GCD of 594, 144, 321, 528 Calculator

Given Input numbers are 594, 144, 321, 528

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 144 :

The positive integer divisors of 144 that completely divides 144 are.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144

Divisors of 321 :

The positive integer divisors of 321 that completely divides 321 are.

1, 3, 107, 321

Divisors of 528 :

The positive integer divisors of 528 that completely divides 528 are.

1, 2, 3, 4, 6, 8, 11, 12, 16, 22, 24, 33, 44, 48, 66, 88, 132, 176, 264, 528

GCD of numbers is the greatest common divisor

So, the GCD (594, 144, 321, 528) = 3.

Given numbers are 594, 144, 321, 528

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 144 are 2 x 2 x 2 x 2 x 3 x 3

Prime factors of 321 are 3 x 107

Prime factors of 528 are 2 x 2 x 2 x 2 x 3 x 11

The highest common occurrence is 3¹

Therefore, GCD of 594, 144, 321, 528 is 3.

Given numbers are 594, 144, 321, 528

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

Apply this formula for all numbers.

Step1:

LCM(594, 144) = 4752

GCD(594, 144) = ( 594 x 144 ) / 4752

= 594 / 144

= 594

Step2:

LCM(18, 321) = 1926

GCD(18, 321) = ( 18 x 321 ) / 1926

= 18 / 321

= 18

Step3:

LCM(3, 528) = 528

GCD(3, 528) = ( 3 x 528 ) / 528

= 3 / 528

= 3

So, Greatest Common Divisor of 594, 144, 321, 528 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 578, 860, 893, 635
• GCD of 202, 146, 837, 804
• GCD of 781, 606, 520, 900
• GCD of 823, 263, 487, 167
• GCD of 146, 655, 126, 864

Given numbers are 594, 144, 321, 528
The greatest common divisor of numbers 594, 144, 321, 528 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 594, 144, 321, 528 is 3.

1. What is the GCD of 594, 144, 321, 528?

GCD of given numbers 594, 144, 321, 528 is 3

2. How to calculate the greatest common divisor of 594, 144, 321, 528?

We can find the highest common divisor of 594, 144, 321, 528 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, 144, 321, 528 i.e 3.

3. How can I use the GCD of 594, 144, 321, 528Calculator?

Out the numbers 594, 144, 321, 528 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.