GCD of 540, 580, 108, 821 Calculator

Given Input numbers are 540, 580, 108, 821

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 580 :

The positive integer divisors of 580 that completely divides 580 are.

1, 2, 4, 5, 10, 20, 29, 58, 116, 145, 290, 580

Divisors of 108 :

The positive integer divisors of 108 that completely divides 108 are.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 108

Divisors of 821 :

The positive integer divisors of 821 that completely divides 821 are.

1, 821

GCD of numbers is the greatest common divisor

So, the GCD (540, 580, 108, 821) = 1.

Given numbers are 540, 580, 108, 821

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 580 are 2 x 2 x 5 x 29

Prime factors of 108 are 2 x 2 x 3 x 3 x 3

Prime factors of 821 are 821

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

Given numbers are 540, 580, 108, 821

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

Apply this formula for all numbers.

Step1:

LCM(540, 580) = 15660

GCD(540, 580) = ( 540 x 580 ) / 15660

= 540 / 580

= 540

Step2:

LCM(20, 108) = 540

GCD(20, 108) = ( 20 x 108 ) / 540

= 20 / 108

= 20

Step3:

LCM(4, 821) = 3284

GCD(4, 821) = ( 4 x 821 ) / 3284

= 4 / 821

= 4

So, Greatest Common Divisor of 540, 580, 108, 821 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 666, 560, 454, 308
• GCD of 101, 677, 748, 753
• GCD of 301, 845, 738, 766
• GCD of 222, 448, 413, 249
• GCD of 603, 313, 119, 510

Given numbers are 540, 580, 108, 821
The greatest common divisor of numbers 540, 580, 108, 821 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 540, 580, 108, 821 is 1.

1. What is the GCD of 540, 580, 108, 821?

GCD of given numbers 540, 580, 108, 821 is 1

2. How to calculate the greatest common divisor of 540, 580, 108, 821?

We can find the highest common divisor of 540, 580, 108, 821 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, 580, 108, 821 i.e 1.

3. How can I use the GCD of 540, 580, 108, 821Calculator?

Out the numbers 540, 580, 108, 821 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.