Online GCD Calculator is useful to find the GCD of 124, 396, 966, 882 quickly. Get the easiest ways to solve the greatest common divisor of 124, 396, 966, 882 i.e 2 in different methods as follows.
Given Input numbers are 124, 396, 966, 882
In the factoring method, we have to find the divisors of all numbers
Divisors of 124 :
The positive integer divisors of 124 that completely divides 124 are.
1, 2, 4, 31, 62, 124
Divisors of 396 :
The positive integer divisors of 396 that completely divides 396 are.
1, 2, 3, 4, 6, 9, 11, 12, 18, 22, 33, 36, 44, 66, 99, 132, 198, 396
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
GCD of numbers is the greatest common divisor
So, the GCD (124, 396, 966, 882) = 2.
Given numbers are 124, 396, 966, 882
The list of prime factors of all numbers are
Prime factors of 124 are 2 x 2 x 31
Prime factors of 396 are 2 x 2 x 3 x 3 x 11
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
The highest common occurrence is 21
Therefore, GCD of 124, 396, 966, 882 is 2.
Given numbers are 124, 396, 966, 882
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(124, 396) = 12276
GCD(124, 396) = ( 124 x 396 ) / 12276
= 124 / 396
= 124
Step2:
LCM(4, 966) = 1932
GCD(4, 966) = ( 4 x 966 ) / 1932
= 4 / 966
= 4
Step3:
LCM(2, 882) = 882
GCD(2, 882) = ( 2 x 882 ) / 882
= 2 / 882
= 2
So, Greatest Common Divisor of 124, 396, 966, 882 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 124, 396, 966, 882
The greatest common divisor of numbers 124, 396, 966, 882 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 124, 396, 966, 882 is 2.
1. What is the GCD of 124, 396, 966, 882?
GCD of given numbers 124, 396, 966, 882 is 2
2. How to calculate the greatest common divisor of 124, 396, 966, 882?
We can find the highest common divisor of 124, 396, 966, 882 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 124, 396, 966, 882 i.e 2.
3. How can I use the GCD of 124, 396, 966, 882Calculator?
Out the numbers 124, 396, 966, 882 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.