Online GCD Calculator is useful to find the GCD of 339, 814, 720, 300 quickly. Get the easiest ways to solve the greatest common divisor of 339, 814, 720, 300 i.e 1 in different methods as follows.
Given Input numbers are 339, 814, 720, 300
In the factoring method, we have to find the divisors of all numbers
Divisors of 339 :
The positive integer divisors of 339 that completely divides 339 are.
1, 3, 113, 339
Divisors of 814 :
The positive integer divisors of 814 that completely divides 814 are.
1, 2, 11, 22, 37, 74, 407, 814
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 300 :
The positive integer divisors of 300 that completely divides 300 are.
1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 25, 30, 50, 60, 75, 100, 150, 300
GCD of numbers is the greatest common divisor
So, the GCD (339, 814, 720, 300) = 1.
Given numbers are 339, 814, 720, 300
The list of prime factors of all numbers are
Prime factors of 339 are 3 x 113
Prime factors of 814 are 2 x 11 x 37
Prime factors of 720 are 2 x 2 x 2 x 2 x 3 x 3 x 5
Prime factors of 300 are 2 x 2 x 3 x 5 x 5
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 339, 814, 720, 300
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(339, 814) = 275946
GCD(339, 814) = ( 339 x 814 ) / 275946
= 339 / 814
= 339
Step2:
LCM(1, 720) = 720
GCD(1, 720) = ( 1 x 720 ) / 720
= 1 / 720
= 1
Step3:
LCM(1, 300) = 300
GCD(1, 300) = ( 1 x 300 ) / 300
= 1 / 300
= 1
So, Greatest Common Divisor of 339, 814, 720, 300 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 339, 814, 720, 300
The greatest common divisor of numbers 339, 814, 720, 300 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 339, 814, 720, 300 is 1.
1. What is the GCD of 339, 814, 720, 300?
GCD of given numbers 339, 814, 720, 300 is 1
2. How to calculate the greatest common divisor of 339, 814, 720, 300?
We can find the highest common divisor of 339, 814, 720, 300 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 339, 814, 720, 300 i.e 1.
3. How can I use the GCD of 339, 814, 720, 300Calculator?
Out the numbers 339, 814, 720, 300 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.