GCD of 540, 444, 909, 771 Calculator

Given Input numbers are 540, 444, 909, 771

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 444 :

The positive integer divisors of 444 that completely divides 444 are.

1, 2, 3, 4, 6, 12, 37, 74, 111, 148, 222, 444

Divisors of 909 :

The positive integer divisors of 909 that completely divides 909 are.

1, 3, 9, 101, 303, 909

Divisors of 771 :

The positive integer divisors of 771 that completely divides 771 are.

1, 3, 257, 771

GCD of numbers is the greatest common divisor

So, the GCD (540, 444, 909, 771) = 3.

Given numbers are 540, 444, 909, 771

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 444 are 2 x 2 x 3 x 37

Prime factors of 909 are 3 x 3 x 101

Prime factors of 771 are 3 x 257

The highest common occurrence is 3¹

Therefore, GCD of 540, 444, 909, 771 is 3.

Given numbers are 540, 444, 909, 771

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

Apply this formula for all numbers.

Step1:

LCM(540, 444) = 19980

GCD(540, 444) = ( 540 x 444 ) / 19980

= 540 / 444

= 540

Step2:

LCM(12, 909) = 3636

GCD(12, 909) = ( 12 x 909 ) / 3636

= 12 / 909

= 12

Step3:

LCM(3, 771) = 771

GCD(3, 771) = ( 3 x 771 ) / 771

= 3 / 771

= 3

So, Greatest Common Divisor of 540, 444, 909, 771 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 211, 962, 559, 974
• GCD of 629, 525, 255, 172
• GCD of 104, 580, 831, 414
• GCD of 132, 929, 629, 656
• GCD of 114, 534, 505, 489

Given numbers are 540, 444, 909, 771
The greatest common divisor of numbers 540, 444, 909, 771 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 540, 444, 909, 771 is 3.

1. What is the GCD of 540, 444, 909, 771?

GCD of given numbers 540, 444, 909, 771 is 3

2. How to calculate the greatest common divisor of 540, 444, 909, 771?

We can find the highest common divisor of 540, 444, 909, 771 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, 444, 909, 771 i.e 3.

3. How can I use the GCD of 540, 444, 909, 771Calculator?

Out the numbers 540, 444, 909, 771 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.