GCD of 249, 468, 300, 180 Calculator

Given Input numbers are 249, 468, 300, 180

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

Divisors of 249 :

The positive integer divisors of 249 that completely divides 249 are.

1, 3, 83, 249

Divisors of 468 :

The positive integer divisors of 468 that completely divides 468 are.

1, 2, 3, 4, 6, 9, 12, 13, 18, 26, 36, 39, 52, 78, 117, 156, 234, 468

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 180 :

The positive integer divisors of 180 that completely divides 180 are.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 90, 180

GCD of numbers is the greatest common divisor

So, the GCD (249, 468, 300, 180) = 3.

Given numbers are 249, 468, 300, 180

The list of prime factors of all numbers are

Prime factors of 249 are 3 x 83

Prime factors of 468 are 2 x 2 x 3 x 3 x 13

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

Prime factors of 180 are 2 x 2 x 3 x 3 x 5

The highest common occurrence is 3¹

Therefore, GCD of 249, 468, 300, 180 is 3.

Given numbers are 249, 468, 300, 180

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

Apply this formula for all numbers.

Step1:

LCM(249, 468) = 38844

GCD(249, 468) = ( 249 x 468 ) / 38844

= 249 / 468

= 249

Step2:

LCM(3, 300) = 300

GCD(3, 300) = ( 3 x 300 ) / 300

= 3 / 300

= 3

Step3:

LCM(3, 180) = 180

GCD(3, 180) = ( 3 x 180 ) / 180

= 3 / 180

= 3

So, Greatest Common Divisor of 249, 468, 300, 180 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 634, 453, 895, 788
• GCD of 875, 421, 261, 174
• GCD of 282, 737, 431, 930
• GCD of 647, 874, 348, 391
• GCD of 681, 135, 981, 550

Given numbers are 249, 468, 300, 180
The greatest common divisor of numbers 249, 468, 300, 180 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 249, 468, 300, 180 is 3.

1. What is the GCD of 249, 468, 300, 180?

GCD of given numbers 249, 468, 300, 180 is 3

2. How to calculate the greatest common divisor of 249, 468, 300, 180?

We can find the highest common divisor of 249, 468, 300, 180 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 249, 468, 300, 180 i.e 3.

3. How can I use the GCD of 249, 468, 300, 180Calculator?

Out the numbers 249, 468, 300, 180 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.