Online GCD Calculator is useful to find the GCD of 765, 825, 447, 721 quickly. Get the easiest ways to solve the greatest common divisor of 765, 825, 447, 721 i.e 1 in different methods as follows.
Given Input numbers are 765, 825, 447, 721
In the factoring method, we have to find the divisors of all numbers
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 825 :
The positive integer divisors of 825 that completely divides 825 are.
1, 3, 5, 11, 15, 25, 33, 55, 75, 165, 275, 825
Divisors of 447 :
The positive integer divisors of 447 that completely divides 447 are.
1, 3, 149, 447
Divisors of 721 :
The positive integer divisors of 721 that completely divides 721 are.
1, 7, 103, 721
GCD of numbers is the greatest common divisor
So, the GCD (765, 825, 447, 721) = 1.
Given numbers are 765, 825, 447, 721
The list of prime factors of all numbers are
Prime factors of 765 are 3 x 3 x 5 x 17
Prime factors of 825 are 3 x 5 x 5 x 11
Prime factors of 447 are 3 x 149
Prime factors of 721 are 7 x 103
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 765, 825, 447, 721
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(765, 825) = 42075
GCD(765, 825) = ( 765 x 825 ) / 42075
= 765 / 825
= 765
Step2:
LCM(15, 447) = 2235
GCD(15, 447) = ( 15 x 447 ) / 2235
= 15 / 447
= 15
Step3:
LCM(3, 721) = 2163
GCD(3, 721) = ( 3 x 721 ) / 2163
= 3 / 721
= 3
So, Greatest Common Divisor of 765, 825, 447, 721 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 765, 825, 447, 721
The greatest common divisor of numbers 765, 825, 447, 721 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 765, 825, 447, 721 is 1.
1. What is the GCD of 765, 825, 447, 721?
GCD of given numbers 765, 825, 447, 721 is 1
2. How to calculate the greatest common divisor of 765, 825, 447, 721?
We can find the highest common divisor of 765, 825, 447, 721 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 765, 825, 447, 721 i.e 1.
3. How can I use the GCD of 765, 825, 447, 721Calculator?
Out the numbers 765, 825, 447, 721 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.