GCD of 352, 172, 32, 226 Calculator

Given Input numbers are 352, 172, 32, 226

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 172

List of positive integer divisors of 172 that divides 172 without a remainder.

1, 2, 4, 43, 86, 172

Divisors of 32

List of positive integer divisors of 32 that divides 32 without a remainder.

1, 2, 4, 8, 16, 32

Divisors of 226

List of positive integer divisors of 226 that divides 226 without a remainder.

1, 2, 113, 226

Greatest Common Divisior

We found the divisors of 352, 172, 32, 226 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 352, 172, 32, 226 is 2.

Therefore, GCD of numbers 352, 172, 32, 226 is 2

Given Input Data is 352, 172, 32, 226

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 172 is 2 x 2 x 43

Prime Factorization of 32 is 2 x 2 x 2 x 2 x 2

Prime Factorization of 226 is 2 x 113

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, 172) = 15136

GCD(352, 172) = ( 352 x 172 ) / 15136

GCD(352, 172) = 60544 / 15136

GCD(352, 172) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 32

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

LCM(4, 32) = 32

GCD(4, 32) = ( 4 x 32 ) / 32

GCD(4, 32) = 128 / 32

GCD(4, 32) = 4

Step3:

Here we consider the GCD from the above i.e. 4 as first number and the next as 226

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

LCM(4, 226) = 452

GCD(4, 226) = ( 4 x 226 ) / 452

GCD(4, 226) = 904 / 452

GCD(4, 226) = 2

GCD of 352, 172, 32, 226 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 154, 496, 48, 151
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• GCD of 740, 125, 90, 204
• GCD of 433, 894, 63, 315
• GCD of 496, 247, 71, 640

1. What is the GCD of 352, 172, 32, 226?

GCD of 352, 172, 32, 226 is 2

2. Where do I get the detailed procedure to find GCD of 352, 172, 32, 226?

You can find a detailed procedure to find GCD of 352, 172, 32, 226 on our page.

3. How to find GCD of 352, 172, 32, 226 on a calculator?

You can find the GCD of 352, 172, 32, 226 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.