Online GCD Calculator is useful to find the GCD of 291, 189, 966, 495 quickly. Get the easiest ways to solve the greatest common divisor of 291, 189, 966, 495 i.e 3 in different methods as follows.
Given Input numbers are 291, 189, 966, 495
In the factoring method, we have to find the divisors of all numbers
Divisors of 291 :
The positive integer divisors of 291 that completely divides 291 are.
1, 3, 97, 291
Divisors of 189 :
The positive integer divisors of 189 that completely divides 189 are.
1, 3, 7, 9, 21, 27, 63, 189
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 495 :
The positive integer divisors of 495 that completely divides 495 are.
1, 3, 5, 9, 11, 15, 33, 45, 55, 99, 165, 495
GCD of numbers is the greatest common divisor
So, the GCD (291, 189, 966, 495) = 3.
Given numbers are 291, 189, 966, 495
The list of prime factors of all numbers are
Prime factors of 291 are 3 x 97
Prime factors of 189 are 3 x 3 x 3 x 7
Prime factors of 966 are 2 x 3 x 7 x 23
Prime factors of 495 are 3 x 3 x 5 x 11
The highest common occurrence is 31
Therefore, GCD of 291, 189, 966, 495 is 3.
Given numbers are 291, 189, 966, 495
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(291, 189) = 18333
GCD(291, 189) = ( 291 x 189 ) / 18333
= 291 / 189
= 291
Step2:
LCM(3, 966) = 966
GCD(3, 966) = ( 3 x 966 ) / 966
= 3 / 966
= 3
Step3:
LCM(3, 495) = 495
GCD(3, 495) = ( 3 x 495 ) / 495
= 3 / 495
= 3
So, Greatest Common Divisor of 291, 189, 966, 495 is 3
Here are some samples of GCD of Numbers calculations.
Given numbers are 291, 189, 966, 495
The greatest common divisor of numbers 291, 189, 966, 495 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 291, 189, 966, 495 is 3.
1. What is the GCD of 291, 189, 966, 495?
GCD of given numbers 291, 189, 966, 495 is 3
2. How to calculate the greatest common divisor of 291, 189, 966, 495?
We can find the highest common divisor of 291, 189, 966, 495 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 291, 189, 966, 495 i.e 3.
3. How can I use the GCD of 291, 189, 966, 495Calculator?
Out the numbers 291, 189, 966, 495 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.