GCD of 540, 420, 56, 487 Calculator

Given Input numbers are 540, 420, 56, 487

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 420 :

The positive integer divisors of 420 that completely divides 420 are.

1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420

Divisors of 56 :

The positive integer divisors of 56 that completely divides 56 are.

1, 2, 4, 7, 8, 14, 28, 56

Divisors of 487 :

The positive integer divisors of 487 that completely divides 487 are.

1, 487

GCD of numbers is the greatest common divisor

So, the GCD (540, 420, 56, 487) = 1.

Given numbers are 540, 420, 56, 487

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 420 are 2 x 2 x 3 x 5 x 7

Prime factors of 56 are 2 x 2 x 2 x 7

Prime factors of 487 are 487

The above numbers do not have any common prime factor. So GCD is 1

Given numbers are 540, 420, 56, 487

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

Apply this formula for all numbers.

Step1:

LCM(540, 420) = 3780

GCD(540, 420) = ( 540 x 420 ) / 3780

= 540 / 420

= 540

Step2:

LCM(60, 56) = 840

GCD(60, 56) = ( 60 x 56 ) / 840

= 60 / 56

= 60

Step3:

LCM(4, 487) = 1948

GCD(4, 487) = ( 4 x 487 ) / 1948

= 4 / 487

= 4

So, Greatest Common Divisor of 540, 420, 56, 487 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 313, 555, 39, 708
• GCD of 551, 967, 73, 164
• GCD of 212, 966, 81, 409
• GCD of 234, 432, 26, 435
• GCD of 727, 915, 13, 526

Given numbers are 540, 420, 56, 487
The greatest common divisor of numbers 540, 420, 56, 487 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 540, 420, 56, 487 is 1.

1. What is the GCD of 540, 420, 56, 487?

GCD of given numbers 540, 420, 56, 487 is 1

2. How to calculate the greatest common divisor of 540, 420, 56, 487?

We can find the highest common divisor of 540, 420, 56, 487 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, 420, 56, 487 i.e 1.

3. How can I use the GCD of 540, 420, 56, 487Calculator?

Out the numbers 540, 420, 56, 487 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.