Online GCD Calculator is useful to find the GCD of 381, 765, 269 quickly. Get the easiest ways to solve the greatest common divisor of 381, 765, 269 i.e 1 in different methods as follows.
Given Input numbers are 381, 765, 269
In the factoring method, we have to find the divisors of all numbers
Divisors of 381 :
The positive integer divisors of 381 that completely divides 381 are.
1, 3, 127, 381
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 269 :
The positive integer divisors of 269 that completely divides 269 are.
1, 269
GCD of numbers is the greatest common divisor
So, the GCD (381, 765, 269) = 1.
Given numbers are 381, 765, 269
The list of prime factors of all numbers are
Prime factors of 381 are 3 x 127
Prime factors of 765 are 3 x 3 x 5 x 17
Prime factors of 269 are 269
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 381, 765, 269
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(381, 765) = 97155
GCD(381, 765) = ( 381 x 765 ) / 97155
= 381 / 765
= 381
Step2:
LCM(3, 269) = 807
GCD(3, 269) = ( 3 x 269 ) / 807
= 3 / 269
= 3
So, Greatest Common Divisor of 381, 765, 269 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 381, 765, 269
The greatest common divisor of numbers 381, 765, 269 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 381, 765, 269 is 1.
1. What is the GCD of 381, 765, 269?
GCD of given numbers 381, 765, 269 is 1
2. How to calculate the greatest common divisor of 381, 765, 269?
We can find the highest common divisor of 381, 765, 269 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 381, 765, 269 i.e 1.
3. How can I use the GCD of 381, 765, 269Calculator?
Out the numbers 381, 765, 269 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.