Online GCD Calculator is useful to find the GCD of 120, 309, 677, 561 quickly. Get the easiest ways to solve the greatest common divisor of 120, 309, 677, 561 i.e 1 in different methods as follows.
Given Input numbers are 120, 309, 677, 561
In the factoring method, we have to find the divisors of all numbers
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 309 :
The positive integer divisors of 309 that completely divides 309 are.
1, 3, 103, 309
Divisors of 677 :
The positive integer divisors of 677 that completely divides 677 are.
1, 677
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 (120, 309, 677, 561) = 1.
Given numbers are 120, 309, 677, 561
The list of prime factors of all numbers are
Prime factors of 120 are 2 x 2 x 2 x 3 x 5
Prime factors of 309 are 3 x 103
Prime factors of 677 are 677
Prime factors of 561 are 3 x 11 x 17
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 120, 309, 677, 561
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(120, 309) = 12360
GCD(120, 309) = ( 120 x 309 ) / 12360
= 120 / 309
= 120
Step2:
LCM(3, 677) = 2031
GCD(3, 677) = ( 3 x 677 ) / 2031
= 3 / 677
= 3
Step3:
LCM(1, 561) = 561
GCD(1, 561) = ( 1 x 561 ) / 561
= 1 / 561
= 1
So, Greatest Common Divisor of 120, 309, 677, 561 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 120, 309, 677, 561
The greatest common divisor of numbers 120, 309, 677, 561 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 120, 309, 677, 561 is 1.
1. What is the GCD of 120, 309, 677, 561?
GCD of given numbers 120, 309, 677, 561 is 1
2. How to calculate the greatest common divisor of 120, 309, 677, 561?
We can find the highest common divisor of 120, 309, 677, 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 120, 309, 677, 561 i.e 1.
3. How can I use the GCD of 120, 309, 677, 561Calculator?
Out the numbers 120, 309, 677, 561 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.