Online GCD Calculator is useful to find the GCD of 387, 916, 909 quickly. Get the easiest ways to solve the greatest common divisor of 387, 916, 909 i.e 1 in different methods as follows.
Given Input numbers are 387, 916, 909
In the factoring method, we have to find the divisors of all numbers
Divisors of 387 :
The positive integer divisors of 387 that completely divides 387 are.
1, 3, 9, 43, 129, 387
Divisors of 916 :
The positive integer divisors of 916 that completely divides 916 are.
1, 2, 4, 229, 458, 916
Divisors of 909 :
The positive integer divisors of 909 that completely divides 909 are.
1, 3, 9, 101, 303, 909
GCD of numbers is the greatest common divisor
So, the GCD (387, 916, 909) = 1.
Given numbers are 387, 916, 909
The list of prime factors of all numbers are
Prime factors of 387 are 3 x 3 x 43
Prime factors of 916 are 2 x 2 x 229
Prime factors of 909 are 3 x 3 x 101
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 387, 916, 909
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(387, 916) = 354492
GCD(387, 916) = ( 387 x 916 ) / 354492
= 387 / 916
= 387
Step2:
LCM(1, 909) = 909
GCD(1, 909) = ( 1 x 909 ) / 909
= 1 / 909
= 1
So, Greatest Common Divisor of 387, 916, 909 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 387, 916, 909
The greatest common divisor of numbers 387, 916, 909 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 387, 916, 909 is 1.
1. What is the GCD of 387, 916, 909?
GCD of given numbers 387, 916, 909 is 1
2. How to calculate the greatest common divisor of 387, 916, 909?
We can find the highest common divisor of 387, 916, 909 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 387, 916, 909 i.e 1.
3. How can I use the GCD of 387, 916, 909Calculator?
Out the numbers 387, 916, 909 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.