GCD of 540, 636, 495, 564 Calculator

Given Input numbers are 540, 636, 495, 564

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 636 :

The positive integer divisors of 636 that completely divides 636 are.

1, 2, 3, 4, 6, 12, 53, 106, 159, 212, 318, 636

Divisors of 495 :

The positive integer divisors of 495 that completely divides 495 are.

1, 3, 5, 9, 11, 15, 33, 45, 55, 99, 165, 495

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

GCD of numbers is the greatest common divisor

So, the GCD (540, 636, 495, 564) = 3.

Given numbers are 540, 636, 495, 564

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 636 are 2 x 2 x 3 x 53

Prime factors of 495 are 3 x 3 x 5 x 11

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

The highest common occurrence is 3¹

Therefore, GCD of 540, 636, 495, 564 is 3.

Given numbers are 540, 636, 495, 564

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

Apply this formula for all numbers.

Step1:

LCM(540, 636) = 28620

GCD(540, 636) = ( 540 x 636 ) / 28620

= 540 / 636

= 540

Step2:

LCM(12, 495) = 1980

GCD(12, 495) = ( 12 x 495 ) / 1980

= 12 / 495

= 12

Step3:

LCM(3, 564) = 564

GCD(3, 564) = ( 3 x 564 ) / 564

= 3 / 564

= 3

So, Greatest Common Divisor of 540, 636, 495, 564 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 777, 927, 549, 945
• GCD of 129, 736, 456, 676
• GCD of 372, 687, 812, 991
• GCD of 429, 269, 201, 198
• GCD of 611, 129, 770, 175

Given numbers are 540, 636, 495, 564
The greatest common divisor of numbers 540, 636, 495, 564 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 540, 636, 495, 564 is 3.

1. What is the GCD of 540, 636, 495, 564?

GCD of given numbers 540, 636, 495, 564 is 3

2. How to calculate the greatest common divisor of 540, 636, 495, 564?

We can find the highest common divisor of 540, 636, 495, 564 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, 636, 495, 564 i.e 3.

3. How can I use the GCD of 540, 636, 495, 564Calculator?

Out the numbers 540, 636, 495, 564 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.