GCD of 336, 909, 564 Calculator

Given Input numbers are 336, 909, 564

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

Divisors of 336 :

The positive integer divisors of 336 that completely divides 336 are.

1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 42, 48, 56, 84, 112, 168, 336

Divisors of 909 :

The positive integer divisors of 909 that completely divides 909 are.

1, 3, 9, 101, 303, 909

Divisors of 564 :

The positive integer divisors of 564 that completely divides 564 are.

1, 2, 3, 4, 6, 12, 47, 94, 141, 188, 282, 564

GCD of numbers is the greatest common divisor

So, the GCD (336, 909, 564) = 3.

Given numbers are 336, 909, 564

The list of prime factors of all numbers are

Prime factors of 336 are 2 x 2 x 2 x 2 x 3 x 7

Prime factors of 909 are 3 x 3 x 101

Prime factors of 564 are 2 x 2 x 3 x 47

The highest common occurrence is 3¹

Therefore, GCD of 336, 909, 564 is 3.

Given numbers are 336, 909, 564

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

Apply this formula for all numbers.

Step1:

LCM(336, 909) = 101808

GCD(336, 909) = ( 336 x 909 ) / 101808

= 336 / 909

= 336

Step2:

LCM(3, 564) = 564

GCD(3, 564) = ( 3 x 564 ) / 564

= 3 / 564

= 3

So, Greatest Common Divisor of 336, 909, 564 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 884, 860, 611
• GCD of 413, 741, 286
• GCD of 484, 434, 125
• GCD of 943, 217, 285
• GCD of 866, 728, 551

Given numbers are 336, 909, 564
The greatest common divisor of numbers 336, 909, 564 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 336, 909, 564 is 3.

1. What is the GCD of 336, 909, 564?

GCD of given numbers 336, 909, 564 is 3

2. How to calculate the greatest common divisor of 336, 909, 564?

We can find the highest common divisor of 336, 909, 564 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 336, 909, 564 i.e 3.

3. How can I use the GCD of 336, 909, 564Calculator?

Out the numbers 336, 909, 564 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.