GCD of 96, 202, 416, 382 Calculator

Given Input numbers are 96, 202, 416, 382

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

Divisors of 96

List of positive integer divisors of 96 that divides 96 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 96

Divisors of 202

List of positive integer divisors of 202 that divides 202 without a remainder.

1, 2, 101, 202

Divisors of 416

List of positive integer divisors of 416 that divides 416 without a remainder.

1, 2, 4, 8, 13, 16, 26, 32, 52, 104, 208, 416

Divisors of 382

List of positive integer divisors of 382 that divides 382 without a remainder.

1, 2, 191, 382

Greatest Common Divisior

We found the divisors of 96, 202, 416, 382 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 96, 202, 416, 382 is 2.

Therefore, GCD of numbers 96, 202, 416, 382 is 2

Given Input Data is 96, 202, 416, 382

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

Prime Factorization of 96 is 2 x 2 x 2 x 2 x 2 x 3

Prime Factorization of 202 is 2 x 101

Prime Factorization of 416 is 2 x 2 x 2 x 2 x 2 x 13

Prime Factorization of 382 is 2 x 191

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(96, 202) = 9696

GCD(96, 202) = ( 96 x 202 ) / 9696

GCD(96, 202) = 19392 / 9696

GCD(96, 202) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 416

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

LCM(2, 416) = 416

GCD(2, 416) = ( 2 x 416 ) / 416

GCD(2, 416) = 832 / 416

GCD(2, 416) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 382

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

LCM(2, 382) = 382

GCD(2, 382) = ( 2 x 382 ) / 382

GCD(2, 382) = 764 / 382

GCD(2, 382) = 2

GCD of 96, 202, 416, 382 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 61, 861, 384, 247
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• GCD of 19, 593, 774, 495
• GCD of 97, 560, 854, 895
• GCD of 45, 159, 574, 352

1. What is the GCD of 96, 202, 416, 382?

GCD of 96, 202, 416, 382 is 2

2. Where do I get the detailed procedure to find GCD of 96, 202, 416, 382?

You can find a detailed procedure to find GCD of 96, 202, 416, 382 on our page.

3. How to find GCD of 96, 202, 416, 382 on a calculator?

You can find the GCD of 96, 202, 416, 382 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.