Online GCD Calculator is useful to find the GCD of 561, 391, 665, 105 quickly. Get the easiest ways to solve the greatest common divisor of 561, 391, 665, 105 i.e 1 in different methods as follows.
Given Input numbers are 561, 391, 665, 105
In the factoring method, we have to find the divisors of all numbers
Divisors of 561 :
The positive integer divisors of 561 that completely divides 561 are.
1, 3, 11, 17, 33, 51, 187, 561
Divisors of 391 :
The positive integer divisors of 391 that completely divides 391 are.
1, 17, 23, 391
Divisors of 665 :
The positive integer divisors of 665 that completely divides 665 are.
1, 5, 7, 19, 35, 95, 133, 665
Divisors of 105 :
The positive integer divisors of 105 that completely divides 105 are.
1, 3, 5, 7, 15, 21, 35, 105
GCD of numbers is the greatest common divisor
So, the GCD (561, 391, 665, 105) = 1.
Given numbers are 561, 391, 665, 105
The list of prime factors of all numbers are
Prime factors of 561 are 3 x 11 x 17
Prime factors of 391 are 17 x 23
Prime factors of 665 are 5 x 7 x 19
Prime factors of 105 are 3 x 5 x 7
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 561, 391, 665, 105
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(561, 391) = 12903
GCD(561, 391) = ( 561 x 391 ) / 12903
= 561 / 391
= 561
Step2:
LCM(17, 665) = 11305
GCD(17, 665) = ( 17 x 665 ) / 11305
= 17 / 665
= 17
Step3:
LCM(1, 105) = 105
GCD(1, 105) = ( 1 x 105 ) / 105
= 1 / 105
= 1
So, Greatest Common Divisor of 561, 391, 665, 105 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 561, 391, 665, 105
The greatest common divisor of numbers 561, 391, 665, 105 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 561, 391, 665, 105 is 1.
1. What is the GCD of 561, 391, 665, 105?
GCD of given numbers 561, 391, 665, 105 is 1
2. How to calculate the greatest common divisor of 561, 391, 665, 105?
We can find the highest common divisor of 561, 391, 665, 105 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 561, 391, 665, 105 i.e 1.
3. How can I use the GCD of 561, 391, 665, 105Calculator?
Out the numbers 561, 391, 665, 105 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.