GCD of 294, 520, 608 Calculator

Given Input numbers are 294, 520, 608

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

Divisors of 294

List of positive integer divisors of 294 that divides 294 without a remainder.

1, 2, 3, 6, 7, 14, 21, 42, 49, 98, 147, 294

Divisors of 520

List of positive integer divisors of 520 that divides 520 without a remainder.

1, 2, 4, 5, 8, 10, 13, 20, 26, 40, 52, 65, 104, 130, 260, 520

Divisors of 608

List of positive integer divisors of 608 that divides 608 without a remainder.

1, 2, 4, 8, 16, 19, 32, 38, 76, 152, 304, 608

Greatest Common Divisior

We found the divisors of 294, 520, 608 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 294, 520, 608 is 2.

Therefore, GCD of numbers 294, 520, 608 is 2

Given Input Data is 294, 520, 608

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

Prime Factorization of 294 is 2 x 3 x 7 x 7

Prime Factorization of 520 is 2 x 2 x 2 x 5 x 13

Prime Factorization of 608 is 2 x 2 x 2 x 2 x 2 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(294, 520) = 76440

GCD(294, 520) = ( 294 x 520 ) / 76440

GCD(294, 520) = 152880 / 76440

GCD(294, 520) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 608

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

LCM(2, 608) = 608

GCD(2, 608) = ( 2 x 608 ) / 608

GCD(2, 608) = 1216 / 608

GCD(2, 608) = 2

GCD of 294, 520, 608 is 2

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1. What is the GCD of 294, 520, 608?

GCD of 294, 520, 608 is 2

2. Where do I get the detailed procedure to find GCD of 294, 520, 608?

You can find a detailed procedure to find GCD of 294, 520, 608 on our page.

3. How to find GCD of 294, 520, 608 on a calculator?

You can find the GCD of 294, 520, 608 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.