GCD of 816, 609, 429, 249 Calculator

Given Input numbers are 816, 609, 429, 249

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

Divisors of 816 :

The positive integer divisors of 816 that completely divides 816 are.

1, 2, 3, 4, 6, 8, 12, 16, 17, 24, 34, 48, 51, 68, 102, 136, 204, 272, 408, 816

Divisors of 609 :

The positive integer divisors of 609 that completely divides 609 are.

1, 3, 7, 21, 29, 87, 203, 609

Divisors of 429 :

The positive integer divisors of 429 that completely divides 429 are.

1, 3, 11, 13, 33, 39, 143, 429

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 (816, 609, 429, 249) = 3.

Given numbers are 816, 609, 429, 249

The list of prime factors of all numbers are

Prime factors of 816 are 2 x 2 x 2 x 2 x 3 x 17

Prime factors of 609 are 3 x 7 x 29

Prime factors of 429 are 3 x 11 x 13

Prime factors of 249 are 3 x 83

The highest common occurrence is 3¹

Therefore, GCD of 816, 609, 429, 249 is 3.

Given numbers are 816, 609, 429, 249

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

Apply this formula for all numbers.

Step1:

LCM(816, 609) = 165648

GCD(816, 609) = ( 816 x 609 ) / 165648

= 816 / 609

= 816

Step2:

LCM(3, 429) = 429

GCD(3, 429) = ( 3 x 429 ) / 429

= 3 / 429

= 3

Step3:

LCM(3, 249) = 249

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

= 3 / 249

= 3

So, Greatest Common Divisor of 816, 609, 429, 249 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 187, 399, 243, 961
• GCD of 449, 638, 762, 902
• GCD of 745, 812, 700, 976
• GCD of 695, 666, 664, 911
• GCD of 728, 947, 695, 321

Given numbers are 816, 609, 429, 249
The greatest common divisor of numbers 816, 609, 429, 249 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 816, 609, 429, 249 is 3.

1. What is the GCD of 816, 609, 429, 249?

GCD of given numbers 816, 609, 429, 249 is 3

2. How to calculate the greatest common divisor of 816, 609, 429, 249?

We can find the highest common divisor of 816, 609, 429, 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 816, 609, 429, 249 i.e 3.

3. How can I use the GCD of 816, 609, 429, 249Calculator?

Out the numbers 816, 609, 429, 249 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.