GCD of 288, 621, 300, 141 Calculator

Given Input numbers are 288, 621, 300, 141

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

Divisors of 288 :

The positive integer divisors of 288 that completely divides 288 are.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 72, 96, 144, 288

Divisors of 621 :

The positive integer divisors of 621 that completely divides 621 are.

1, 3, 9, 23, 27, 69, 207, 621

Divisors of 300 :

The positive integer divisors of 300 that completely divides 300 are.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 25, 30, 50, 60, 75, 100, 150, 300

Divisors of 141 :

The positive integer divisors of 141 that completely divides 141 are.

1, 3, 47, 141

GCD of numbers is the greatest common divisor

So, the GCD (288, 621, 300, 141) = 3.

Given numbers are 288, 621, 300, 141

The list of prime factors of all numbers are

Prime factors of 288 are 2 x 2 x 2 x 2 x 2 x 3 x 3

Prime factors of 621 are 3 x 3 x 3 x 23

Prime factors of 300 are 2 x 2 x 3 x 5 x 5

Prime factors of 141 are 3 x 47

The highest common occurrence is 3¹

Therefore, GCD of 288, 621, 300, 141 is 3.

Given numbers are 288, 621, 300, 141

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

Apply this formula for all numbers.

Step1:

LCM(288, 621) = 19872

GCD(288, 621) = ( 288 x 621 ) / 19872

= 288 / 621

= 288

Step2:

LCM(9, 300) = 900

GCD(9, 300) = ( 9 x 300 ) / 900

= 9 / 300

= 9

Step3:

LCM(3, 141) = 141

GCD(3, 141) = ( 3 x 141 ) / 141

= 3 / 141

= 3

So, Greatest Common Divisor of 288, 621, 300, 141 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 233, 710, 972, 716
• GCD of 833, 203, 780, 415
• GCD of 577, 548, 916, 481
• GCD of 812, 345, 834, 215
• GCD of 308, 834, 705, 342

Given numbers are 288, 621, 300, 141
The greatest common divisor of numbers 288, 621, 300, 141 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 288, 621, 300, 141 is 3.

1. What is the GCD of 288, 621, 300, 141?

GCD of given numbers 288, 621, 300, 141 is 3

2. How to calculate the greatest common divisor of 288, 621, 300, 141?

We can find the highest common divisor of 288, 621, 300, 141 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 288, 621, 300, 141 i.e 3.

3. How can I use the GCD of 288, 621, 300, 141Calculator?

Out the numbers 288, 621, 300, 141 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.