Online GCD Calculator is useful to find the GCD of 765, 999, 200, 351 quickly. Get the easiest ways to solve the greatest common divisor of 765, 999, 200, 351 i.e 1 in different methods as follows.
Given Input numbers are 765, 999, 200, 351
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 999 :
The positive integer divisors of 999 that completely divides 999 are.
1, 3, 9, 27, 37, 111, 333, 999
Divisors of 200 :
The positive integer divisors of 200 that completely divides 200 are.
1, 2, 4, 5, 8, 10, 20, 25, 40, 50, 100, 200
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 (765, 999, 200, 351) = 1.
Given numbers are 765, 999, 200, 351
The list of prime factors of all numbers are
Prime factors of 765 are 3 x 3 x 5 x 17
Prime factors of 999 are 3 x 3 x 3 x 37
Prime factors of 200 are 2 x 2 x 2 x 5 x 5
Prime factors of 351 are 3 x 3 x 3 x 13
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 765, 999, 200, 351
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(765, 999) = 84915
GCD(765, 999) = ( 765 x 999 ) / 84915
= 765 / 999
= 765
Step2:
LCM(9, 200) = 1800
GCD(9, 200) = ( 9 x 200 ) / 1800
= 9 / 200
= 9
Step3:
LCM(1, 351) = 351
GCD(1, 351) = ( 1 x 351 ) / 351
= 1 / 351
= 1
So, Greatest Common Divisor of 765, 999, 200, 351 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 765, 999, 200, 351
The greatest common divisor of numbers 765, 999, 200, 351 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 765, 999, 200, 351 is 1.
1. What is the GCD of 765, 999, 200, 351?
GCD of given numbers 765, 999, 200, 351 is 1
2. How to calculate the greatest common divisor of 765, 999, 200, 351?
We can find the highest common divisor of 765, 999, 200, 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 765, 999, 200, 351 i.e 1.
3. How can I use the GCD of 765, 999, 200, 351Calculator?
Out the numbers 765, 999, 200, 351 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.