Online GCD Calculator is useful to find the GCD of 267, 966, 153 quickly. Get the easiest ways to solve the greatest common divisor of 267, 966, 153 i.e 3 in different methods as follows.
Given Input numbers are 267, 966, 153
In the factoring method, we have to find the divisors of all numbers
Divisors of 267 :
The positive integer divisors of 267 that completely divides 267 are.
1, 3, 89, 267
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 153 :
The positive integer divisors of 153 that completely divides 153 are.
1, 3, 9, 17, 51, 153
GCD of numbers is the greatest common divisor
So, the GCD (267, 966, 153) = 3.
Given numbers are 267, 966, 153
The list of prime factors of all numbers are
Prime factors of 267 are 3 x 89
Prime factors of 966 are 2 x 3 x 7 x 23
Prime factors of 153 are 3 x 3 x 17
The highest common occurrence is 31
Therefore, GCD of 267, 966, 153 is 3.
Given numbers are 267, 966, 153
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(267, 966) = 85974
GCD(267, 966) = ( 267 x 966 ) / 85974
= 267 / 966
= 267
Step2:
LCM(3, 153) = 153
GCD(3, 153) = ( 3 x 153 ) / 153
= 3 / 153
= 3
So, Greatest Common Divisor of 267, 966, 153 is 3
Here are some samples of GCD of Numbers calculations.
Given numbers are 267, 966, 153
The greatest common divisor of numbers 267, 966, 153 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 267, 966, 153 is 3.
1. What is the GCD of 267, 966, 153?
GCD of given numbers 267, 966, 153 is 3
2. How to calculate the greatest common divisor of 267, 966, 153?
We can find the highest common divisor of 267, 966, 153 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 267, 966, 153 i.e 3.
3. How can I use the GCD of 267, 966, 153Calculator?
Out the numbers 267, 966, 153 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.