GCD of 540, 484, 432, 520 Calculator

Given Input numbers are 540, 484, 432, 520

In the factoring method, we have to find the divisors of all numbers

Divisors of 540 :

The positive integer divisors of 540 that completely divides 540 are.

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 484 :

The positive integer divisors of 484 that completely divides 484 are.

1, 2, 4, 11, 22, 44, 121, 242, 484

Divisors of 432 :

The positive integer divisors of 432 that completely divides 432 are.

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

Divisors of 520 :

The positive integer divisors of 520 that completely divides 520 are.

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

GCD of numbers is the greatest common divisor

So, the GCD (540, 484, 432, 520) = 4.

Given numbers are 540, 484, 432, 520

The list of prime factors of all numbers are

Prime factors of 540 are 2 x 2 x 3 x 3 x 3 x 5

Prime factors of 484 are 2 x 2 x 11 x 11

Prime factors of 432 are 2 x 2 x 2 x 2 x 3 x 3 x 3

Prime factors of 520 are 2 x 2 x 2 x 5 x 13

The highest common occurrence is 2²

Therefore, GCD of 540, 484, 432, 520 is 4.

Given numbers are 540, 484, 432, 520

GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)

Apply this formula for all numbers.

Step1:

LCM(540, 484) = 65340

GCD(540, 484) = ( 540 x 484 ) / 65340

= 540 / 484

= 540

Step2:

LCM(4, 432) = 432

GCD(4, 432) = ( 4 x 432 ) / 432

= 4 / 432

= 4

Step3:

LCM(4, 520) = 520

GCD(4, 520) = ( 4 x 520 ) / 520

= 4 / 520

= 4

So, Greatest Common Divisor of 540, 484, 432, 520 is 4

Here are some samples of GCD of Numbers calculations.

• GCD of 680, 162, 539, 536
• GCD of 586, 866, 636, 540
• GCD of 215, 627, 748, 848
• GCD of 366, 336, 723, 147
• GCD of 420, 602, 462, 176

Given numbers are 540, 484, 432, 520
The greatest common divisor of numbers 540, 484, 432, 520 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 540, 484, 432, 520 is 4.

1. What is the GCD of 540, 484, 432, 520?

GCD of given numbers 540, 484, 432, 520 is 4

2. How to calculate the greatest common divisor of 540, 484, 432, 520?

We can find the highest common divisor of 540, 484, 432, 520 easily using the prime factorization method. Just list the prime factors of all numbers and pick the highest common factor which is the GCD of 540, 484, 432, 520 i.e 4.

3. How can I use the GCD of 540, 484, 432, 520Calculator?

Out the numbers 540, 484, 432, 520 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.