GCD of 225, 309, 456 Calculator

Given Input numbers are 225, 309, 456

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

Divisors of 225 :

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

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

Divisors of 309 :

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

1, 3, 103, 309

Divisors of 456 :

The positive integer divisors of 456 that completely divides 456 are.

1, 2, 3, 4, 6, 8, 12, 19, 24, 38, 57, 76, 114, 152, 228, 456

GCD of numbers is the greatest common divisor

So, the GCD (225, 309, 456) = 3.

Given numbers are 225, 309, 456

The list of prime factors of all numbers are

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

Prime factors of 309 are 3 x 103

Prime factors of 456 are 2 x 2 x 2 x 3 x 19

The highest common occurrence is 3¹

Therefore, GCD of 225, 309, 456 is 3.

Given numbers are 225, 309, 456

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

Apply this formula for all numbers.

Step1:

LCM(225, 309) = 23175

GCD(225, 309) = ( 225 x 309 ) / 23175

= 225 / 309

= 225

Step2:

LCM(3, 456) = 456

GCD(3, 456) = ( 3 x 456 ) / 456

= 3 / 456

= 3

So, Greatest Common Divisor of 225, 309, 456 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 256, 479, 455
• GCD of 832, 427, 346
• GCD of 393, 179, 285
• GCD of 400, 198, 980
• GCD of 750, 446, 757

Given numbers are 225, 309, 456
The greatest common divisor of numbers 225, 309, 456 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 225, 309, 456 is 3.

1. What is the GCD of 225, 309, 456?

GCD of given numbers 225, 309, 456 is 3

2. How to calculate the greatest common divisor of 225, 309, 456?

We can find the highest common divisor of 225, 309, 456 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 225, 309, 456 i.e 3.

3. How can I use the GCD of 225, 309, 456Calculator?

Out the numbers 225, 309, 456 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.