GCD of 540, 520, 742 Calculator

Given Input numbers are 540, 520, 742

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 520

List of positive integer divisors of 520 that divides 520 without a remainder.

1, 2, 4, 5, 8, 10, 13, 20, 26, 40, 52, 65, 104, 130, 260, 520

Divisors of 742

List of positive integer divisors of 742 that divides 742 without a remainder.

1, 2, 7, 14, 53, 106, 371, 742

Greatest Common Divisior

We found the divisors of 540, 520, 742 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 540, 520, 742 is 2.

Therefore, GCD of numbers 540, 520, 742 is 2

Given Input Data is 540, 520, 742

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 520 is 2 x 2 x 2 x 5 x 13

Prime Factorization of 742 is 2 x 7 x 53

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, 520) = 14040

GCD(540, 520) = ( 540 x 520 ) / 14040

GCD(540, 520) = 280800 / 14040

GCD(540, 520) = 20

Step2:

Here we consider the GCD from the above i.e. 20 as first number and the next as 742

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

LCM(20, 742) = 7420

GCD(20, 742) = ( 20 x 742 ) / 7420

GCD(20, 742) = 14840 / 7420

GCD(20, 742) = 2

GCD of 540, 520, 742 is 2

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1. What is the GCD of 540, 520, 742?

GCD of 540, 520, 742 is 2

2. Where do I get the detailed procedure to find GCD of 540, 520, 742?

You can find a detailed procedure to find GCD of 540, 520, 742 on our page.

3. How to find GCD of 540, 520, 742 on a calculator?

You can find the GCD of 540, 520, 742 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.