GCD of 225, 384, 315, 102 Calculator

Given Input numbers are 225, 384, 315, 102

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 384 :

The positive integer divisors of 384 that completely divides 384 are.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 384

Divisors of 315 :

The positive integer divisors of 315 that completely divides 315 are.

1, 3, 5, 7, 9, 15, 21, 35, 45, 63, 105, 315

Divisors of 102 :

The positive integer divisors of 102 that completely divides 102 are.

1, 2, 3, 6, 17, 34, 51, 102

GCD of numbers is the greatest common divisor

So, the GCD (225, 384, 315, 102) = 3.

Given numbers are 225, 384, 315, 102

The list of prime factors of all numbers are

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

Prime factors of 384 are 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3

Prime factors of 315 are 3 x 3 x 5 x 7

Prime factors of 102 are 2 x 3 x 17

The highest common occurrence is 3¹

Therefore, GCD of 225, 384, 315, 102 is 3.

Given numbers are 225, 384, 315, 102

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

Apply this formula for all numbers.

Step1:

LCM(225, 384) = 28800

GCD(225, 384) = ( 225 x 384 ) / 28800

= 225 / 384

= 225

Step2:

LCM(3, 315) = 315

GCD(3, 315) = ( 3 x 315 ) / 315

= 3 / 315

= 3

Step3:

LCM(3, 102) = 102

GCD(3, 102) = ( 3 x 102 ) / 102

= 3 / 102

= 3

So, Greatest Common Divisor of 225, 384, 315, 102 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 724, 865, 878, 803
• GCD of 608, 987, 538, 887
• GCD of 163, 916, 141, 514
• GCD of 375, 493, 862, 341
• GCD of 621, 643, 248, 378

Given numbers are 225, 384, 315, 102
The greatest common divisor of numbers 225, 384, 315, 102 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 225, 384, 315, 102 is 3.

1. What is the GCD of 225, 384, 315, 102?

GCD of given numbers 225, 384, 315, 102 is 3

2. How to calculate the greatest common divisor of 225, 384, 315, 102?

We can find the highest common divisor of 225, 384, 315, 102 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, 384, 315, 102 i.e 3.

3. How can I use the GCD of 225, 384, 315, 102Calculator?

Out the numbers 225, 384, 315, 102 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.