GCD of 540, 496, 40, 460 Calculator

Given Input numbers are 540, 496, 40, 460

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 496

List of positive integer divisors of 496 that divides 496 without a remainder.

1, 2, 4, 8, 16, 31, 62, 124, 248, 496

Divisors of 40

List of positive integer divisors of 40 that divides 40 without a remainder.

1, 2, 4, 5, 8, 10, 20, 40

Divisors of 460

List of positive integer divisors of 460 that divides 460 without a remainder.

1, 2, 4, 5, 10, 20, 23, 46, 92, 115, 230, 460

Greatest Common Divisior

We found the divisors of 540, 496, 40, 460 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 540, 496, 40, 460 is 4.

Therefore, GCD of numbers 540, 496, 40, 460 is 4

Given Input Data is 540, 496, 40, 460

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 496 is 2 x 2 x 2 x 2 x 31

Prime Factorization of 40 is 2 x 2 x 2 x 5

Prime Factorization of 460 is 2 x 2 x 5 x 23

Highest common occurrences in the given inputs are 2²

Multiplying them we get the GCD as 4

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, 496) = 66960

GCD(540, 496) = ( 540 x 496 ) / 66960

GCD(540, 496) = 267840 / 66960

GCD(540, 496) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 40

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

LCM(4, 40) = 40

GCD(4, 40) = ( 4 x 40 ) / 40

GCD(4, 40) = 160 / 40

GCD(4, 40) = 4

Step3:

Here we consider the GCD from the above i.e. 4 as first number and the next as 460

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

LCM(4, 460) = 460

GCD(4, 460) = ( 4 x 460 ) / 460

GCD(4, 460) = 1840 / 460

GCD(4, 460) = 4

GCD of 540, 496, 40, 460 is 4

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1. What is the GCD of 540, 496, 40, 460?

GCD of 540, 496, 40, 460 is 4

2. Where do I get the detailed procedure to find GCD of 540, 496, 40, 460?

You can find a detailed procedure to find GCD of 540, 496, 40, 460 on our page.

3. How to find GCD of 540, 496, 40, 460 on a calculator?

You can find the GCD of 540, 496, 40, 460 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.