GCD of 496, 380, 112 Calculator

Given Input numbers are 496, 380, 112

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

Divisors of 496

List of positive integer divisors of 496 that divides 496 without a remainder.

1, 2, 4, 8, 16, 31, 62, 124, 248, 496

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 112

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

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

Greatest Common Divisior

We found the divisors of 496, 380, 112 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 496, 380, 112 is 4.

Therefore, GCD of numbers 496, 380, 112 is 4

Given Input Data is 496, 380, 112

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

Prime Factorization of 496 is 2 x 2 x 2 x 2 x 31

Prime Factorization of 380 is 2 x 2 x 5 x 19

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

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(496, 380) = 47120

GCD(496, 380) = ( 496 x 380 ) / 47120

GCD(496, 380) = 188480 / 47120

GCD(496, 380) = 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

GCD of 496, 380, 112 is 4

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1. What is the GCD of 496, 380, 112?

GCD of 496, 380, 112 is 4

2. Where do I get the detailed procedure to find GCD of 496, 380, 112?

You can find a detailed procedure to find GCD of 496, 380, 112 on our page.

3. How to find GCD of 496, 380, 112 on a calculator?

You can find the GCD of 496, 380, 112 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.