GCD of 441, 315, 468 Calculator

Given Input numbers are 441, 315, 468

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

Divisors of 441 :

The positive integer divisors of 441 that completely divides 441 are.

1, 3, 7, 9, 21, 49, 63, 147, 441

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 468 :

The positive integer divisors of 468 that completely divides 468 are.

1, 2, 3, 4, 6, 9, 12, 13, 18, 26, 36, 39, 52, 78, 117, 156, 234, 468

GCD of numbers is the greatest common divisor

So, the GCD (441, 315, 468) = 9.

Given numbers are 441, 315, 468

The list of prime factors of all numbers are

Prime factors of 441 are 3 x 3 x 7 x 7

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

Prime factors of 468 are 2 x 2 x 3 x 3 x 13

The highest common occurrence is 3²

Therefore, GCD of 441, 315, 468 is 9.

Given numbers are 441, 315, 468

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

Apply this formula for all numbers.

Step1:

LCM(441, 315) = 2205

GCD(441, 315) = ( 441 x 315 ) / 2205

= 441 / 315

= 441

Step2:

LCM(63, 468) = 3276

GCD(63, 468) = ( 63 x 468 ) / 3276

= 63 / 468

= 63

So, Greatest Common Divisor of 441, 315, 468 is 9

Here are some samples of GCD of Numbers calculations.

• GCD of 707, 693, 320
• GCD of 612, 885, 369
• GCD of 306, 387, 573
• GCD of 991, 452, 303
• GCD of 403, 188, 939

Given numbers are 441, 315, 468
The greatest common divisor of numbers 441, 315, 468 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 441, 315, 468 is 9.

1. What is the GCD of 441, 315, 468?

GCD of given numbers 441, 315, 468 is 9

2. How to calculate the greatest common divisor of 441, 315, 468?

We can find the highest common divisor of 441, 315, 468 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 441, 315, 468 i.e 9.

3. How can I use the GCD of 441, 315, 468Calculator?

Out the numbers 441, 315, 468 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.