Online GCD Calculator is useful to find the GCD of 861, 966, 963 quickly. Get the easiest ways to solve the greatest common divisor of 861, 966, 963 i.e 3 in different methods as follows.
Given Input numbers are 861, 966, 963
In the factoring method, we have to find the divisors of all numbers
Divisors of 861 :
The positive integer divisors of 861 that completely divides 861 are.
1, 3, 7, 21, 41, 123, 287, 861
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 963 :
The positive integer divisors of 963 that completely divides 963 are.
1, 3, 9, 107, 321, 963
GCD of numbers is the greatest common divisor
So, the GCD (861, 966, 963) = 3.
Given numbers are 861, 966, 963
The list of prime factors of all numbers are
Prime factors of 861 are 3 x 7 x 41
Prime factors of 966 are 2 x 3 x 7 x 23
Prime factors of 963 are 3 x 3 x 107
The highest common occurrence is 31
Therefore, GCD of 861, 966, 963 is 3.
Given numbers are 861, 966, 963
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(861, 966) = 39606
GCD(861, 966) = ( 861 x 966 ) / 39606
= 861 / 966
= 861
Step2:
LCM(21, 963) = 6741
GCD(21, 963) = ( 21 x 963 ) / 6741
= 21 / 963
= 21
So, Greatest Common Divisor of 861, 966, 963 is 3
Here are some samples of GCD of Numbers calculations.
Given numbers are 861, 966, 963
The greatest common divisor of numbers 861, 966, 963 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 861, 966, 963 is 3.
1. What is the GCD of 861, 966, 963?
GCD of given numbers 861, 966, 963 is 3
2. How to calculate the greatest common divisor of 861, 966, 963?
We can find the highest common divisor of 861, 966, 963 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 861, 966, 963 i.e 3.
3. How can I use the GCD of 861, 966, 963Calculator?
Out the numbers 861, 966, 963 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.