Online GCD Calculator is useful to find the GCD of 561, 616, 198, 717 quickly. Get the easiest ways to solve the greatest common divisor of 561, 616, 198, 717 i.e 1 in different methods as follows.
Given Input numbers are 561, 616, 198, 717
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 616 :
The positive integer divisors of 616 that completely divides 616 are.
1, 2, 4, 7, 8, 11, 14, 22, 28, 44, 56, 77, 88, 154, 308, 616
Divisors of 198 :
The positive integer divisors of 198 that completely divides 198 are.
1, 2, 3, 6, 9, 11, 18, 22, 33, 66, 99, 198
Divisors of 717 :
The positive integer divisors of 717 that completely divides 717 are.
1, 3, 239, 717
GCD of numbers is the greatest common divisor
So, the GCD (561, 616, 198, 717) = 1.
Given numbers are 561, 616, 198, 717
The list of prime factors of all numbers are
Prime factors of 561 are 3 x 11 x 17
Prime factors of 616 are 2 x 2 x 2 x 7 x 11
Prime factors of 198 are 2 x 3 x 3 x 11
Prime factors of 717 are 3 x 239
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 561, 616, 198, 717
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(561, 616) = 31416
GCD(561, 616) = ( 561 x 616 ) / 31416
= 561 / 616
= 561
Step2:
LCM(11, 198) = 198
GCD(11, 198) = ( 11 x 198 ) / 198
= 11 / 198
= 11
Step3:
LCM(11, 717) = 7887
GCD(11, 717) = ( 11 x 717 ) / 7887
= 11 / 717
= 11
So, Greatest Common Divisor of 561, 616, 198, 717 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 561, 616, 198, 717
The greatest common divisor of numbers 561, 616, 198, 717 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 561, 616, 198, 717 is 1.
1. What is the GCD of 561, 616, 198, 717?
GCD of given numbers 561, 616, 198, 717 is 1
2. How to calculate the greatest common divisor of 561, 616, 198, 717?
We can find the highest common divisor of 561, 616, 198, 717 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, 616, 198, 717 i.e 1.
3. How can I use the GCD of 561, 616, 198, 717Calculator?
Out the numbers 561, 616, 198, 717 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.