GCD of 540, 298, 36, 338 Calculator

Given Input numbers are 540, 298, 36, 338

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

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 298

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

1, 2, 149, 298

Divisors of 36

List of positive integer divisors of 36 that divides 36 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 36

Divisors of 338

List of positive integer divisors of 338 that divides 338 without a remainder.

1, 2, 13, 26, 169, 338

Greatest Common Divisior

We found the divisors of 540, 298, 36, 338 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 540, 298, 36, 338 is 2.

Therefore, GCD of numbers 540, 298, 36, 338 is 2

Given Input Data is 540, 298, 36, 338

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

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

Prime Factorization of 298 is 2 x 149

Prime Factorization of 36 is 2 x 2 x 3 x 3

Prime Factorization of 338 is 2 x 13 x 13

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(540, 298) = 80460

GCD(540, 298) = ( 540 x 298 ) / 80460

GCD(540, 298) = 160920 / 80460

GCD(540, 298) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 36

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

LCM(2, 36) = 36

GCD(2, 36) = ( 2 x 36 ) / 36

GCD(2, 36) = 72 / 36

GCD(2, 36) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 338

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

LCM(2, 338) = 338

GCD(2, 338) = ( 2 x 338 ) / 338

GCD(2, 338) = 676 / 338

GCD(2, 338) = 2

GCD of 540, 298, 36, 338 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 999, 297, 87, 784
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• GCD of 830, 476, 30, 131
• GCD of 874, 725, 67, 299
• GCD of 411, 398, 19, 563

1. What is the GCD of 540, 298, 36, 338?

GCD of 540, 298, 36, 338 is 2

2. Where do I get the detailed procedure to find GCD of 540, 298, 36, 338?

You can find a detailed procedure to find GCD of 540, 298, 36, 338 on our page.

3. How to find GCD of 540, 298, 36, 338 on a calculator?

You can find the GCD of 540, 298, 36, 338 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.