GCD of 225, 209, 538, 306 Calculator

Given Input numbers are 225, 209, 538, 306

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 209 :

The positive integer divisors of 209 that completely divides 209 are.

1, 11, 19, 209

Divisors of 538 :

The positive integer divisors of 538 that completely divides 538 are.

1, 2, 269, 538

Divisors of 306 :

The positive integer divisors of 306 that completely divides 306 are.

1, 2, 3, 6, 9, 17, 18, 34, 51, 102, 153, 306

GCD of numbers is the greatest common divisor

So, the GCD (225, 209, 538, 306) = 1.

Given numbers are 225, 209, 538, 306

The list of prime factors of all numbers are

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

Prime factors of 209 are 11 x 19

Prime factors of 538 are 2 x 269

Prime factors of 306 are 2 x 3 x 3 x 17

The above numbers do not have any common prime factor. So GCD is 1

Given numbers are 225, 209, 538, 306

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

Apply this formula for all numbers.

Step1:

LCM(225, 209) = 47025

GCD(225, 209) = ( 225 x 209 ) / 47025

= 225 / 209

= 225

Step2:

LCM(1, 538) = 538

GCD(1, 538) = ( 1 x 538 ) / 538

= 1 / 538

= 1

Step3:

LCM(1, 306) = 306

GCD(1, 306) = ( 1 x 306 ) / 306

= 1 / 306

= 1

So, Greatest Common Divisor of 225, 209, 538, 306 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 472, 874, 553, 244
• GCD of 978, 766, 510, 535
• GCD of 232, 843, 765, 578
• GCD of 846, 743, 120, 829
• GCD of 415, 802, 857, 748

Given numbers are 225, 209, 538, 306
The greatest common divisor of numbers 225, 209, 538, 306 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 225, 209, 538, 306 is 1.

1. What is the GCD of 225, 209, 538, 306?

GCD of given numbers 225, 209, 538, 306 is 1

2. How to calculate the greatest common divisor of 225, 209, 538, 306?

We can find the highest common divisor of 225, 209, 538, 306 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, 209, 538, 306 i.e 1.

3. How can I use the GCD of 225, 209, 538, 306Calculator?

Out the numbers 225, 209, 538, 306 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.