GCD of 920, 214, 352 Calculator

Given Input numbers are 920, 214, 352

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

Divisors of 920

List of positive integer divisors of 920 that divides 920 without a remainder.

1, 2, 4, 5, 8, 10, 20, 23, 40, 46, 92, 115, 184, 230, 460, 920

Divisors of 214

List of positive integer divisors of 214 that divides 214 without a remainder.

1, 2, 107, 214

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

Greatest Common Divisior

We found the divisors of 920, 214, 352 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 920, 214, 352 is 2.

Therefore, GCD of numbers 920, 214, 352 is 2

Given Input Data is 920, 214, 352

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

Prime Factorization of 920 is 2 x 2 x 2 x 5 x 23

Prime Factorization of 214 is 2 x 107

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

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(920, 214) = 98440

GCD(920, 214) = ( 920 x 214 ) / 98440

GCD(920, 214) = 196880 / 98440

GCD(920, 214) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 352

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

LCM(2, 352) = 352

GCD(2, 352) = ( 2 x 352 ) / 352

GCD(2, 352) = 704 / 352

GCD(2, 352) = 2

GCD of 920, 214, 352 is 2

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1. What is the GCD of 920, 214, 352?

GCD of 920, 214, 352 is 2

2. Where do I get the detailed procedure to find GCD of 920, 214, 352?

You can find a detailed procedure to find GCD of 920, 214, 352 on our page.

3. How to find GCD of 920, 214, 352 on a calculator?

You can find the GCD of 920, 214, 352 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.