GCD of 309, 249, 225 Calculator

Given Input numbers are 309, 249, 225

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

Divisors of 309 :

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

1, 3, 103, 309

Divisors of 249 :

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

1, 3, 83, 249

Divisors of 225 :

The positive integer divisors of 225 that completely divides 225 are.

1, 3, 5, 9, 15, 25, 45, 75, 225

GCD of numbers is the greatest common divisor

So, the GCD (309, 249, 225) = 3.

Given numbers are 309, 249, 225

The list of prime factors of all numbers are

Prime factors of 309 are 3 x 103

Prime factors of 249 are 3 x 83

Prime factors of 225 are 3 x 3 x 5 x 5

The highest common occurrence is 3¹

Therefore, GCD of 309, 249, 225 is 3.

Given numbers are 309, 249, 225

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

Apply this formula for all numbers.

Step1:

LCM(309, 249) = 25647

GCD(309, 249) = ( 309 x 249 ) / 25647

= 309 / 249

= 309

Step2:

LCM(3, 225) = 225

GCD(3, 225) = ( 3 x 225 ) / 225

= 3 / 225

= 3

So, Greatest Common Divisor of 309, 249, 225 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 294, 110, 894
• GCD of 740, 772, 844
• GCD of 113, 897, 781
• GCD of 171, 395, 222
• GCD of 555, 164, 581

Given numbers are 309, 249, 225
The greatest common divisor of numbers 309, 249, 225 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 309, 249, 225 is 3.

1. What is the GCD of 309, 249, 225?

GCD of given numbers 309, 249, 225 is 3

2. How to calculate the greatest common divisor of 309, 249, 225?

We can find the highest common divisor of 309, 249, 225 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 309, 249, 225 i.e 3.

3. How can I use the GCD of 309, 249, 225Calculator?

Out the numbers 309, 249, 225 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.