GCD of 594, 540, 309, 228 Calculator

Given Input numbers are 594, 540, 309, 228

In the factoring method, we have to find the divisors of all numbers

Divisors of 594 :

The positive integer divisors of 594 that completely divides 594 are.

1, 2, 3, 6, 9, 11, 18, 22, 27, 33, 54, 66, 99, 198, 297, 594

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 309 :

The positive integer divisors of 309 that completely divides 309 are.

1, 3, 103, 309

Divisors of 228 :

The positive integer divisors of 228 that completely divides 228 are.

1, 2, 3, 4, 6, 12, 19, 38, 57, 76, 114, 228

GCD of numbers is the greatest common divisor

So, the GCD (594, 540, 309, 228) = 3.

Given numbers are 594, 540, 309, 228

The list of prime factors of all numbers are

Prime factors of 594 are 2 x 3 x 3 x 3 x 11

Prime factors of 540 are 2 x 2 x 3 x 3 x 3 x 5

Prime factors of 309 are 3 x 103

Prime factors of 228 are 2 x 2 x 3 x 19

The highest common occurrence is 3¹

Therefore, GCD of 594, 540, 309, 228 is 3.

Given numbers are 594, 540, 309, 228

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

Apply this formula for all numbers.

Step1:

LCM(594, 540) = 5940

GCD(594, 540) = ( 594 x 540 ) / 5940

= 594 / 540

= 594

Step2:

LCM(54, 309) = 5562

GCD(54, 309) = ( 54 x 309 ) / 5562

= 54 / 309

= 54

Step3:

LCM(3, 228) = 228

GCD(3, 228) = ( 3 x 228 ) / 228

= 3 / 228

= 3

So, Greatest Common Divisor of 594, 540, 309, 228 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 841, 460, 432, 534
• GCD of 262, 960, 748, 283
• GCD of 374, 132, 756, 505
• GCD of 659, 240, 496, 246
• GCD of 530, 432, 786, 484

Given numbers are 594, 540, 309, 228
The greatest common divisor of numbers 594, 540, 309, 228 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 594, 540, 309, 228 is 3.

1. What is the GCD of 594, 540, 309, 228?

GCD of given numbers 594, 540, 309, 228 is 3

2. How to calculate the greatest common divisor of 594, 540, 309, 228?

We can find the highest common divisor of 594, 540, 309, 228 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 594, 540, 309, 228 i.e 3.

3. How can I use the GCD of 594, 540, 309, 228Calculator?

Out the numbers 594, 540, 309, 228 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.