Online GCD Calculator is useful to find the GCD of 966, 138, 267, 363 quickly. Get the easiest ways to solve the greatest common divisor of 966, 138, 267, 363 i.e 3 in different methods as follows.
Given Input numbers are 966, 138, 267, 363
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 138 :
The positive integer divisors of 138 that completely divides 138 are.
1, 2, 3, 6, 23, 46, 69, 138
Divisors of 267 :
The positive integer divisors of 267 that completely divides 267 are.
1, 3, 89, 267
Divisors of 363 :
The positive integer divisors of 363 that completely divides 363 are.
1, 3, 11, 33, 121, 363
GCD of numbers is the greatest common divisor
So, the GCD (966, 138, 267, 363) = 3.
Given numbers are 966, 138, 267, 363
The list of prime factors of all numbers are
Prime factors of 966 are 2 x 3 x 7 x 23
Prime factors of 138 are 2 x 3 x 23
Prime factors of 267 are 3 x 89
Prime factors of 363 are 3 x 11 x 11
The highest common occurrence is 31
Therefore, GCD of 966, 138, 267, 363 is 3.
Given numbers are 966, 138, 267, 363
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(966, 138) = 966
GCD(966, 138) = ( 966 x 138 ) / 966
= 966 / 138
= 966
Step2:
LCM(138, 267) = 12282
GCD(138, 267) = ( 138 x 267 ) / 12282
= 138 / 267
= 138
Step3:
LCM(3, 363) = 363
GCD(3, 363) = ( 3 x 363 ) / 363
= 3 / 363
= 3
So, Greatest Common Divisor of 966, 138, 267, 363 is 3
Here are some samples of GCD of Numbers calculations.
Given numbers are 966, 138, 267, 363
The greatest common divisor of numbers 966, 138, 267, 363 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 966, 138, 267, 363 is 3.
1. What is the GCD of 966, 138, 267, 363?
GCD of given numbers 966, 138, 267, 363 is 3
2. How to calculate the greatest common divisor of 966, 138, 267, 363?
We can find the highest common divisor of 966, 138, 267, 363 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, 138, 267, 363 i.e 3.
3. How can I use the GCD of 966, 138, 267, 363Calculator?
Out the numbers 966, 138, 267, 363 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.