GCD of 328, 562, 304, 758 Calculator

Given Input numbers are 328, 562, 304, 758

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 562

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

1, 2, 281, 562

Divisors of 304

List of positive integer divisors of 304 that divides 304 without a remainder.

1, 2, 4, 8, 16, 19, 38, 76, 152, 304

Divisors of 758

List of positive integer divisors of 758 that divides 758 without a remainder.

1, 2, 379, 758

Greatest Common Divisior

We found the divisors of 328, 562, 304, 758 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 328, 562, 304, 758 is 2.

Therefore, GCD of numbers 328, 562, 304, 758 is 2

Given Input Data is 328, 562, 304, 758

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 562 is 2 x 281

Prime Factorization of 304 is 2 x 2 x 2 x 2 x 19

Prime Factorization of 758 is 2 x 379

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, 562) = 92168

GCD(328, 562) = ( 328 x 562 ) / 92168

GCD(328, 562) = 184336 / 92168

GCD(328, 562) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 304

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

LCM(2, 304) = 304

GCD(2, 304) = ( 2 x 304 ) / 304

GCD(2, 304) = 608 / 304

GCD(2, 304) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 758

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

LCM(2, 758) = 758

GCD(2, 758) = ( 2 x 758 ) / 758

GCD(2, 758) = 1516 / 758

GCD(2, 758) = 2

GCD of 328, 562, 304, 758 is 2

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1. What is the GCD of 328, 562, 304, 758?

GCD of 328, 562, 304, 758 is 2

2. Where do I get the detailed procedure to find GCD of 328, 562, 304, 758?

You can find a detailed procedure to find GCD of 328, 562, 304, 758 on our page.

3. How to find GCD of 328, 562, 304, 758 on a calculator?

You can find the GCD of 328, 562, 304, 758 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.