Online GCD Calculator is useful to find the GCD of 645, 966, 705 quickly. Get the easiest ways to solve the greatest common divisor of 645, 966, 705 i.e 3 in different methods as follows.
Given Input numbers are 645, 966, 705
In the factoring method, we have to find the divisors of all numbers
Divisors of 645 :
The positive integer divisors of 645 that completely divides 645 are.
1, 3, 5, 15, 43, 129, 215, 645
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 705 :
The positive integer divisors of 705 that completely divides 705 are.
1, 3, 5, 15, 47, 141, 235, 705
GCD of numbers is the greatest common divisor
So, the GCD (645, 966, 705) = 3.
Given numbers are 645, 966, 705
The list of prime factors of all numbers are
Prime factors of 645 are 3 x 5 x 43
Prime factors of 966 are 2 x 3 x 7 x 23
Prime factors of 705 are 3 x 5 x 47
The highest common occurrence is 31
Therefore, GCD of 645, 966, 705 is 3.
Given numbers are 645, 966, 705
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(645, 966) = 207690
GCD(645, 966) = ( 645 x 966 ) / 207690
= 645 / 966
= 645
Step2:
LCM(3, 705) = 705
GCD(3, 705) = ( 3 x 705 ) / 705
= 3 / 705
= 3
So, Greatest Common Divisor of 645, 966, 705 is 3
Here are some samples of GCD of Numbers calculations.
Given numbers are 645, 966, 705
The greatest common divisor of numbers 645, 966, 705 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 645, 966, 705 is 3.
1. What is the GCD of 645, 966, 705?
GCD of given numbers 645, 966, 705 is 3
2. How to calculate the greatest common divisor of 645, 966, 705?
We can find the highest common divisor of 645, 966, 705 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 645, 966, 705 i.e 3.
3. How can I use the GCD of 645, 966, 705Calculator?
Out the numbers 645, 966, 705 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.