Online GCD Calculator is useful to find the GCD of 711, 165, 120, 561 quickly. Get the easiest ways to solve the greatest common divisor of 711, 165, 120, 561 i.e 3 in different methods as follows.
Given Input numbers are 711, 165, 120, 561
In the factoring method, we have to find the divisors of all numbers
Divisors of 711 :
The positive integer divisors of 711 that completely divides 711 are.
1, 3, 9, 79, 237, 711
Divisors of 165 :
The positive integer divisors of 165 that completely divides 165 are.
1, 3, 5, 11, 15, 33, 55, 165
Divisors of 120 :
The positive integer divisors of 120 that completely divides 120 are.
1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120
Divisors of 561 :
The positive integer divisors of 561 that completely divides 561 are.
1, 3, 11, 17, 33, 51, 187, 561
GCD of numbers is the greatest common divisor
So, the GCD (711, 165, 120, 561) = 3.
Given numbers are 711, 165, 120, 561
The list of prime factors of all numbers are
Prime factors of 711 are 3 x 3 x 79
Prime factors of 165 are 3 x 5 x 11
Prime factors of 120 are 2 x 2 x 2 x 3 x 5
Prime factors of 561 are 3 x 11 x 17
The highest common occurrence is 31
Therefore, GCD of 711, 165, 120, 561 is 3.
Given numbers are 711, 165, 120, 561
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(711, 165) = 39105
GCD(711, 165) = ( 711 x 165 ) / 39105
= 711 / 165
= 711
Step2:
LCM(3, 120) = 120
GCD(3, 120) = ( 3 x 120 ) / 120
= 3 / 120
= 3
Step3:
LCM(3, 561) = 561
GCD(3, 561) = ( 3 x 561 ) / 561
= 3 / 561
= 3
So, Greatest Common Divisor of 711, 165, 120, 561 is 3
Here are some samples of GCD of Numbers calculations.
Given numbers are 711, 165, 120, 561
The greatest common divisor of numbers 711, 165, 120, 561 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 711, 165, 120, 561 is 3.
1. What is the GCD of 711, 165, 120, 561?
GCD of given numbers 711, 165, 120, 561 is 3
2. How to calculate the greatest common divisor of 711, 165, 120, 561?
We can find the highest common divisor of 711, 165, 120, 561 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 711, 165, 120, 561 i.e 3.
3. How can I use the GCD of 711, 165, 120, 561Calculator?
Out the numbers 711, 165, 120, 561 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.