GCD of 144, 561, 435, 810 Calculator

Given Input numbers are 144, 561, 435, 810

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

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 561 :

The positive integer divisors of 561 that completely divides 561 are.

1, 3, 11, 17, 33, 51, 187, 561

Divisors of 435 :

The positive integer divisors of 435 that completely divides 435 are.

1, 3, 5, 15, 29, 87, 145, 435

Divisors of 810 :

The positive integer divisors of 810 that completely divides 810 are.

1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 81, 90, 135, 162, 270, 405, 810

GCD of numbers is the greatest common divisor

So, the GCD (144, 561, 435, 810) = 3.

Given numbers are 144, 561, 435, 810

The list of prime factors of all numbers are

Prime factors of 144 are 2 x 2 x 2 x 2 x 3 x 3

Prime factors of 561 are 3 x 11 x 17

Prime factors of 435 are 3 x 5 x 29

Prime factors of 810 are 2 x 3 x 3 x 3 x 3 x 5

The highest common occurrence is 3¹

Therefore, GCD of 144, 561, 435, 810 is 3.

Given numbers are 144, 561, 435, 810

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

Apply this formula for all numbers.

Step1:

LCM(144, 561) = 26928

GCD(144, 561) = ( 144 x 561 ) / 26928

= 144 / 561

= 144

Step2:

LCM(3, 435) = 435

GCD(3, 435) = ( 3 x 435 ) / 435

= 3 / 435

= 3

Step3:

LCM(3, 810) = 810

GCD(3, 810) = ( 3 x 810 ) / 810

= 3 / 810

= 3

So, Greatest Common Divisor of 144, 561, 435, 810 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 320, 473, 918, 102
• GCD of 200, 732, 959, 163
• GCD of 824, 523, 331, 820
• GCD of 186, 554, 431, 903
• GCD of 850, 369, 585, 487

Given numbers are 144, 561, 435, 810
The greatest common divisor of numbers 144, 561, 435, 810 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 144, 561, 435, 810 is 3.

1. What is the GCD of 144, 561, 435, 810?

GCD of given numbers 144, 561, 435, 810 is 3

2. How to calculate the greatest common divisor of 144, 561, 435, 810?

We can find the highest common divisor of 144, 561, 435, 810 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 144, 561, 435, 810 i.e 3.

3. How can I use the GCD of 144, 561, 435, 810Calculator?

Out the numbers 144, 561, 435, 810 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.