GCD of 328, 616, 78, 258 Calculator

Given Input numbers are 328, 616, 78, 258

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

Divisors of 328

List of positive integer divisors of 328 that divides 328 without a remainder.

1, 2, 4, 8, 41, 82, 164, 328

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 78

List of positive integer divisors of 78 that divides 78 without a remainder.

1, 2, 3, 6, 13, 26, 39, 78

Divisors of 258

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

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

Greatest Common Divisior

We found the divisors of 328, 616, 78, 258 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 328, 616, 78, 258 is 2.

Therefore, GCD of numbers 328, 616, 78, 258 is 2

Given Input Data is 328, 616, 78, 258

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

Prime Factorization of 328 is 2 x 2 x 2 x 41

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

Prime Factorization of 78 is 2 x 3 x 13

Prime Factorization of 258 is 2 x 3 x 43

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(328, 616) = 25256

GCD(328, 616) = ( 328 x 616 ) / 25256

GCD(328, 616) = 202048 / 25256

GCD(328, 616) = 8

Step2:

Here we consider the GCD from the above i.e. 8 as first number and the next as 78

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

LCM(8, 78) = 312

GCD(8, 78) = ( 8 x 78 ) / 312

GCD(8, 78) = 624 / 312

GCD(8, 78) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 258

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

LCM(2, 258) = 258

GCD(2, 258) = ( 2 x 258 ) / 258

GCD(2, 258) = 516 / 258

GCD(2, 258) = 2

GCD of 328, 616, 78, 258 is 2

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• GCD of 763, 748, 81, 768
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1. What is the GCD of 328, 616, 78, 258?

GCD of 328, 616, 78, 258 is 2

2. Where do I get the detailed procedure to find GCD of 328, 616, 78, 258?

You can find a detailed procedure to find GCD of 328, 616, 78, 258 on our page.

3. How to find GCD of 328, 616, 78, 258 on a calculator?

You can find the GCD of 328, 616, 78, 258 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.