GCD of 244, 904, 74, 260 Calculator

Given Input numbers are 244, 904, 74, 260

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

Divisors of 244

List of positive integer divisors of 244 that divides 244 without a remainder.

1, 2, 4, 61, 122, 244

Divisors of 904

List of positive integer divisors of 904 that divides 904 without a remainder.

1, 2, 4, 8, 113, 226, 452, 904

Divisors of 74

List of positive integer divisors of 74 that divides 74 without a remainder.

1, 2, 37, 74

Divisors of 260

List of positive integer divisors of 260 that divides 260 without a remainder.

1, 2, 4, 5, 10, 13, 20, 26, 52, 65, 130, 260

Greatest Common Divisior

We found the divisors of 244, 904, 74, 260 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 244, 904, 74, 260 is 2.

Therefore, GCD of numbers 244, 904, 74, 260 is 2

Given Input Data is 244, 904, 74, 260

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

Prime Factorization of 244 is 2 x 2 x 61

Prime Factorization of 904 is 2 x 2 x 2 x 113

Prime Factorization of 74 is 2 x 37

Prime Factorization of 260 is 2 x 2 x 5 x 13

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(244, 904) = 55144

GCD(244, 904) = ( 244 x 904 ) / 55144

GCD(244, 904) = 220576 / 55144

GCD(244, 904) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 74

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

LCM(4, 74) = 148

GCD(4, 74) = ( 4 x 74 ) / 148

GCD(4, 74) = 296 / 148

GCD(4, 74) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 260

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

LCM(2, 260) = 260

GCD(2, 260) = ( 2 x 260 ) / 260

GCD(2, 260) = 520 / 260

GCD(2, 260) = 2

GCD of 244, 904, 74, 260 is 2

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1. What is the GCD of 244, 904, 74, 260?

GCD of 244, 904, 74, 260 is 2

2. Where do I get the detailed procedure to find GCD of 244, 904, 74, 260?

You can find a detailed procedure to find GCD of 244, 904, 74, 260 on our page.

3. How to find GCD of 244, 904, 74, 260 on a calculator?

You can find the GCD of 244, 904, 74, 260 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.