Online GCD Calculator is useful to find the GCD of 429, 864, 489, 822 quickly. Get the easiest ways to solve the greatest common divisor of 429, 864, 489, 822 i.e 3 in different methods as follows.
Given Input numbers are 429, 864, 489, 822
In the factoring method, we have to find the divisors of all numbers
Divisors of 429 :
The positive integer divisors of 429 that completely divides 429 are.
1, 3, 11, 13, 33, 39, 143, 429
Divisors of 864 :
The positive integer divisors of 864 that completely divides 864 are.
1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 32, 36, 48, 54, 72, 96, 108, 144, 216, 288, 432, 864
Divisors of 489 :
The positive integer divisors of 489 that completely divides 489 are.
1, 3, 163, 489
Divisors of 822 :
The positive integer divisors of 822 that completely divides 822 are.
1, 2, 3, 6, 137, 274, 411, 822
GCD of numbers is the greatest common divisor
So, the GCD (429, 864, 489, 822) = 3.
Given numbers are 429, 864, 489, 822
The list of prime factors of all numbers are
Prime factors of 429 are 3 x 11 x 13
Prime factors of 864 are 2 x 2 x 2 x 2 x 2 x 3 x 3 x 3
Prime factors of 489 are 3 x 163
Prime factors of 822 are 2 x 3 x 137
The highest common occurrence is 31
Therefore, GCD of 429, 864, 489, 822 is 3.
Given numbers are 429, 864, 489, 822
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(429, 864) = 123552
GCD(429, 864) = ( 429 x 864 ) / 123552
= 429 / 864
= 429
Step2:
LCM(3, 489) = 489
GCD(3, 489) = ( 3 x 489 ) / 489
= 3 / 489
= 3
Step3:
LCM(3, 822) = 822
GCD(3, 822) = ( 3 x 822 ) / 822
= 3 / 822
= 3
So, Greatest Common Divisor of 429, 864, 489, 822 is 3
Here are some samples of GCD of Numbers calculations.
Given numbers are 429, 864, 489, 822
The greatest common divisor of numbers 429, 864, 489, 822 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 429, 864, 489, 822 is 3.
1. What is the GCD of 429, 864, 489, 822?
GCD of given numbers 429, 864, 489, 822 is 3
2. How to calculate the greatest common divisor of 429, 864, 489, 822?
We can find the highest common divisor of 429, 864, 489, 822 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 429, 864, 489, 822 i.e 3.
3. How can I use the GCD of 429, 864, 489, 822Calculator?
Out the numbers 429, 864, 489, 822 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.