GCD of 447, 315, 828, 624 Calculator

Given Input numbers are 447, 315, 828, 624

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

Divisors of 447 :

The positive integer divisors of 447 that completely divides 447 are.

1, 3, 149, 447

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 828 :

The positive integer divisors of 828 that completely divides 828 are.

1, 2, 3, 4, 6, 9, 12, 18, 23, 36, 46, 69, 92, 138, 207, 276, 414, 828

Divisors of 624 :

The positive integer divisors of 624 that completely divides 624 are.

1, 2, 3, 4, 6, 8, 12, 13, 16, 24, 26, 39, 48, 52, 78, 104, 156, 208, 312, 624

GCD of numbers is the greatest common divisor

So, the GCD (447, 315, 828, 624) = 3.

Given numbers are 447, 315, 828, 624

The list of prime factors of all numbers are

Prime factors of 447 are 3 x 149

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

Prime factors of 828 are 2 x 2 x 3 x 3 x 23

Prime factors of 624 are 2 x 2 x 2 x 2 x 3 x 13

The highest common occurrence is 3¹

Therefore, GCD of 447, 315, 828, 624 is 3.

Given numbers are 447, 315, 828, 624

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

Apply this formula for all numbers.

Step1:

LCM(447, 315) = 46935

GCD(447, 315) = ( 447 x 315 ) / 46935

= 447 / 315

= 447

Step2:

LCM(3, 828) = 828

GCD(3, 828) = ( 3 x 828 ) / 828

= 3 / 828

= 3

Step3:

LCM(3, 624) = 624

GCD(3, 624) = ( 3 x 624 ) / 624

= 3 / 624

= 3

So, Greatest Common Divisor of 447, 315, 828, 624 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 109, 975, 615, 829
• GCD of 684, 269, 404, 337
• GCD of 199, 283, 514, 175
• GCD of 884, 858, 569, 338
• GCD of 617, 410, 266, 722

Given numbers are 447, 315, 828, 624
The greatest common divisor of numbers 447, 315, 828, 624 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 447, 315, 828, 624 is 3.

1. What is the GCD of 447, 315, 828, 624?

GCD of given numbers 447, 315, 828, 624 is 3

2. How to calculate the greatest common divisor of 447, 315, 828, 624?

We can find the highest common divisor of 447, 315, 828, 624 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 447, 315, 828, 624 i.e 3.

3. How can I use the GCD of 447, 315, 828, 624Calculator?

Out the numbers 447, 315, 828, 624 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.