Online GCD Calculator is useful to find the GCD of 936, 966, 381, 282 quickly. Get the easiest ways to solve the greatest common divisor of 936, 966, 381, 282 i.e 3 in different methods as follows.
Given Input numbers are 936, 966, 381, 282
In the factoring method, we have to find the divisors of all numbers
Divisors of 936 :
The positive integer divisors of 936 that completely divides 936 are.
1, 2, 3, 4, 6, 8, 9, 12, 13, 18, 24, 26, 36, 39, 52, 72, 78, 104, 117, 156, 234, 312, 468, 936
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 381 :
The positive integer divisors of 381 that completely divides 381 are.
1, 3, 127, 381
Divisors of 282 :
The positive integer divisors of 282 that completely divides 282 are.
1, 2, 3, 6, 47, 94, 141, 282
GCD of numbers is the greatest common divisor
So, the GCD (936, 966, 381, 282) = 3.
Given numbers are 936, 966, 381, 282
The list of prime factors of all numbers are
Prime factors of 936 are 2 x 2 x 2 x 3 x 3 x 13
Prime factors of 966 are 2 x 3 x 7 x 23
Prime factors of 381 are 3 x 127
Prime factors of 282 are 2 x 3 x 47
The highest common occurrence is 31
Therefore, GCD of 936, 966, 381, 282 is 3.
Given numbers are 936, 966, 381, 282
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(936, 966) = 150696
GCD(936, 966) = ( 936 x 966 ) / 150696
= 936 / 966
= 936
Step2:
LCM(6, 381) = 762
GCD(6, 381) = ( 6 x 381 ) / 762
= 6 / 381
= 6
Step3:
LCM(3, 282) = 282
GCD(3, 282) = ( 3 x 282 ) / 282
= 3 / 282
= 3
So, Greatest Common Divisor of 936, 966, 381, 282 is 3
Here are some samples of GCD of Numbers calculations.
Given numbers are 936, 966, 381, 282
The greatest common divisor of numbers 936, 966, 381, 282 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 936, 966, 381, 282 is 3.
1. What is the GCD of 936, 966, 381, 282?
GCD of given numbers 936, 966, 381, 282 is 3
2. How to calculate the greatest common divisor of 936, 966, 381, 282?
We can find the highest common divisor of 936, 966, 381, 282 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 936, 966, 381, 282 i.e 3.
3. How can I use the GCD of 936, 966, 381, 282Calculator?
Out the numbers 936, 966, 381, 282 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.