GCD of 352, 380, 238, 644 Calculator

Given Input numbers are 352, 380, 238, 644

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 380

List of positive integer divisors of 380 that divides 380 without a remainder.

1, 2, 4, 5, 10, 19, 20, 38, 76, 95, 190, 380

Divisors of 238

List of positive integer divisors of 238 that divides 238 without a remainder.

1, 2, 7, 14, 17, 34, 119, 238

Divisors of 644

List of positive integer divisors of 644 that divides 644 without a remainder.

1, 2, 4, 7, 14, 23, 28, 46, 92, 161, 322, 644

Greatest Common Divisior

We found the divisors of 352, 380, 238, 644 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 352, 380, 238, 644 is 2.

Therefore, GCD of numbers 352, 380, 238, 644 is 2

Given Input Data is 352, 380, 238, 644

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 380 is 2 x 2 x 5 x 19

Prime Factorization of 238 is 2 x 7 x 17

Prime Factorization of 644 is 2 x 2 x 7 x 23

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(352, 380) = 33440

GCD(352, 380) = ( 352 x 380 ) / 33440

GCD(352, 380) = 133760 / 33440

GCD(352, 380) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 238

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

LCM(4, 238) = 476

GCD(4, 238) = ( 4 x 238 ) / 476

GCD(4, 238) = 952 / 476

GCD(4, 238) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 644

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

LCM(2, 644) = 644

GCD(2, 644) = ( 2 x 644 ) / 644

GCD(2, 644) = 1288 / 644

GCD(2, 644) = 2

GCD of 352, 380, 238, 644 is 2

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1. What is the GCD of 352, 380, 238, 644?

GCD of 352, 380, 238, 644 is 2

2. Where do I get the detailed procedure to find GCD of 352, 380, 238, 644?

You can find a detailed procedure to find GCD of 352, 380, 238, 644 on our page.

3. How to find GCD of 352, 380, 238, 644 on a calculator?

You can find the GCD of 352, 380, 238, 644 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.