Online GCD Calculator is useful to find the GCD of 576, 966, 882, 150 quickly. Get the easiest ways to solve the greatest common divisor of 576, 966, 882, 150 i.e 6 in different methods as follows.
Given Input numbers are 576, 966, 882, 150
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 966 :
The positive integer divisors of 966 that completely divides 966 are.
1, 2, 3, 6, 7, 14, 21, 23, 42, 46, 69, 138, 161, 322, 483, 966
Divisors of 882 :
The positive integer divisors of 882 that completely divides 882 are.
1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 49, 63, 98, 126, 147, 294, 441, 882
Divisors of 150 :
The positive integer divisors of 150 that completely divides 150 are.
1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 150
GCD of numbers is the greatest common divisor
So, the GCD (576, 966, 882, 150) = 6.
Given numbers are 576, 966, 882, 150
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 966 are 2 x 3 x 7 x 23
Prime factors of 882 are 2 x 3 x 3 x 7 x 7
Prime factors of 150 are 2 x 3 x 5 x 5
The highest common occurrence is 21 x 31
Therefore, GCD of 576, 966, 882, 150 is 6.
Given numbers are 576, 966, 882, 150
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(576, 966) = 92736
GCD(576, 966) = ( 576 x 966 ) / 92736
= 576 / 966
= 576
Step2:
LCM(6, 882) = 882
GCD(6, 882) = ( 6 x 882 ) / 882
= 6 / 882
= 6
Step3:
LCM(6, 150) = 150
GCD(6, 150) = ( 6 x 150 ) / 150
= 6 / 150
= 6
So, Greatest Common Divisor of 576, 966, 882, 150 is 6
Here are some samples of GCD of Numbers calculations.
Given numbers are 576, 966, 882, 150
The greatest common divisor of numbers 576, 966, 882, 150 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 576, 966, 882, 150 is 6.
1. What is the GCD of 576, 966, 882, 150?
GCD of given numbers 576, 966, 882, 150 is 6
2. How to calculate the greatest common divisor of 576, 966, 882, 150?
We can find the highest common divisor of 576, 966, 882, 150 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, 966, 882, 150 i.e 6.
3. How can I use the GCD of 576, 966, 882, 150Calculator?
Out the numbers 576, 966, 882, 150 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.