GCD of 298, 432, 540, 100 Calculator

Given Input numbers are 298, 432, 540, 100

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

Divisors of 298

List of positive integer divisors of 298 that divides 298 without a remainder.

1, 2, 149, 298

Divisors of 432

List of positive integer divisors of 432 that divides 432 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 36, 48, 54, 72, 108, 144, 216, 432

Divisors of 540

List of positive integer divisors of 540 that divides 540 without a remainder.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 27, 30, 36, 45, 54, 60, 90, 108, 135, 180, 270, 540

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

Greatest Common Divisior

We found the divisors of 298, 432, 540, 100 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 298, 432, 540, 100 is 2.

Therefore, GCD of numbers 298, 432, 540, 100 is 2

Given Input Data is 298, 432, 540, 100

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

Prime Factorization of 298 is 2 x 149

Prime Factorization of 432 is 2 x 2 x 2 x 2 x 3 x 3 x 3

Prime Factorization of 540 is 2 x 2 x 3 x 3 x 3 x 5

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

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(298, 432) = 64368

GCD(298, 432) = ( 298 x 432 ) / 64368

GCD(298, 432) = 128736 / 64368

GCD(298, 432) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 540

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

LCM(2, 540) = 540

GCD(2, 540) = ( 2 x 540 ) / 540

GCD(2, 540) = 1080 / 540

GCD(2, 540) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 100

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

LCM(2, 100) = 100

GCD(2, 100) = ( 2 x 100 ) / 100

GCD(2, 100) = 200 / 100

GCD(2, 100) = 2

GCD of 298, 432, 540, 100 is 2

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1. What is the GCD of 298, 432, 540, 100?

GCD of 298, 432, 540, 100 is 2

2. Where do I get the detailed procedure to find GCD of 298, 432, 540, 100?

You can find a detailed procedure to find GCD of 298, 432, 540, 100 on our page.

3. How to find GCD of 298, 432, 540, 100 on a calculator?

You can find the GCD of 298, 432, 540, 100 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.