Online GCD Calculator is useful to find the GCD of 795, 999, 765, 945 quickly. Get the easiest ways to solve the greatest common divisor of 795, 999, 765, 945 i.e 3 in different methods as follows.
Given Input numbers are 795, 999, 765, 945
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 999 :
The positive integer divisors of 999 that completely divides 999 are.
1, 3, 9, 27, 37, 111, 333, 999
Divisors of 765 :
The positive integer divisors of 765 that completely divides 765 are.
1, 3, 5, 9, 15, 17, 45, 51, 85, 153, 255, 765
Divisors of 945 :
The positive integer divisors of 945 that completely divides 945 are.
1, 3, 5, 7, 9, 15, 21, 27, 35, 45, 63, 105, 135, 189, 315, 945
GCD of numbers is the greatest common divisor
So, the GCD (795, 999, 765, 945) = 3.
Given numbers are 795, 999, 765, 945
The list of prime factors of all numbers are
Prime factors of 795 are 3 x 5 x 53
Prime factors of 999 are 3 x 3 x 3 x 37
Prime factors of 765 are 3 x 3 x 5 x 17
Prime factors of 945 are 3 x 3 x 3 x 5 x 7
The highest common occurrence is 31
Therefore, GCD of 795, 999, 765, 945 is 3.
Given numbers are 795, 999, 765, 945
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(795, 999) = 264735
GCD(795, 999) = ( 795 x 999 ) / 264735
= 795 / 999
= 795
Step2:
LCM(3, 765) = 765
GCD(3, 765) = ( 3 x 765 ) / 765
= 3 / 765
= 3
Step3:
LCM(3, 945) = 945
GCD(3, 945) = ( 3 x 945 ) / 945
= 3 / 945
= 3
So, Greatest Common Divisor of 795, 999, 765, 945 is 3
Here are some samples of GCD of Numbers calculations.
Given numbers are 795, 999, 765, 945
The greatest common divisor of numbers 795, 999, 765, 945 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 795, 999, 765, 945 is 3.
1. What is the GCD of 795, 999, 765, 945?
GCD of given numbers 795, 999, 765, 945 is 3
2. How to calculate the greatest common divisor of 795, 999, 765, 945?
We can find the highest common divisor of 795, 999, 765, 945 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, 999, 765, 945 i.e 3.
3. How can I use the GCD of 795, 999, 765, 945Calculator?
Out the numbers 795, 999, 765, 945 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.