Online GCD Calculator is useful to find the GCD of 309, 190, 720, 997 quickly. Get the easiest ways to solve the greatest common divisor of 309, 190, 720, 997 i.e 1 in different methods as follows.
Given Input numbers are 309, 190, 720, 997
In the factoring method, we have to find the divisors of all numbers
Divisors of 309 :
The positive integer divisors of 309 that completely divides 309 are.
1, 3, 103, 309
Divisors of 190 :
The positive integer divisors of 190 that completely divides 190 are.
1, 2, 5, 10, 19, 38, 95, 190
Divisors of 720 :
The positive integer divisors of 720 that completely divides 720 are.
1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 30, 36, 40, 45, 48, 60, 72, 80, 90, 120, 144, 180, 240, 360, 720
Divisors of 997 :
The positive integer divisors of 997 that completely divides 997 are.
1, 997
GCD of numbers is the greatest common divisor
So, the GCD (309, 190, 720, 997) = 1.
Given numbers are 309, 190, 720, 997
The list of prime factors of all numbers are
Prime factors of 309 are 3 x 103
Prime factors of 190 are 2 x 5 x 19
Prime factors of 720 are 2 x 2 x 2 x 2 x 3 x 3 x 5
Prime factors of 997 are 997
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 309, 190, 720, 997
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(309, 190) = 58710
GCD(309, 190) = ( 309 x 190 ) / 58710
= 309 / 190
= 309
Step2:
LCM(1, 720) = 720
GCD(1, 720) = ( 1 x 720 ) / 720
= 1 / 720
= 1
Step3:
LCM(1, 997) = 997
GCD(1, 997) = ( 1 x 997 ) / 997
= 1 / 997
= 1
So, Greatest Common Divisor of 309, 190, 720, 997 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 309, 190, 720, 997
The greatest common divisor of numbers 309, 190, 720, 997 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 309, 190, 720, 997 is 1.
1. What is the GCD of 309, 190, 720, 997?
GCD of given numbers 309, 190, 720, 997 is 1
2. How to calculate the greatest common divisor of 309, 190, 720, 997?
We can find the highest common divisor of 309, 190, 720, 997 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 309, 190, 720, 997 i.e 1.
3. How can I use the GCD of 309, 190, 720, 997Calculator?
Out the numbers 309, 190, 720, 997 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.