Online GCD Calculator is useful to find the GCD of 399, 269, 108 quickly. Get the easiest ways to solve the greatest common divisor of 399, 269, 108 i.e 1 in different methods as follows.
Given Input numbers are 399, 269, 108
In the factoring method, we have to find the divisors of all numbers
Divisors of 399 :
The positive integer divisors of 399 that completely divides 399 are.
1, 3, 7, 19, 21, 57, 133, 399
Divisors of 269 :
The positive integer divisors of 269 that completely divides 269 are.
1, 269
Divisors of 108 :
The positive integer divisors of 108 that completely divides 108 are.
1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 108
GCD of numbers is the greatest common divisor
So, the GCD (399, 269, 108) = 1.
Given numbers are 399, 269, 108
The list of prime factors of all numbers are
Prime factors of 399 are 3 x 7 x 19
Prime factors of 269 are 269
Prime factors of 108 are 2 x 2 x 3 x 3 x 3
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 399, 269, 108
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(399, 269) = 107331
GCD(399, 269) = ( 399 x 269 ) / 107331
= 399 / 269
= 399
Step2:
LCM(1, 108) = 108
GCD(1, 108) = ( 1 x 108 ) / 108
= 1 / 108
= 1
So, Greatest Common Divisor of 399, 269, 108 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 399, 269, 108
The greatest common divisor of numbers 399, 269, 108 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 399, 269, 108 is 1.
1. What is the GCD of 399, 269, 108?
GCD of given numbers 399, 269, 108 is 1
2. How to calculate the greatest common divisor of 399, 269, 108?
We can find the highest common divisor of 399, 269, 108 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 399, 269, 108 i.e 1.
3. How can I use the GCD of 399, 269, 108Calculator?
Out the numbers 399, 269, 108 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.