Online GCD Calculator is useful to find the GCD of 795, 966, 654, 351 quickly. Get the easiest ways to solve the greatest common divisor of 795, 966, 654, 351 i.e 3 in different methods as follows.
Given Input numbers are 795, 966, 654, 351
In the factoring method, we have to find the divisors of all numbers
Divisors of 795 :
The positive integer divisors of 795 that completely divides 795 are.
1, 3, 5, 15, 53, 159, 265, 795
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 654 :
The positive integer divisors of 654 that completely divides 654 are.
1, 2, 3, 6, 109, 218, 327, 654
Divisors of 351 :
The positive integer divisors of 351 that completely divides 351 are.
1, 3, 9, 13, 27, 39, 117, 351
GCD of numbers is the greatest common divisor
So, the GCD (795, 966, 654, 351) = 3.
Given numbers are 795, 966, 654, 351
The list of prime factors of all numbers are
Prime factors of 795 are 3 x 5 x 53
Prime factors of 966 are 2 x 3 x 7 x 23
Prime factors of 654 are 2 x 3 x 109
Prime factors of 351 are 3 x 3 x 3 x 13
The highest common occurrence is 31
Therefore, GCD of 795, 966, 654, 351 is 3.
Given numbers are 795, 966, 654, 351
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(795, 966) = 255990
GCD(795, 966) = ( 795 x 966 ) / 255990
= 795 / 966
= 795
Step2:
LCM(3, 654) = 654
GCD(3, 654) = ( 3 x 654 ) / 654
= 3 / 654
= 3
Step3:
LCM(3, 351) = 351
GCD(3, 351) = ( 3 x 351 ) / 351
= 3 / 351
= 3
So, Greatest Common Divisor of 795, 966, 654, 351 is 3
Here are some samples of GCD of Numbers calculations.
Given numbers are 795, 966, 654, 351
The greatest common divisor of numbers 795, 966, 654, 351 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 795, 966, 654, 351 is 3.
1. What is the GCD of 795, 966, 654, 351?
GCD of given numbers 795, 966, 654, 351 is 3
2. How to calculate the greatest common divisor of 795, 966, 654, 351?
We can find the highest common divisor of 795, 966, 654, 351 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 795, 966, 654, 351 i.e 3.
3. How can I use the GCD of 795, 966, 654, 351Calculator?
Out the numbers 795, 966, 654, 351 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.