Online GCD Calculator is useful to find the GCD of 966, 200, 940, 182 quickly. Get the easiest ways to solve the greatest common divisor of 966, 200, 940, 182 i.e 2 in different methods as follows.
Given Input numbers are 966, 200, 940, 182
In the factoring method, we have to find the divisors of all numbers
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 200 :
The positive integer divisors of 200 that completely divides 200 are.
1, 2, 4, 5, 8, 10, 20, 25, 40, 50, 100, 200
Divisors of 940 :
The positive integer divisors of 940 that completely divides 940 are.
1, 2, 4, 5, 10, 20, 47, 94, 188, 235, 470, 940
Divisors of 182 :
The positive integer divisors of 182 that completely divides 182 are.
1, 2, 7, 13, 14, 26, 91, 182
GCD of numbers is the greatest common divisor
So, the GCD (966, 200, 940, 182) = 2.
Given numbers are 966, 200, 940, 182
The list of prime factors of all numbers are
Prime factors of 966 are 2 x 3 x 7 x 23
Prime factors of 200 are 2 x 2 x 2 x 5 x 5
Prime factors of 940 are 2 x 2 x 5 x 47
Prime factors of 182 are 2 x 7 x 13
The highest common occurrence is 21
Therefore, GCD of 966, 200, 940, 182 is 2.
Given numbers are 966, 200, 940, 182
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(966, 200) = 96600
GCD(966, 200) = ( 966 x 200 ) / 96600
= 966 / 200
= 966
Step2:
LCM(2, 940) = 940
GCD(2, 940) = ( 2 x 940 ) / 940
= 2 / 940
= 2
Step3:
LCM(2, 182) = 182
GCD(2, 182) = ( 2 x 182 ) / 182
= 2 / 182
= 2
So, Greatest Common Divisor of 966, 200, 940, 182 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 966, 200, 940, 182
The greatest common divisor of numbers 966, 200, 940, 182 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 966, 200, 940, 182 is 2.
1. What is the GCD of 966, 200, 940, 182?
GCD of given numbers 966, 200, 940, 182 is 2
2. How to calculate the greatest common divisor of 966, 200, 940, 182?
We can find the highest common divisor of 966, 200, 940, 182 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 966, 200, 940, 182 i.e 2.
3. How can I use the GCD of 966, 200, 940, 182Calculator?
Out the numbers 966, 200, 940, 182 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.