GCD of 540, 395, 564, 861 Calculator

Given Input numbers are 540, 395, 564, 861

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 395 :

The positive integer divisors of 395 that completely divides 395 are.

1, 5, 79, 395

Divisors of 564 :

The positive integer divisors of 564 that completely divides 564 are.

1, 2, 3, 4, 6, 12, 47, 94, 141, 188, 282, 564

Divisors of 861 :

The positive integer divisors of 861 that completely divides 861 are.

1, 3, 7, 21, 41, 123, 287, 861

GCD of numbers is the greatest common divisor

So, the GCD (540, 395, 564, 861) = 1.

Given numbers are 540, 395, 564, 861

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 395 are 5 x 79

Prime factors of 564 are 2 x 2 x 3 x 47

Prime factors of 861 are 3 x 7 x 41

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

Given numbers are 540, 395, 564, 861

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

Apply this formula for all numbers.

Step1:

LCM(540, 395) = 42660

GCD(540, 395) = ( 540 x 395 ) / 42660

= 540 / 395

= 540

Step2:

LCM(5, 564) = 2820

GCD(5, 564) = ( 5 x 564 ) / 2820

= 5 / 564

= 5

Step3:

LCM(1, 861) = 861

GCD(1, 861) = ( 1 x 861 ) / 861

= 1 / 861

= 1

So, Greatest Common Divisor of 540, 395, 564, 861 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 263, 468, 666, 177
• GCD of 721, 658, 432, 844
• GCD of 444, 132, 515, 108
• GCD of 635, 645, 980, 484
• GCD of 272, 503, 556, 720

Given numbers are 540, 395, 564, 861
The greatest common divisor of numbers 540, 395, 564, 861 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 540, 395, 564, 861 is 1.

1. What is the GCD of 540, 395, 564, 861?

GCD of given numbers 540, 395, 564, 861 is 1

2. How to calculate the greatest common divisor of 540, 395, 564, 861?

We can find the highest common divisor of 540, 395, 564, 861 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, 395, 564, 861 i.e 1.

3. How can I use the GCD of 540, 395, 564, 861Calculator?

Out the numbers 540, 395, 564, 861 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.