Online GCD Calculator is useful to find the GCD of 999, 294, 369, 252 quickly. Get the easiest ways to solve the greatest common divisor of 999, 294, 369, 252 i.e 3 in different methods as follows.
Given Input numbers are 999, 294, 369, 252
In the factoring method, we have to find the divisors of all numbers
Divisors of 999 :
The positive integer divisors of 999 that completely divides 999 are.
1, 3, 9, 27, 37, 111, 333, 999
Divisors of 294 :
The positive integer divisors of 294 that completely divides 294 are.
1, 2, 3, 6, 7, 14, 21, 42, 49, 98, 147, 294
Divisors of 369 :
The positive integer divisors of 369 that completely divides 369 are.
1, 3, 9, 41, 123, 369
Divisors of 252 :
The positive integer divisors of 252 that completely divides 252 are.
1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 28, 36, 42, 63, 84, 126, 252
GCD of numbers is the greatest common divisor
So, the GCD (999, 294, 369, 252) = 3.
Given numbers are 999, 294, 369, 252
The list of prime factors of all numbers are
Prime factors of 999 are 3 x 3 x 3 x 37
Prime factors of 294 are 2 x 3 x 7 x 7
Prime factors of 369 are 3 x 3 x 41
Prime factors of 252 are 2 x 2 x 3 x 3 x 7
The highest common occurrence is 31
Therefore, GCD of 999, 294, 369, 252 is 3.
Given numbers are 999, 294, 369, 252
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(999, 294) = 97902
GCD(999, 294) = ( 999 x 294 ) / 97902
= 999 / 294
= 999
Step2:
LCM(3, 369) = 369
GCD(3, 369) = ( 3 x 369 ) / 369
= 3 / 369
= 3
Step3:
LCM(3, 252) = 252
GCD(3, 252) = ( 3 x 252 ) / 252
= 3 / 252
= 3
So, Greatest Common Divisor of 999, 294, 369, 252 is 3
Here are some samples of GCD of Numbers calculations.
Given numbers are 999, 294, 369, 252
The greatest common divisor of numbers 999, 294, 369, 252 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 999, 294, 369, 252 is 3.
1. What is the GCD of 999, 294, 369, 252?
GCD of given numbers 999, 294, 369, 252 is 3
2. How to calculate the greatest common divisor of 999, 294, 369, 252?
We can find the highest common divisor of 999, 294, 369, 252 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 999, 294, 369, 252 i.e 3.
3. How can I use the GCD of 999, 294, 369, 252Calculator?
Out the numbers 999, 294, 369, 252 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.