GCD of 225, 129, 198, 519 Calculator

Given Input numbers are 225, 129, 198, 519

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 129 :

The positive integer divisors of 129 that completely divides 129 are.

1, 3, 43, 129

Divisors of 198 :

The positive integer divisors of 198 that completely divides 198 are.

1, 2, 3, 6, 9, 11, 18, 22, 33, 66, 99, 198

Divisors of 519 :

The positive integer divisors of 519 that completely divides 519 are.

1, 3, 173, 519

GCD of numbers is the greatest common divisor

So, the GCD (225, 129, 198, 519) = 3.

Given numbers are 225, 129, 198, 519

The list of prime factors of all numbers are

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

Prime factors of 129 are 3 x 43

Prime factors of 198 are 2 x 3 x 3 x 11

Prime factors of 519 are 3 x 173

The highest common occurrence is 3¹

Therefore, GCD of 225, 129, 198, 519 is 3.

Given numbers are 225, 129, 198, 519

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

Apply this formula for all numbers.

Step1:

LCM(225, 129) = 9675

GCD(225, 129) = ( 225 x 129 ) / 9675

= 225 / 129

= 225

Step2:

LCM(3, 198) = 198

GCD(3, 198) = ( 3 x 198 ) / 198

= 3 / 198

= 3

Step3:

LCM(3, 519) = 519

GCD(3, 519) = ( 3 x 519 ) / 519

= 3 / 519

= 3

So, Greatest Common Divisor of 225, 129, 198, 519 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 454, 985, 492, 377
• GCD of 610, 429, 442, 141
• GCD of 664, 286, 644, 526
• GCD of 812, 378, 170, 626
• GCD of 400, 714, 354, 426

Given numbers are 225, 129, 198, 519
The greatest common divisor of numbers 225, 129, 198, 519 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 225, 129, 198, 519 is 3.

1. What is the GCD of 225, 129, 198, 519?

GCD of given numbers 225, 129, 198, 519 is 3

2. How to calculate the greatest common divisor of 225, 129, 198, 519?

We can find the highest common divisor of 225, 129, 198, 519 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, 129, 198, 519 i.e 3.

3. How can I use the GCD of 225, 129, 198, 519Calculator?

Out the numbers 225, 129, 198, 519 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.