GCD of 82, 408, 448, 114 Calculator

Given Input numbers are 82, 408, 448, 114

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

Divisors of 82

List of positive integer divisors of 82 that divides 82 without a remainder.

1, 2, 41, 82

Divisors of 408

List of positive integer divisors of 408 that divides 408 without a remainder.

1, 2, 3, 4, 6, 8, 12, 17, 24, 34, 51, 68, 102, 136, 204, 408

Divisors of 448

List of positive integer divisors of 448 that divides 448 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 224, 448

Divisors of 114

List of positive integer divisors of 114 that divides 114 without a remainder.

1, 2, 3, 6, 19, 38, 57, 114

Greatest Common Divisior

We found the divisors of 82, 408, 448, 114 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 82, 408, 448, 114 is 2.

Therefore, GCD of numbers 82, 408, 448, 114 is 2

Given Input Data is 82, 408, 448, 114

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

Prime Factorization of 82 is 2 x 41

Prime Factorization of 408 is 2 x 2 x 2 x 3 x 17

Prime Factorization of 448 is 2 x 2 x 2 x 2 x 2 x 2 x 7

Prime Factorization of 114 is 2 x 3 x 19

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(82, 408) = 16728

GCD(82, 408) = ( 82 x 408 ) / 16728

GCD(82, 408) = 33456 / 16728

GCD(82, 408) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 448

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

LCM(2, 448) = 448

GCD(2, 448) = ( 2 x 448 ) / 448

GCD(2, 448) = 896 / 448

GCD(2, 448) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 114

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

LCM(2, 114) = 114

GCD(2, 114) = ( 2 x 114 ) / 114

GCD(2, 114) = 228 / 114

GCD(2, 114) = 2

GCD of 82, 408, 448, 114 is 2

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• GCD of 21, 586, 605, 563
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• GCD of 81, 822, 529, 860

1. What is the GCD of 82, 408, 448, 114?

GCD of 82, 408, 448, 114 is 2

2. Where do I get the detailed procedure to find GCD of 82, 408, 448, 114?

You can find a detailed procedure to find GCD of 82, 408, 448, 114 on our page.

3. How to find GCD of 82, 408, 448, 114 on a calculator?

You can find the GCD of 82, 408, 448, 114 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.