GCD of 352, 296, 260 Calculator

Given Input numbers are 352, 296, 260

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

Divisors of 352

List of positive integer divisors of 352 that divides 352 without a remainder.

1, 2, 4, 8, 11, 16, 22, 32, 44, 88, 176, 352

Divisors of 296

List of positive integer divisors of 296 that divides 296 without a remainder.

1, 2, 4, 8, 37, 74, 148, 296

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 352, 296, 260 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 352, 296, 260 is 4.

Therefore, GCD of numbers 352, 296, 260 is 4

Given Input Data is 352, 296, 260

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

Prime Factorization of 352 is 2 x 2 x 2 x 2 x 2 x 11

Prime Factorization of 296 is 2 x 2 x 2 x 37

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

Highest common occurrences in the given inputs are 2²

Multiplying them we get the GCD as 4

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(352, 296) = 13024

GCD(352, 296) = ( 352 x 296 ) / 13024

GCD(352, 296) = 104192 / 13024

GCD(352, 296) = 8

Step2:

Here we consider the GCD from the above i.e. 8 as first number and the next as 260

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

LCM(8, 260) = 520

GCD(8, 260) = ( 8 x 260 ) / 520

GCD(8, 260) = 2080 / 520

GCD(8, 260) = 4

GCD of 352, 296, 260 is 4

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1. What is the GCD of 352, 296, 260?

GCD of 352, 296, 260 is 4

2. Where do I get the detailed procedure to find GCD of 352, 296, 260?

You can find a detailed procedure to find GCD of 352, 296, 260 on our page.

3. How to find GCD of 352, 296, 260 on a calculator?

You can find the GCD of 352, 296, 260 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.