Online GCD Calculator is useful to find the GCD of 669, 141, 675, 966 quickly. Get the easiest ways to solve the greatest common divisor of 669, 141, 675, 966 i.e 3 in different methods as follows.
Given Input numbers are 669, 141, 675, 966
In the factoring method, we have to find the divisors of all numbers
Divisors of 669 :
The positive integer divisors of 669 that completely divides 669 are.
1, 3, 223, 669
Divisors of 141 :
The positive integer divisors of 141 that completely divides 141 are.
1, 3, 47, 141
Divisors of 675 :
The positive integer divisors of 675 that completely divides 675 are.
1, 3, 5, 9, 15, 25, 27, 45, 75, 135, 225, 675
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
GCD of numbers is the greatest common divisor
So, the GCD (669, 141, 675, 966) = 3.
Given numbers are 669, 141, 675, 966
The list of prime factors of all numbers are
Prime factors of 669 are 3 x 223
Prime factors of 141 are 3 x 47
Prime factors of 675 are 3 x 3 x 3 x 5 x 5
Prime factors of 966 are 2 x 3 x 7 x 23
The highest common occurrence is 31
Therefore, GCD of 669, 141, 675, 966 is 3.
Given numbers are 669, 141, 675, 966
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(669, 141) = 31443
GCD(669, 141) = ( 669 x 141 ) / 31443
= 669 / 141
= 669
Step2:
LCM(3, 675) = 675
GCD(3, 675) = ( 3 x 675 ) / 675
= 3 / 675
= 3
Step3:
LCM(3, 966) = 966
GCD(3, 966) = ( 3 x 966 ) / 966
= 3 / 966
= 3
So, Greatest Common Divisor of 669, 141, 675, 966 is 3
Here are some samples of GCD of Numbers calculations.
Given numbers are 669, 141, 675, 966
The greatest common divisor of numbers 669, 141, 675, 966 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 669, 141, 675, 966 is 3.
1. What is the GCD of 669, 141, 675, 966?
GCD of given numbers 669, 141, 675, 966 is 3
2. How to calculate the greatest common divisor of 669, 141, 675, 966?
We can find the highest common divisor of 669, 141, 675, 966 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 669, 141, 675, 966 i.e 3.
3. How can I use the GCD of 669, 141, 675, 966Calculator?
Out the numbers 669, 141, 675, 966 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.