GCD of 352, 112, 444 Calculator

Given Input numbers are 352, 112, 444

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 112

List of positive integer divisors of 112 that divides 112 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 56, 112

Divisors of 444

List of positive integer divisors of 444 that divides 444 without a remainder.

1, 2, 3, 4, 6, 12, 37, 74, 111, 148, 222, 444

Greatest Common Divisior

We found the divisors of 352, 112, 444 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 352, 112, 444 is 4.

Therefore, GCD of numbers 352, 112, 444 is 4

Given Input Data is 352, 112, 444

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 112 is 2 x 2 x 2 x 2 x 7

Prime Factorization of 444 is 2 x 2 x 3 x 37

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, 112) = 2464

GCD(352, 112) = ( 352 x 112 ) / 2464

GCD(352, 112) = 39424 / 2464

GCD(352, 112) = 16

Step2:

Here we consider the GCD from the above i.e. 16 as first number and the next as 444

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

LCM(16, 444) = 1776

GCD(16, 444) = ( 16 x 444 ) / 1776

GCD(16, 444) = 7104 / 1776

GCD(16, 444) = 4

GCD of 352, 112, 444 is 4

Here are some samples of GCD of Numbers calculations.

• GCD of 959, 282, 656
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• GCD of 226, 616, 700
• GCD of 442, 754, 708
• GCD of 862, 947, 967

1. What is the GCD of 352, 112, 444?

GCD of 352, 112, 444 is 4

2. Where do I get the detailed procedure to find GCD of 352, 112, 444?

You can find a detailed procedure to find GCD of 352, 112, 444 on our page.

3. How to find GCD of 352, 112, 444 on a calculator?

You can find the GCD of 352, 112, 444 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.