GCD of 258, 562, 798, 616 Calculator

Given Input numbers are 258, 562, 798, 616

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

Divisors of 258

List of positive integer divisors of 258 that divides 258 without a remainder.

1, 2, 3, 6, 43, 86, 129, 258

Divisors of 562

List of positive integer divisors of 562 that divides 562 without a remainder.

1, 2, 281, 562

Divisors of 798

List of positive integer divisors of 798 that divides 798 without a remainder.

1, 2, 3, 6, 7, 14, 19, 21, 38, 42, 57, 114, 133, 266, 399, 798

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

Greatest Common Divisior

We found the divisors of 258, 562, 798, 616 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 258, 562, 798, 616 is 2.

Therefore, GCD of numbers 258, 562, 798, 616 is 2

Given Input Data is 258, 562, 798, 616

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

Prime Factorization of 258 is 2 x 3 x 43

Prime Factorization of 562 is 2 x 281

Prime Factorization of 798 is 2 x 3 x 7 x 19

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

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(258, 562) = 72498

GCD(258, 562) = ( 258 x 562 ) / 72498

GCD(258, 562) = 144996 / 72498

GCD(258, 562) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 798

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

LCM(2, 798) = 798

GCD(2, 798) = ( 2 x 798 ) / 798

GCD(2, 798) = 1596 / 798

GCD(2, 798) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 616

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

LCM(2, 616) = 616

GCD(2, 616) = ( 2 x 616 ) / 616

GCD(2, 616) = 1232 / 616

GCD(2, 616) = 2

GCD of 258, 562, 798, 616 is 2

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1. What is the GCD of 258, 562, 798, 616?

GCD of 258, 562, 798, 616 is 2

2. Where do I get the detailed procedure to find GCD of 258, 562, 798, 616?

You can find a detailed procedure to find GCD of 258, 562, 798, 616 on our page.

3. How to find GCD of 258, 562, 798, 616 on a calculator?

You can find the GCD of 258, 562, 798, 616 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.