GCD of 867, 336, 249 Calculator

Given Input numbers are 867, 336, 249

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

Divisors of 867 :

The positive integer divisors of 867 that completely divides 867 are.

1, 3, 17, 51, 289, 867

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 249 :

The positive integer divisors of 249 that completely divides 249 are.

1, 3, 83, 249

GCD of numbers is the greatest common divisor

So, the GCD (867, 336, 249) = 3.

Given numbers are 867, 336, 249

The list of prime factors of all numbers are

Prime factors of 867 are 3 x 17 x 17

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

Prime factors of 249 are 3 x 83

The highest common occurrence is 3¹

Therefore, GCD of 867, 336, 249 is 3.

Given numbers are 867, 336, 249

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

Apply this formula for all numbers.

Step1:

LCM(867, 336) = 97104

GCD(867, 336) = ( 867 x 336 ) / 97104

= 867 / 336

= 867

Step2:

LCM(3, 249) = 249

GCD(3, 249) = ( 3 x 249 ) / 249

= 3 / 249

= 3

So, Greatest Common Divisor of 867, 336, 249 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 641, 307, 421
• GCD of 448, 744, 730
• GCD of 565, 358, 492
• GCD of 366, 325, 922
• GCD of 474, 423, 357

Given numbers are 867, 336, 249
The greatest common divisor of numbers 867, 336, 249 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 867, 336, 249 is 3.

1. What is the GCD of 867, 336, 249?

GCD of given numbers 867, 336, 249 is 3

2. How to calculate the greatest common divisor of 867, 336, 249?

We can find the highest common divisor of 867, 336, 249 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 867, 336, 249 i.e 3.

3. How can I use the GCD of 867, 336, 249Calculator?

Out the numbers 867, 336, 249 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.