Online GCD Calculator is useful to find the GCD of 936, 108, 987, 939 quickly. Get the easiest ways to solve the greatest common divisor of 936, 108, 987, 939 i.e 3 in different methods as follows.
Given Input numbers are 936, 108, 987, 939
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 108 :
The positive integer divisors of 108 that completely divides 108 are.
1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 108
Divisors of 987 :
The positive integer divisors of 987 that completely divides 987 are.
1, 3, 7, 21, 47, 141, 329, 987
Divisors of 939 :
The positive integer divisors of 939 that completely divides 939 are.
1, 3, 313, 939
GCD of numbers is the greatest common divisor
So, the GCD (936, 108, 987, 939) = 3.
Given numbers are 936, 108, 987, 939
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 108 are 2 x 2 x 3 x 3 x 3
Prime factors of 987 are 3 x 7 x 47
Prime factors of 939 are 3 x 313
The highest common occurrence is 31
Therefore, GCD of 936, 108, 987, 939 is 3.
Given numbers are 936, 108, 987, 939
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(936, 108) = 2808
GCD(936, 108) = ( 936 x 108 ) / 2808
= 936 / 108
= 936
Step2:
LCM(36, 987) = 11844
GCD(36, 987) = ( 36 x 987 ) / 11844
= 36 / 987
= 36
Step3:
LCM(3, 939) = 939
GCD(3, 939) = ( 3 x 939 ) / 939
= 3 / 939
= 3
So, Greatest Common Divisor of 936, 108, 987, 939 is 3
Here are some samples of GCD of Numbers calculations.
Given numbers are 936, 108, 987, 939
The greatest common divisor of numbers 936, 108, 987, 939 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 936, 108, 987, 939 is 3.
1. What is the GCD of 936, 108, 987, 939?
GCD of given numbers 936, 108, 987, 939 is 3
2. How to calculate the greatest common divisor of 936, 108, 987, 939?
We can find the highest common divisor of 936, 108, 987, 939 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, 108, 987, 939 i.e 3.
3. How can I use the GCD of 936, 108, 987, 939Calculator?
Out the numbers 936, 108, 987, 939 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.