Online GCD Calculator is useful to find the GCD of 765, 129, 731, 460 quickly. Get the easiest ways to solve the greatest common divisor of 765, 129, 731, 460 i.e 1 in different methods as follows.
Given Input numbers are 765, 129, 731, 460
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 129 :
The positive integer divisors of 129 that completely divides 129 are.
1, 3, 43, 129
Divisors of 731 :
The positive integer divisors of 731 that completely divides 731 are.
1, 17, 43, 731
Divisors of 460 :
The positive integer divisors of 460 that completely divides 460 are.
1, 2, 4, 5, 10, 20, 23, 46, 92, 115, 230, 460
GCD of numbers is the greatest common divisor
So, the GCD (765, 129, 731, 460) = 1.
Given numbers are 765, 129, 731, 460
The list of prime factors of all numbers are
Prime factors of 765 are 3 x 3 x 5 x 17
Prime factors of 129 are 3 x 43
Prime factors of 731 are 17 x 43
Prime factors of 460 are 2 x 2 x 5 x 23
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 765, 129, 731, 460
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(765, 129) = 32895
GCD(765, 129) = ( 765 x 129 ) / 32895
= 765 / 129
= 765
Step2:
LCM(3, 731) = 2193
GCD(3, 731) = ( 3 x 731 ) / 2193
= 3 / 731
= 3
Step3:
LCM(1, 460) = 460
GCD(1, 460) = ( 1 x 460 ) / 460
= 1 / 460
= 1
So, Greatest Common Divisor of 765, 129, 731, 460 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 765, 129, 731, 460
The greatest common divisor of numbers 765, 129, 731, 460 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 765, 129, 731, 460 is 1.
1. What is the GCD of 765, 129, 731, 460?
GCD of given numbers 765, 129, 731, 460 is 1
2. How to calculate the greatest common divisor of 765, 129, 731, 460?
We can find the highest common divisor of 765, 129, 731, 460 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, 129, 731, 460 i.e 1.
3. How can I use the GCD of 765, 129, 731, 460Calculator?
Out the numbers 765, 129, 731, 460 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.