Online GCD Calculator is useful to find the GCD of 218, 416, 720, 397 quickly. Get the easiest ways to solve the greatest common divisor of 218, 416, 720, 397 i.e 1 in different methods as follows.
Given Input numbers are 218, 416, 720, 397
In the factoring method, we have to find the divisors of all numbers
Divisors of 218 :
The positive integer divisors of 218 that completely divides 218 are.
1, 2, 109, 218
Divisors of 416 :
The positive integer divisors of 416 that completely divides 416 are.
1, 2, 4, 8, 13, 16, 26, 32, 52, 104, 208, 416
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 397 :
The positive integer divisors of 397 that completely divides 397 are.
1, 397
GCD of numbers is the greatest common divisor
So, the GCD (218, 416, 720, 397) = 1.
Given numbers are 218, 416, 720, 397
The list of prime factors of all numbers are
Prime factors of 218 are 2 x 109
Prime factors of 416 are 2 x 2 x 2 x 2 x 2 x 13
Prime factors of 720 are 2 x 2 x 2 x 2 x 3 x 3 x 5
Prime factors of 397 are 397
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 218, 416, 720, 397
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(218, 416) = 45344
GCD(218, 416) = ( 218 x 416 ) / 45344
= 218 / 416
= 218
Step2:
LCM(2, 720) = 720
GCD(2, 720) = ( 2 x 720 ) / 720
= 2 / 720
= 2
Step3:
LCM(2, 397) = 794
GCD(2, 397) = ( 2 x 397 ) / 794
= 2 / 397
= 2
So, Greatest Common Divisor of 218, 416, 720, 397 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 218, 416, 720, 397
The greatest common divisor of numbers 218, 416, 720, 397 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 218, 416, 720, 397 is 1.
1. What is the GCD of 218, 416, 720, 397?
GCD of given numbers 218, 416, 720, 397 is 1
2. How to calculate the greatest common divisor of 218, 416, 720, 397?
We can find the highest common divisor of 218, 416, 720, 397 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 218, 416, 720, 397 i.e 1.
3. How can I use the GCD of 218, 416, 720, 397Calculator?
Out the numbers 218, 416, 720, 397 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.