GCD of 44, 476, 112, 156 Calculator

Given Input numbers are 44, 476, 112, 156

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

Divisors of 44

List of positive integer divisors of 44 that divides 44 without a remainder.

1, 2, 4, 11, 22, 44

Divisors of 476

List of positive integer divisors of 476 that divides 476 without a remainder.

1, 2, 4, 7, 14, 17, 28, 34, 68, 119, 238, 476

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 156

List of positive integer divisors of 156 that divides 156 without a remainder.

1, 2, 3, 4, 6, 12, 13, 26, 39, 52, 78, 156

Greatest Common Divisior

We found the divisors of 44, 476, 112, 156 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 44, 476, 112, 156 is 4.

Therefore, GCD of numbers 44, 476, 112, 156 is 4

Given Input Data is 44, 476, 112, 156

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

Prime Factorization of 44 is 2 x 2 x 11

Prime Factorization of 476 is 2 x 2 x 7 x 17

Prime Factorization of 112 is 2 x 2 x 2 x 2 x 7

Prime Factorization of 156 is 2 x 2 x 3 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(44, 476) = 5236

GCD(44, 476) = ( 44 x 476 ) / 5236

GCD(44, 476) = 20944 / 5236

GCD(44, 476) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 112

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

LCM(4, 112) = 112

GCD(4, 112) = ( 4 x 112 ) / 112

GCD(4, 112) = 448 / 112

GCD(4, 112) = 4

Step3:

Here we consider the GCD from the above i.e. 4 as first number and the next as 156

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

LCM(4, 156) = 156

GCD(4, 156) = ( 4 x 156 ) / 156

GCD(4, 156) = 624 / 156

GCD(4, 156) = 4

GCD of 44, 476, 112, 156 is 4

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• GCD of 56, 632, 212, 401
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1. What is the GCD of 44, 476, 112, 156?

GCD of 44, 476, 112, 156 is 4

2. Where do I get the detailed procedure to find GCD of 44, 476, 112, 156?

You can find a detailed procedure to find GCD of 44, 476, 112, 156 on our page.

3. How to find GCD of 44, 476, 112, 156 on a calculator?

You can find the GCD of 44, 476, 112, 156 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.