Online GCD Calculator is useful to find the GCD of 720, 438, 685, 313 quickly. Get the easiest ways to solve the greatest common divisor of 720, 438, 685, 313 i.e 1 in different methods as follows.
Given Input numbers are 720, 438, 685, 313
In the factoring method, we have to find the divisors of all numbers
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 438 :
The positive integer divisors of 438 that completely divides 438 are.
1, 2, 3, 6, 73, 146, 219, 438
Divisors of 685 :
The positive integer divisors of 685 that completely divides 685 are.
1, 5, 137, 685
Divisors of 313 :
The positive integer divisors of 313 that completely divides 313 are.
1, 313
GCD of numbers is the greatest common divisor
So, the GCD (720, 438, 685, 313) = 1.
Given numbers are 720, 438, 685, 313
The list of prime factors of all numbers are
Prime factors of 720 are 2 x 2 x 2 x 2 x 3 x 3 x 5
Prime factors of 438 are 2 x 3 x 73
Prime factors of 685 are 5 x 137
Prime factors of 313 are 313
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 720, 438, 685, 313
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(720, 438) = 52560
GCD(720, 438) = ( 720 x 438 ) / 52560
= 720 / 438
= 720
Step2:
LCM(6, 685) = 4110
GCD(6, 685) = ( 6 x 685 ) / 4110
= 6 / 685
= 6
Step3:
LCM(1, 313) = 313
GCD(1, 313) = ( 1 x 313 ) / 313
= 1 / 313
= 1
So, Greatest Common Divisor of 720, 438, 685, 313 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 720, 438, 685, 313
The greatest common divisor of numbers 720, 438, 685, 313 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 720, 438, 685, 313 is 1.
1. What is the GCD of 720, 438, 685, 313?
GCD of given numbers 720, 438, 685, 313 is 1
2. How to calculate the greatest common divisor of 720, 438, 685, 313?
We can find the highest common divisor of 720, 438, 685, 313 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 720, 438, 685, 313 i.e 1.
3. How can I use the GCD of 720, 438, 685, 313Calculator?
Out the numbers 720, 438, 685, 313 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.