Online GCD Calculator is useful to find the GCD of 561, 493, 130, 108 quickly. Get the easiest ways to solve the greatest common divisor of 561, 493, 130, 108 i.e 1 in different methods as follows.
Given Input numbers are 561, 493, 130, 108
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 493 :
The positive integer divisors of 493 that completely divides 493 are.
1, 17, 29, 493
Divisors of 130 :
The positive integer divisors of 130 that completely divides 130 are.
1, 2, 5, 10, 13, 26, 65, 130
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 (561, 493, 130, 108) = 1.
Given numbers are 561, 493, 130, 108
The list of prime factors of all numbers are
Prime factors of 561 are 3 x 11 x 17
Prime factors of 493 are 17 x 29
Prime factors of 130 are 2 x 5 x 13
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 561, 493, 130, 108
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(561, 493) = 16269
GCD(561, 493) = ( 561 x 493 ) / 16269
= 561 / 493
= 561
Step2:
LCM(17, 130) = 2210
GCD(17, 130) = ( 17 x 130 ) / 2210
= 17 / 130
= 17
Step3:
LCM(1, 108) = 108
GCD(1, 108) = ( 1 x 108 ) / 108
= 1 / 108
= 1
So, Greatest Common Divisor of 561, 493, 130, 108 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 561, 493, 130, 108
The greatest common divisor of numbers 561, 493, 130, 108 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 561, 493, 130, 108 is 1.
1. What is the GCD of 561, 493, 130, 108?
GCD of given numbers 561, 493, 130, 108 is 1
2. How to calculate the greatest common divisor of 561, 493, 130, 108?
We can find the highest common divisor of 561, 493, 130, 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 561, 493, 130, 108 i.e 1.
3. How can I use the GCD of 561, 493, 130, 108Calculator?
Out the numbers 561, 493, 130, 108 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.