Online GCD Calculator is useful to find the GCD of 966, 330, 142, 140 quickly. Get the easiest ways to solve the greatest common divisor of 966, 330, 142, 140 i.e 2 in different methods as follows.
Given Input numbers are 966, 330, 142, 140
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 330 :
The positive integer divisors of 330 that completely divides 330 are.
1, 2, 3, 5, 6, 10, 11, 15, 22, 30, 33, 55, 66, 110, 165, 330
Divisors of 142 :
The positive integer divisors of 142 that completely divides 142 are.
1, 2, 71, 142
Divisors of 140 :
The positive integer divisors of 140 that completely divides 140 are.
1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 70, 140
GCD of numbers is the greatest common divisor
So, the GCD (966, 330, 142, 140) = 2.
Given numbers are 966, 330, 142, 140
The list of prime factors of all numbers are
Prime factors of 966 are 2 x 3 x 7 x 23
Prime factors of 330 are 2 x 3 x 5 x 11
Prime factors of 142 are 2 x 71
Prime factors of 140 are 2 x 2 x 5 x 7
The highest common occurrence is 21
Therefore, GCD of 966, 330, 142, 140 is 2.
Given numbers are 966, 330, 142, 140
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(966, 330) = 53130
GCD(966, 330) = ( 966 x 330 ) / 53130
= 966 / 330
= 966
Step2:
LCM(6, 142) = 426
GCD(6, 142) = ( 6 x 142 ) / 426
= 6 / 142
= 6
Step3:
LCM(2, 140) = 140
GCD(2, 140) = ( 2 x 140 ) / 140
= 2 / 140
= 2
So, Greatest Common Divisor of 966, 330, 142, 140 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 966, 330, 142, 140
The greatest common divisor of numbers 966, 330, 142, 140 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 966, 330, 142, 140 is 2.
1. What is the GCD of 966, 330, 142, 140?
GCD of given numbers 966, 330, 142, 140 is 2
2. How to calculate the greatest common divisor of 966, 330, 142, 140?
We can find the highest common divisor of 966, 330, 142, 140 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, 330, 142, 140 i.e 2.
3. How can I use the GCD of 966, 330, 142, 140Calculator?
Out the numbers 966, 330, 142, 140 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.