GCD of 832, 562, 540 Calculator

Given Input numbers are 832, 562, 540

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

Divisors of 832

List of positive integer divisors of 832 that divides 832 without a remainder.

1, 2, 4, 8, 13, 16, 26, 32, 52, 64, 104, 208, 416, 832

Divisors of 562

List of positive integer divisors of 562 that divides 562 without a remainder.

1, 2, 281, 562

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

Greatest Common Divisior

We found the divisors of 832, 562, 540 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 832, 562, 540 is 2.

Therefore, GCD of numbers 832, 562, 540 is 2

Given Input Data is 832, 562, 540

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

Prime Factorization of 832 is 2 x 2 x 2 x 2 x 2 x 2 x 13

Prime Factorization of 562 is 2 x 281

Prime Factorization of 540 is 2 x 2 x 3 x 3 x 3 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(832, 562) = 233792

GCD(832, 562) = ( 832 x 562 ) / 233792

GCD(832, 562) = 467584 / 233792

GCD(832, 562) = 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

GCD of 832, 562, 540 is 2

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1. What is the GCD of 832, 562, 540?

GCD of 832, 562, 540 is 2

2. Where do I get the detailed procedure to find GCD of 832, 562, 540?

You can find a detailed procedure to find GCD of 832, 562, 540 on our page.

3. How to find GCD of 832, 562, 540 on a calculator?

You can find the GCD of 832, 562, 540 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.