Online GCD Calculator is useful to find the GCD of 576, 249, 822, 369 quickly. Get the easiest ways to solve the greatest common divisor of 576, 249, 822, 369 i.e 3 in different methods as follows.
Given Input numbers are 576, 249, 822, 369
In the factoring method, we have to find the divisors of all numbers
Divisors of 576 :
The positive integer divisors of 576 that completely divides 576 are.
1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 64, 72, 96, 144, 192, 288, 576
Divisors of 249 :
The positive integer divisors of 249 that completely divides 249 are.
1, 3, 83, 249
Divisors of 822 :
The positive integer divisors of 822 that completely divides 822 are.
1, 2, 3, 6, 137, 274, 411, 822
Divisors of 369 :
The positive integer divisors of 369 that completely divides 369 are.
1, 3, 9, 41, 123, 369
GCD of numbers is the greatest common divisor
So, the GCD (576, 249, 822, 369) = 3.
Given numbers are 576, 249, 822, 369
The list of prime factors of all numbers are
Prime factors of 576 are 2 x 2 x 2 x 2 x 2 x 2 x 3 x 3
Prime factors of 249 are 3 x 83
Prime factors of 822 are 2 x 3 x 137
Prime factors of 369 are 3 x 3 x 41
The highest common occurrence is 31
Therefore, GCD of 576, 249, 822, 369 is 3.
Given numbers are 576, 249, 822, 369
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(576, 249) = 47808
GCD(576, 249) = ( 576 x 249 ) / 47808
= 576 / 249
= 576
Step2:
LCM(3, 822) = 822
GCD(3, 822) = ( 3 x 822 ) / 822
= 3 / 822
= 3
Step3:
LCM(3, 369) = 369
GCD(3, 369) = ( 3 x 369 ) / 369
= 3 / 369
= 3
So, Greatest Common Divisor of 576, 249, 822, 369 is 3
Here are some samples of GCD of Numbers calculations.
Given numbers are 576, 249, 822, 369
The greatest common divisor of numbers 576, 249, 822, 369 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 576, 249, 822, 369 is 3.
1. What is the GCD of 576, 249, 822, 369?
GCD of given numbers 576, 249, 822, 369 is 3
2. How to calculate the greatest common divisor of 576, 249, 822, 369?
We can find the highest common divisor of 576, 249, 822, 369 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 576, 249, 822, 369 i.e 3.
3. How can I use the GCD of 576, 249, 822, 369Calculator?
Out the numbers 576, 249, 822, 369 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.