Online GCD Calculator is useful to find the GCD of 120, 966, 693, 861 quickly. Get the easiest ways to solve the greatest common divisor of 120, 966, 693, 861 i.e 3 in different methods as follows.
Given Input numbers are 120, 966, 693, 861
In the factoring method, we have to find the divisors of all numbers
Divisors of 120 :
The positive integer divisors of 120 that completely divides 120 are.
1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120
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 693 :
The positive integer divisors of 693 that completely divides 693 are.
1, 3, 7, 9, 11, 21, 33, 63, 77, 99, 231, 693
Divisors of 861 :
The positive integer divisors of 861 that completely divides 861 are.
1, 3, 7, 21, 41, 123, 287, 861
GCD of numbers is the greatest common divisor
So, the GCD (120, 966, 693, 861) = 3.
Given numbers are 120, 966, 693, 861
The list of prime factors of all numbers are
Prime factors of 120 are 2 x 2 x 2 x 3 x 5
Prime factors of 966 are 2 x 3 x 7 x 23
Prime factors of 693 are 3 x 3 x 7 x 11
Prime factors of 861 are 3 x 7 x 41
The highest common occurrence is 31
Therefore, GCD of 120, 966, 693, 861 is 3.
Given numbers are 120, 966, 693, 861
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(120, 966) = 19320
GCD(120, 966) = ( 120 x 966 ) / 19320
= 120 / 966
= 120
Step2:
LCM(6, 693) = 1386
GCD(6, 693) = ( 6 x 693 ) / 1386
= 6 / 693
= 6
Step3:
LCM(3, 861) = 861
GCD(3, 861) = ( 3 x 861 ) / 861
= 3 / 861
= 3
So, Greatest Common Divisor of 120, 966, 693, 861 is 3
Here are some samples of GCD of Numbers calculations.
Given numbers are 120, 966, 693, 861
The greatest common divisor of numbers 120, 966, 693, 861 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 120, 966, 693, 861 is 3.
1. What is the GCD of 120, 966, 693, 861?
GCD of given numbers 120, 966, 693, 861 is 3
2. How to calculate the greatest common divisor of 120, 966, 693, 861?
We can find the highest common divisor of 120, 966, 693, 861 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 120, 966, 693, 861 i.e 3.
3. How can I use the GCD of 120, 966, 693, 861Calculator?
Out the numbers 120, 966, 693, 861 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.