GCD of 100, 382, 272, 434 Calculator

Given Input numbers are 100, 382, 272, 434

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

Divisors of 100

List of positive integer divisors of 100 that divides 100 without a remainder.

1, 2, 4, 5, 10, 20, 25, 50, 100

Divisors of 382

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

1, 2, 191, 382

Divisors of 272

List of positive integer divisors of 272 that divides 272 without a remainder.

1, 2, 4, 8, 16, 17, 34, 68, 136, 272

Divisors of 434

List of positive integer divisors of 434 that divides 434 without a remainder.

1, 2, 7, 14, 31, 62, 217, 434

Greatest Common Divisior

We found the divisors of 100, 382, 272, 434 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 100, 382, 272, 434 is 2.

Therefore, GCD of numbers 100, 382, 272, 434 is 2

Given Input Data is 100, 382, 272, 434

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

Prime Factorization of 100 is 2 x 2 x 5 x 5

Prime Factorization of 382 is 2 x 191

Prime Factorization of 272 is 2 x 2 x 2 x 2 x 17

Prime Factorization of 434 is 2 x 7 x 31

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(100, 382) = 19100

GCD(100, 382) = ( 100 x 382 ) / 19100

GCD(100, 382) = 38200 / 19100

GCD(100, 382) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 272

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

LCM(2, 272) = 272

GCD(2, 272) = ( 2 x 272 ) / 272

GCD(2, 272) = 544 / 272

GCD(2, 272) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 434

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

LCM(2, 434) = 434

GCD(2, 434) = ( 2 x 434 ) / 434

GCD(2, 434) = 868 / 434

GCD(2, 434) = 2

GCD of 100, 382, 272, 434 is 2

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1. What is the GCD of 100, 382, 272, 434?

GCD of 100, 382, 272, 434 is 2

2. Where do I get the detailed procedure to find GCD of 100, 382, 272, 434?

You can find a detailed procedure to find GCD of 100, 382, 272, 434 on our page.

3. How to find GCD of 100, 382, 272, 434 on a calculator?

You can find the GCD of 100, 382, 272, 434 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.