646 on a calculator?

You can find the GCD of 568, 542, 60, 646 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.